7815 lines
376 KiB
Python
7815 lines
376 KiB
Python
# -*- coding: utf-8 -*-
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# PyMeeus: Python module implementing astronomical algorithms.
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# Copyright (C) 2018 Dagoberto Salazar
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU Lesser General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU Lesser General Public License for more details.
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#
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# You should have received a copy of the GNU Lesser General Public License
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# along with this program. If not, see <https://www.gnu.org/licenses/>.
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from math import sin, cos, tan, acos, atan2, sqrt, radians, log10
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from pymeeus.Angle import Angle
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from pymeeus.Epoch import Epoch, JDE2000
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from pymeeus.Interpolation import Interpolation
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from pymeeus.Coordinates import (
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geometric_vsop_pos, apparent_vsop_pos, orbital_elements,
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nutation_longitude, true_obliquity, ecliptical2equatorial,
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passage_nodes_elliptic
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)
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from pymeeus.Earth import Earth
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from pymeeus.Sun import Sun
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"""
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.. module:: Mercury
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:synopsis: Class to model Mercury planet
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:license: GNU Lesser General Public License v3 (LGPLv3)
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.. moduleauthor:: Dagoberto Salazar
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"""
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VSOP87_L = [
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# L0
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[
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[440250710.144, 0.00000000000, 0.00000000000],
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[40989414.976, 1.48302034194, 26087.90314157420],
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[5046294.199, 4.47785489540, 52175.80628314840],
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[855346.843, 1.16520322351, 78263.70942472259],
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[165590.362, 4.11969163181, 104351.61256629678],
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[34561.897, 0.77930765817, 130439.51570787099],
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[7583.476, 3.71348400510, 156527.41884944518],
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[3559.740, 1.51202669419, 1109.37855209340],
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[1726.012, 0.35832239908, 182615.32199101939],
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[1803.463, 4.10333178410, 5661.33204915220],
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[1364.682, 4.59918318745, 27197.28169366760],
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[1589.923, 2.99510417815, 25028.52121138500],
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[1017.332, 0.88031439040, 31749.23519072640],
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[714.182, 1.54144865265, 24978.52458948080],
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[643.759, 5.30266110787, 21535.94964451540],
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[404.200, 3.28228847025, 208703.22513259359],
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[352.441, 5.24156297101, 20426.57109242200],
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[343.313, 5.76531885335, 955.59974160860],
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[339.214, 5.86327765000, 25558.21217647960],
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[451.137, 6.04989275289, 51116.42435295920],
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[325.335, 1.33674334780, 53285.18483524180],
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[259.587, 0.98732428184, 4551.95349705880],
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[345.212, 2.79211901539, 15874.61759536320],
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[272.947, 2.49451163975, 529.69096509460],
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[234.830, 0.26672118900, 11322.66409830440],
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[238.793, 0.11343953378, 1059.38193018920],
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[264.336, 3.91705094013, 57837.13833230060],
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[216.645, 0.65987207348, 13521.75144159140],
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[183.359, 2.62878670784, 27043.50288318280],
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[175.965, 4.53636829858, 51066.42773105500],
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[181.629, 2.43413502466, 25661.30495069820],
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[208.995, 2.09178234008, 47623.85278608960],
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[172.643, 2.45200164173, 24498.83024629040],
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[142.316, 3.36003948842, 37410.56723987860],
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[137.942, 0.29098447849, 10213.28554621100],
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[118.233, 2.78149786369, 77204.32749453338],
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[96.860, 6.20398202740, 234791.12827416777],
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[125.219, 3.72079804425, 39609.65458316560],
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[86.819, 2.64219349385, 51646.11531805379],
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[86.723, 1.95953042650, 46514.47423399620],
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[88.329, 5.41338795963, 26617.59410666880],
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[106.422, 4.20572116254, 19804.82729158280],
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[89.987, 5.85243631094, 41962.52073693740],
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[84.971, 4.33100364958, 79373.08797681599],
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[69.247, 4.19446437496, 19.66976089979],
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[63.463, 3.14700877722, 7238.67559160000],
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[68.493, 0.63424819267, 83925.04147387479],
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[69.729, 3.57201709671, 25132.30339996560],
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[59.481, 2.74692752000, 16983.99614745660],
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[64.830, 0.04762925810, 33326.57873317420],
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[55.376, 4.05312663019, 30639.85663863300],
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[54.442, 3.14331542453, 27147.28507176339],
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[47.560, 5.49722099211, 3.88133535800],
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[49.567, 3.98985863874, 6770.71060124560],
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[56.531, 5.11920557675, 73711.75592766379],
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[41.764, 5.64185159566, 53131.40602475700],
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[51.458, 5.47786463494, 50586.73338786459],
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[44.744, 1.22366857463, 77154.33087262919],
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[41.882, 5.19309298528, 6283.07584999140],
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[38.045, 2.43117327523, 12566.15169998280],
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[35.627, 0.81390126585, 32858.61374281979],
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[48.007, 5.49260554912, 51749.20809227239],
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[35.392, 3.36964859355, 36301.18868778519],
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[33.951, 2.78618091049, 14765.23904326980],
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[30.560, 5.84045074182, 43071.89928903080],
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[35.964, 1.42380838630, 2218.75710418680],
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[34.044, 0.47470299167, 65697.55772473979],
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[30.800, 5.77017310191, 103292.23063610759],
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[28.496, 0.65048992658, 426.59819087600],
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[26.215, 5.24158618719, 22645.32819660879],
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[26.253, 0.64807043102, 1589.07289528380],
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[29.538, 0.69771244088, 213.29909543800],
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[27.504, 0.98010127839, 45892.73043315699],
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[22.347, 5.65335125838, 77734.01845962799],
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[22.047, 4.93398225193, 72602.37737557039],
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[22.275, 2.17909842576, 52705.49724824299],
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[24.252, 4.39994170609, 7.11354700080],
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[26.751, 1.06145361792, 3442.57494496540],
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[23.656, 2.84168536986, 260879.03141574195],
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[22.908, 2.58462026514, 68050.42387851159],
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[27.086, 0.08501738669, 63498.47038145279],
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[22.247, 3.22418265191, 25448.00585526019],
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[17.803, 3.61202297483, 110012.94461544899],
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[22.407, 1.02520094825, 105460.99111839019],
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[17.576, 4.71742326981, 25874.60404613620],
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[18.586, 4.52709871258, 28306.66024576099],
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[14.176, 6.12394176563, 53235.18821333759],
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[14.186, 5.14246797066, 26068.23338067440],
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[17.244, 0.28394746813, 51220.20654153979],
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[17.176, 3.26084092971, 153.77881048480],
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[14.938, 1.83542009339, 99799.65906923798],
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[13.387, 0.76564655407, 56727.75978020720],
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[13.978, 2.30193139916, 76674.63652943878],
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[14.428, 0.96646356501, 26107.57290247399],
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[11.990, 6.20492907598, 18849.22754997420],
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[14.381, 1.90956715654, 23969.13928119580],
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[11.233, 2.04817126136, 32370.97899156560],
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[13.392, 4.51750784605, 26080.78959457339],
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[11.632, 2.38496860260, 79219.30916633119],
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[12.412, 2.22280944169, 77837.11123384659],
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[9.950, 2.04594448880, 48733.23133818299],
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[9.803, 2.26706433546, 26091.78447693220],
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[9.362, 5.44291958209, 38654.05484155699],
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[9.747, 3.83976857418, 26084.02180621620],
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[9.264, 4.02987000812, 467.96499035440],
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[8.961, 0.11062526114, 62389.09182935939],
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[11.543, 4.17789167759, 103242.23401420339],
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[11.146, 3.78292300417, 26301.20223701220],
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[9.677, 2.98527809776, 59414.48187474840],
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[8.977, 3.47888073089, 91785.46086631398],
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[9.664, 5.77941968495, 25938.33994443960],
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[8.855, 2.84672636028, 25035.63475838580],
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[8.181, 5.77857196635, 40853.14218484400],
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[8.033, 2.45692824195, 129380.13377768178],
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[8.343, 5.34499871294, 19317.19254032860],
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[7.425, 4.71160330390, 6.62855890001],
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[9.001, 6.23396256413, 25021.40766438420],
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[8.126, 1.12294634635, 26095.01668857500],
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[6.568, 3.66248946629, 26514.50133245020],
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[7.038, 3.99035923761, 71980.63357473118],
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[6.956, 1.62821260299, 23869.14603738740],
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[7.595, 0.18334396433, 12432.04265039780],
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[6.061, 3.67044794062, 27676.97603685800],
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[5.896, 5.57171141866, 94138.32702008578],
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[5.716, 5.18204203484, 78793.40038981718],
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[5.855, 2.14311779301, 20760.42703319140],
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[5.681, 1.60727624525, 98690.28051714458],
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[5.788, 2.35467492390, 103821.92160120218],
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[5.121, 3.77832929907, 58946.51688439399],
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[5.873, 5.76210244486, 286966.93455731618],
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[5.858, 6.12538452806, 26011.63707029860],
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[5.215, 3.29186833997, 38519.94579197200],
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[6.000, 0.00057044073, 51535.90899683439],
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[4.647, 0.29020584575, 136100.84775702318],
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[5.787, 4.44783057272, 19406.67828817460],
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[5.908, 4.12195491631, 29530.47808653960],
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[5.918, 3.98930701135, 131548.89425996438],
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[5.728, 3.02314979708, 89586.37352302698],
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[3.928, 4.81437933690, 125887.56221081219],
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[3.929, 2.48449041501, 69159.80243060499],
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[3.681, 2.80180999964, 79323.09135491178],
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[4.498, 1.50325539137, 51962.50718771040],
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[3.687, 5.33717753698, 102762.53967101299],
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[3.497, 1.85400531491, 52156.13652224860],
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[3.867, 1.25354714671, 54394.56338733519],
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[4.459, 4.88911997687, 50057.04242277000],
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[3.396, 3.73870967348, 82815.66292178139],
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[3.525, 6.07665337319, 25934.12433108940],
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[3.492, 1.28206984744, 52168.69273614759],
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[3.411, 6.13976263434, 639.89728631400],
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[4.395, 3.25475914760, 77308.10968311399],
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[2.990, 5.27323635392, 46848.33017476560],
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[3.218, 5.20938751579, 103925.01437542078],
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[2.899, 5.08451495112, 58458.88213313979],
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[3.708, 0.02713701028, 26241.68195205900],
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[2.991, 2.92278339368, 44937.13069154840],
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[3.177, 0.05753403864, 22747.29071487440],
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[3.163, 5.38713552769, 105307.21230790539],
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[3.556, 3.96231142071, 52195.47604404819],
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[2.787, 0.54704419913, 52389.10537858640],
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[2.458, 1.14904830408, 2333.19639287200],
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[2.492, 5.24922078791, 25668.41849769900],
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[2.409, 2.14208355028, 64741.95798313119],
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[2.509, 0.61934630416, 85034.42002596818],
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[2.416, 5.26204437192, 52179.68761850640],
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[2.296, 3.09900451546, 88476.99497093359],
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[2.357, 0.17742385045, 117873.36400788819],
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[3.012, 0.83689268367, 129330.13715577759],
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[2.421, 3.95913346049, 49.99662190420],
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[2.197, 2.56129546358, 3340.61242669980],
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[2.402, 0.55121112633, 52171.92494779040],
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[2.106, 5.41271503337, 155468.03691925600],
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[2.566, 3.00606194044, 51109.31080595839],
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[2.392, 0.17898534184, 103.09277421860],
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[2.737, 1.08192567668, 632.78373931320],
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[2.523, 5.90356438675, 51123.53789995999],
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[2.098, 2.47132069140, 66941.04532641819],
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[2.003, 3.75422326828, 16066.06586147480],
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[2.188, 1.18654376903, 2118.76386037840],
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[2.593, 2.55122032446, 25654.19140369739],
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[2.559, 1.18101453315, 45494.58142974879],
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[1.918, 0.79899605678, 26555.86813192860],
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[1.819, 0.69178943674, 98068.53671630539],
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[2.471, 2.55057179214, 52026.24308601380],
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[1.704, 0.36723577740, 52602.40447402440],
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[2.129, 2.66251948472, 18093.37469954999],
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[1.715, 4.62177464710, 49957.04917896160],
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[1.916, 5.83726462050, 85502.38501632259],
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[1.976, 3.57365896777, 24395.73747207180],
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[1.581, 0.36987184257, 53764.87917843220],
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[1.589, 1.33531241950, 114.43928868521],
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[2.042, 2.05385564074, 45405.09568190280],
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[1.539, 2.25468618977, 120226.23016165999],
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[1.525, 1.48231179113, 26094.53170047421],
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[2.055, 4.16315644175, 52182.91983014920],
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[1.829, 0.38846130335, 522.57741809380],
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[2.105, 4.04128506778, 25234.70675982219],
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[1.480, 1.87644604156, 104881.30353139139],
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[1.460, 1.01790185557, 25455.11940226100],
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[1.453, 0.34125222190, 1052.26838318840],
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[1.449, 3.39742463494, 24505.94379329119],
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[1.480, 4.55094492082, 124778.18365871879],
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[1.481, 3.62242942443, 149.56319713460],
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[1.516, 5.32327802440, 129909.82474277639],
|
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[1.594, 3.00887674765, 77623.81213840858],
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[1.927, 3.90378108197, 74.78159856730],
|
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[1.373, 4.32419381493, 80482.46652890938],
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[1.419, 3.90109225299, 7880.08915333899],
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[1.525, 4.62451312025, 26081.27458267419],
|
|
[1.567, 0.65981123945, 157636.79740153858],
|
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[1.725, 4.40112128069, 316.39186965660],
|
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[1.263, 4.96320745251, 74821.13447975718],
|
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[1.472, 5.56006656586, 95247.70557217918],
|
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[1.315, 1.83254115004, 76144.94556434419],
|
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[1.439, 0.83286166370, 55618.38122811380],
|
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[1.355, 3.15837061982, 1066.49547719000],
|
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[1.224, 3.24032680768, 162188.75089859738],
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[1.390, 5.13745290383, 419.48464387520],
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[1.310, 5.28250636680, 25619.93815121980],
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[1.477, 2.40227455027, 313054.83769889036],
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[1.252, 5.65227031449, 26013.12154300690],
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[1.143, 0.38707356937, 42153.96900304900],
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[1.082, 2.56550728704, 26190.99591579279],
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[1.493, 2.89973504649, 52099.54021187280],
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[1.468, 5.71507791250, 24491.71669928959],
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[1.034, 1.49544294440, 151975.46535238638],
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[1.314, 5.91505351846, 115674.27666460119],
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[1.065, 3.61081835123, 206.18554843720],
|
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[1.053, 5.17996026320, 23754.70674870219],
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[0.964, 2.05264296353, 128850.44281258718],
|
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[1.032, 3.39114761061, 25551.09862947879],
|
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[1.065, 3.38225524038, 25863.55834587229],
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[1.153, 5.76498787983, 44181.27784112419],
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[0.960, 5.74774250678, 105410.99449648599],
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[1.137, 6.20919445956, 103396.01282468818],
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[0.914, 4.28855434634, 78256.59587772179],
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[0.917, 3.27543718918, 76.26607127560],
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[0.892, 4.82397571946, 78244.03966382280],
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[0.976, 4.86442946387, 25131.61398560359],
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[1.086, 0.73424633411, 33967.99229491319],
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[1.162, 4.52128441898, 78050.41032928458],
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[0.868, 2.78848256837, 52022.02747266360],
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[0.943, 4.09736853870, 26720.68688088739],
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[0.973, 4.54018615747, 24925.42843716640],
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[0.845, 5.05414707498, 25977.69682035479],
|
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[0.841, 1.89412486884, 130012.91751699499],
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[0.920, 3.02504494542, 52329.58509363319],
|
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[0.814, 3.15330668609, 48835.19385644859],
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[0.876, 0.41318857467, 108903.56606335558],
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[0.818, 1.61477924287, 40565.25432477420],
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|
[0.004, 1.10749672173, 51086.09749195479],
|
|
[0.005, 3.64294402198, 27331.39074325260],
|
|
[0.004, 0.00216060134, 213255.17862965239],
|
|
[0.004, 4.40507427126, 129483.22655190038],
|
|
[0.004, 2.18529936793, 23384.28698689860],
|
|
[0.005, 0.93391333656, 52102.50915728939],
|
|
[0.004, 2.33941435272, 23389.45169419700],
|
|
[0.004, 3.59370682931, 46564.47085590040],
|
|
[0.004, 2.90835831307, 61299.38303816579],
|
|
[0.004, 6.27884818175, 170068.84005193636],
|
|
[0.004, 4.90170477242, 104888.41707839219],
|
|
[0.004, 4.56426377076, 46131.57770177300],
|
|
[0.005, 2.12658067178, 130542.60848208958],
|
|
[0.005, 2.50519016528, 79845.66877300559],
|
|
[0.004, 6.24881318031, 18073.70493865020],
|
|
[0.004, 1.10868110225, 52072.02409456780],
|
|
[0.004, 6.14515791357, 34102.10134449819],
|
|
[0.004, 2.94097893970, 129902.71119577558],
|
|
[0.004, 2.91542426579, 130215.17091216908],
|
|
[0.005, 2.20146513310, 82865.65954368559],
|
|
[0.005, 4.46570663623, 104237.17327761157],
|
|
[0.004, 5.13334797430, 26387.02953584340],
|
|
[0.004, 5.34965278511, 24787.07632336920],
|
|
[0.004, 4.17772291197, 53132.09543911899],
|
|
[0.004, 2.66996288682, 25572.43927048119],
|
|
[0.005, 1.14175711692, 188898.39784101077],
|
|
],
|
|
# L1
|
|
[
|
|
[2608814706222.746, 0.00000000000, 0.00000000000],
|
|
[1126007.832, 6.21703970996, 26087.90314157420],
|
|
[303471.395, 3.05565472363, 52175.80628314840],
|
|
[80538.452, 6.10454743366, 78263.70942472259],
|
|
[21245.035, 2.83531934452, 104351.61256629678],
|
|
[5592.094, 5.82675673328, 130439.51570787099],
|
|
[1472.233, 2.51845458395, 156527.41884944518],
|
|
[352.244, 3.05238094403, 1109.37855209340],
|
|
[388.318, 5.48039225891, 182615.32199101939],
|
|
[93.540, 6.11791163931, 27197.28169366760],
|
|
[90.579, 0.00045481669, 24978.52458948080],
|
|
[102.743, 2.14879173777, 208703.22513259359],
|
|
[51.941, 5.62107554052, 5661.33204915220],
|
|
[44.370, 4.57348500464, 25028.52121138500],
|
|
[28.070, 3.04195430989, 51066.42773105500],
|
|
[22.003, 0.86475371243, 955.59974160860],
|
|
[27.295, 5.09210138837, 234791.12827416777],
|
|
[20.425, 3.71509622702, 20426.57109242200],
|
|
[20.221, 0.51934047295, 21535.94964451540],
|
|
[17.496, 5.72663608620, 4551.95349705880],
|
|
[16.680, 1.35134428173, 529.69096509460],
|
|
[15.306, 1.79184360652, 11322.66409830440],
|
|
[15.398, 5.74263453989, 19.66976089979],
|
|
[13.964, 3.59426938083, 24498.83024629040],
|
|
[12.822, 2.69591798562, 53285.18483524180],
|
|
[12.621, 3.89530641889, 3.88133535800],
|
|
[12.566, 4.70537436663, 1059.38193018920],
|
|
[7.974, 4.17682324505, 26617.59410666880],
|
|
[7.929, 0.50426804318, 46514.47423399620],
|
|
[8.024, 3.92723313702, 27043.50288318280],
|
|
[7.665, 2.48158305355, 57837.13833230060],
|
|
[8.639, 6.06360282793, 77154.33087262919],
|
|
[6.838, 2.77387065312, 7.11354700080],
|
|
[6.554, 5.53478998989, 6770.71060124560],
|
|
[5.846, 4.28139659800, 16983.99614745660],
|
|
[7.285, 1.74581868954, 260879.03141574195],
|
|
[7.179, 2.97766079692, 2218.75710418680],
|
|
[6.364, 2.13805619380, 25132.30339996560],
|
|
[5.883, 2.19545230409, 13521.75144159140],
|
|
[4.969, 2.47752134180, 30639.85663863300],
|
|
[4.578, 1.55845855383, 27147.28507176339],
|
|
[4.857, 4.84757952324, 37410.56723987860],
|
|
[5.022, 3.94124675992, 25661.30495069820],
|
|
[4.381, 4.94471456712, 213.29909543800],
|
|
[4.211, 5.53886788148, 83925.04147387479],
|
|
[4.299, 5.09070560802, 10213.28554621100],
|
|
[4.593, 0.81920676333, 25558.21217647960],
|
|
[3.571, 2.34341884629, 32858.61374281979],
|
|
[4.454, 5.79159156180, 3442.57494496540],
|
|
[3.547, 3.59413896239, 26068.23338067440],
|
|
[3.664, 1.39952931281, 77204.32749453338],
|
|
[3.417, 0.49855041138, 22645.32819660879],
|
|
[3.195, 1.25743024246, 14765.23904326980],
|
|
[3.031, 4.45207030477, 7238.67559160000],
|
|
[3.284, 5.22996707635, 25448.00585526019],
|
|
[2.974, 0.14234349726, 50586.73338786459],
|
|
[2.855, 0.67083991526, 26091.78447693220],
|
|
[2.773, 3.54351198199, 72602.37737557039],
|
|
[3.132, 6.21365344759, 26080.78959457339],
|
|
[2.732, 5.64171761904, 1589.07289528380],
|
|
[2.652, 0.88219699366, 52705.49724824299],
|
|
[3.125, 6.07160751766, 28306.66024576099],
|
|
[2.799, 2.51152391376, 26107.57290247399],
|
|
[2.403, 1.15515130360, 25035.63475838580],
|
|
[2.274, 1.85167073193, 36301.18868778519],
|
|
[2.501, 4.34723465048, 41962.52073693740],
|
|
[2.321, 5.44262378304, 26084.02180621620],
|
|
[2.535, 5.80101392346, 26095.01668857500],
|
|
[2.872, 1.63503968499, 25021.40766438420],
|
|
[2.066, 1.07231845630, 43071.89928903080],
|
|
[2.616, 2.78322243283, 103242.23401420339],
|
|
[1.987, 2.95923214706, 23969.13928119580],
|
|
[1.979, 4.44092591248, 103292.23063610759],
|
|
[1.974, 0.83681704901, 12566.15169998280],
|
|
[1.700, 2.28603732736, 110012.94461544899],
|
|
[1.677, 4.63366122462, 53235.18821333759],
|
|
[1.954, 4.67733727976, 286966.93455731618],
|
|
[1.653, 1.25518276011, 33326.57873317420],
|
|
[1.785, 1.80830270808, 26301.20223701220],
|
|
[1.784, 5.17926273269, 426.59819087600],
|
|
[2.143, 5.16312278245, 51220.20654153979],
|
|
[1.597, 5.53494401703, 56727.75978020720],
|
|
[1.590, 0.07660134798, 23869.14603738740],
|
|
[1.574, 3.75870586370, 73711.75592766379],
|
|
[1.362, 1.13830507985, 68050.42387851159],
|
|
[1.358, 1.45317020242, 51646.11531805379],
|
|
[1.586, 4.65681044624, 79373.08797681599],
|
|
[1.347, 3.80254397382, 19317.19254032860],
|
|
[1.242, 3.79389911401, 25874.60404613620],
|
|
[1.124, 1.28920904043, 31749.23519072640],
|
|
[1.065, 4.31416942177, 40853.14218484400],
|
|
[1.014, 3.58126441973, 48733.23133818299],
|
|
[1.259, 1.73130656223, 12432.04265039780],
|
|
[0.989, 0.33276224293, 52156.13652224860],
|
|
[1.057, 4.35251408825, 77734.01845962799],
|
|
[1.033, 3.72503880786, 6283.07584999140],
|
|
[0.894, 0.29768279333, 105460.99111839019],
|
|
[0.910, 0.49823258962, 99799.65906923798],
|
|
[0.999, 5.29812267938, 65697.55772473979],
|
|
[1.138, 2.56391312022, 29530.47808653960],
|
|
[0.876, 4.91112286703, 62389.09182935939],
|
|
[0.912, 0.27449857787, 98690.28051714458],
|
|
[0.879, 4.78847722011, 18849.22754997420],
|
|
[0.869, 3.87957425954, 78793.40038981718],
|
|
[0.831, 2.35459129726, 27676.97603685800],
|
|
[0.791, 1.17444825871, 129380.13377768178],
|
|
[0.782, 3.92653768734, 38654.05484155699],
|
|
[0.782, 3.69412482234, 52179.68761850640],
|
|
[0.745, 2.09648894863, 51535.90899683439],
|
|
[0.736, 6.05470921559, 114.43928868521],
|
|
[0.733, 3.23019978320, 47623.85278608960],
|
|
[0.698, 2.99026308247, 52168.69273614759],
|
|
[0.780, 5.77004504059, 129330.13715577759],
|
|
[0.752, 4.22525357653, 51123.53789995999],
|
|
[0.752, 4.70099207936, 51109.31080595839],
|
|
[0.651, 5.87383050095, 2333.19639287200],
|
|
[0.699, 4.82823185979, 38519.94579197200],
|
|
[0.656, 3.65375726729, 25668.41849769900],
|
|
[0.660, 1.98037689941, 26514.50133245020],
|
|
[0.808, 6.27898737551, 53131.40602475700],
|
|
[0.753, 5.64446551994, 45892.73043315699],
|
|
[0.610, 1.21194007471, 153.77881048480],
|
|
[0.604, 5.29267380518, 136100.84775702318],
|
|
[0.811, 4.22885181263, 25654.19140369739],
|
|
[0.697, 1.89331617498, 77308.10968311399],
|
|
[0.581, 2.61707271637, 76674.63652943878],
|
|
[0.549, 4.18661776549, 94138.32702008578],
|
|
[0.567, 6.08785859254, 25234.70675982219],
|
|
[0.549, 2.08003708209, 91785.46086631398],
|
|
[0.563, 1.38660458000, 79323.09135491178],
|
|
[0.527, 5.83448542494, 50057.04242277000],
|
|
[0.524, 2.45745967369, 467.96499035440],
|
|
[0.570, 3.10425513710, 15874.61759536320],
|
|
[0.699, 2.57322536922, 52182.91983014920],
|
|
[0.501, 0.39578180187, 32370.97899156560],
|
|
[0.542, 2.77109053528, 54394.56338733519],
|
|
[0.525, 1.31791713133, 313054.83769889036],
|
|
[0.513, 2.28640740711, 82815.66292178139],
|
|
[0.579, 5.45103833735, 52195.47604404819],
|
|
[0.617, 4.18395572588, 639.89728631400],
|
|
[0.449, 3.10044122691, 49957.04917896160],
|
|
[0.495, 2.11807671869, 52171.92494779040],
|
|
[0.431, 3.06714836720, 131548.89425996438],
|
|
[0.427, 5.35367311100, 49.99662190420],
|
|
[0.470, 1.46585019834, 1066.49547719000],
|
|
[0.470, 1.07485595760, 103821.92160120218],
|
|
[0.415, 2.50109134151, 71980.63357473118],
|
|
[0.395, 5.24320159822, 58946.51688439399],
|
|
[0.408, 0.92030240581, 77837.11123384659],
|
|
[0.523, 4.92390082310, 52389.10537858640],
|
|
[0.377, 3.50882025297, 125887.56221081219],
|
|
[0.508, 1.03838633466, 24491.71669928959],
|
|
[0.418, 0.36439379673, 51962.50718771040],
|
|
[0.400, 3.51557589073, 20760.42703319140],
|
|
[0.359, 0.03091967859, 2118.76386037840],
|
|
[0.356, 2.03727281128, 1052.26838318840],
|
|
[0.423, 4.21437546240, 18093.37469954999],
|
|
[0.340, 1.64349471632, 79219.30916633119],
|
|
[0.336, 1.55276786593, 24505.94379329119],
|
|
[0.348, 1.06528227311, 66941.04532641819],
|
|
[0.327, 5.45093694594, 7880.08915333899],
|
|
[0.303, 1.67537340603, 88476.99497093359],
|
|
[0.323, 5.59204872298, 55618.38122811380],
|
|
[0.281, 0.83478570176, 63498.47038145279],
|
|
[0.393, 0.55222046684, 45405.09568190280],
|
|
[0.280, 0.69995179262, 64741.95798313119],
|
|
[0.381, 2.16540447546, 522.57741809380],
|
|
[0.279, 4.17319236859, 155468.03691925600],
|
|
[0.314, 1.52755129973, 44937.13069154840],
|
|
[0.280, 3.33549459014, 78244.03966382280],
|
|
[0.272, 5.34763989826, 53764.87917843220],
|
|
[0.287, 4.98400171694, 25551.09862947879],
|
|
[0.288, 3.26773464056, 124778.18365871879],
|
|
[0.275, 0.59220058467, 104881.30353139139],
|
|
[0.229, 5.07700202235, 52602.40447402440],
|
|
[0.265, 1.04033681288, 25938.33994443960],
|
|
[0.224, 5.10726819180, 117873.36400788819],
|
|
[0.242, 0.44760602599, 23754.70674870219],
|
|
[0.214, 3.50460190598, 58458.88213313979],
|
|
[0.230, 2.45937674101, 155418.04029735178],
|
|
[0.211, 3.92377004339, 103925.01437542078],
|
|
[0.282, 3.81265243625, 536.80451209540],
|
|
[0.218, 4.88963285925, 103396.01282468818],
|
|
[0.200, 5.41573374322, 16066.06586147480],
|
|
[0.218, 0.41409439248, 78267.59076008058],
|
|
[0.201, 2.38235635877, 23439.44831610119],
|
|
[0.203, 2.69458032262, 59414.48187474840],
|
|
[0.196, 0.92807787406, 120226.23016165999],
|
|
[0.201, 2.00560473829, 162188.75089859738],
|
|
[0.183, 3.83128433173, 69159.80243060499],
|
|
[0.180, 2.20428238305, 89586.37352302698],
|
|
[0.215, 5.35652096610, 206.18554843720],
|
|
[0.178, 1.24568538055, 103.09277421860],
|
|
[0.196, 0.44564203205, 51756.32163927320],
|
|
[0.183, 2.88003872828, 3328.13565628019],
|
|
[0.216, 4.48180965712, 26241.68195205900],
|
|
[0.215, 2.26752450953, 33967.99229491319],
|
|
[0.193, 4.34407767816, 105307.21230790539],
|
|
[0.200, 1.01165813281, 51742.09454527159],
|
|
[0.170, 5.57003076622, 98068.53671630539],
|
|
[0.224, 0.97932137082, 77211.44104153418],
|
|
[0.168, 5.96360976147, 157636.79740153858],
|
|
[0.178, 1.42319344949, 77197.21394753258],
|
|
[0.196, 5.59654497318, 78270.82297172339],
|
|
[0.161, 5.51918174079, 26555.86813192860],
|
|
[0.197, 4.79975858562, 25455.11940226100],
|
|
[0.181, 4.39987679970, 105410.99449648599],
|
|
[0.159, 2.63928704121, 28421.09953444620],
|
|
[0.158, 0.75224521142, 51116.42435295920],
|
|
[0.196, 4.92493608061, 102762.53967101299],
|
|
[0.162, 2.82561928047, 26202.34243025941],
|
|
[0.194, 1.02167898855, 44181.27784112419],
|
|
[0.179, 5.11561177302, 25440.89230825939],
|
|
[0.152, 5.21934955501, 77623.81213840858],
|
|
[0.150, 5.98491689335, 78256.59587772179],
|
|
[0.184, 0.26375114604, 419.48464387520],
|
|
[0.144, 2.90657294970, 51322.60990139639],
|
|
[0.163, 1.01728531879, 26727.80042788820],
|
|
[0.160, 1.39225289207, 26011.63707029860],
|
|
[0.145, 5.76503611587, 80482.46652890938],
|
|
[0.140, 0.27227514908, 46848.33017476560],
|
|
[0.136, 0.22641179921, 151975.46535238638],
|
|
[0.142, 4.24343923379, 339142.74084046460],
|
|
[0.178, 4.08547287819, 129909.82474277639],
|
|
[0.142, 3.31130337074, 78050.41032928458],
|
|
[0.131, 0.70125733168, 3340.61242669980],
|
|
[0.154, 1.72826405606, 78477.00852016058],
|
|
[0.159, 5.29643521725, 108903.56606335558],
|
|
[0.129, 3.26743532785, 25973.46385288896],
|
|
[0.128, 6.10775258657, 76044.95232053580],
|
|
[0.144, 4.06091644657, 50579.61984086379],
|
|
[0.164, 6.17696810226, 19406.67828817460],
|
|
[0.139, 5.11979950242, 433.71173787680],
|
|
[0.153, 1.30046862259, 13655.86049117640],
|
|
[0.132, 5.23445066335, 26610.48055966799],
|
|
[0.115, 4.61845793770, 50593.84693486539],
|
|
[0.121, 2.52027376421, 76144.94556434419],
|
|
[0.114, 4.51555533683, 27154.39861876420],
|
|
[0.106, 5.18068866237, 85502.38501632259],
|
|
[0.110, 3.45757703411, 25565.32572348040],
|
|
[0.100, 0.11496600894, 74821.13447975718],
|
|
[0.100, 3.95989644984, 26037.90651966999],
|
|
[0.100, 3.01535382150, 28206.66700195260],
|
|
[0.099, 5.99257260255, 29416.03879785439],
|
|
[0.117, 3.56597928882, 71492.99882347698],
|
|
[0.131, 5.96070215452, 1223.81784077861],
|
|
[0.095, 1.84065750300, 85034.42002596818],
|
|
[0.102, 4.69459571654, 114564.89811250778],
|
|
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|
|
[0.003, 5.95559848753, 104344.98400739678],
|
|
[0.004, 3.60184879954, 207114.15223730978],
|
|
[0.003, 3.28684847821, 208276.62694171758],
|
|
[0.003, 2.80509981839, 104358.24112519680],
|
|
[0.003, 5.02808401414, 130432.40216087017],
|
|
[0.003, 6.16601650050, 20043.67456019880],
|
|
[0.003, 5.29581547615, 57503.28239153120],
|
|
[0.003, 1.35036448550, 23919.14265929160],
|
|
[0.002, 3.75076268715, 130005.80396999417],
|
|
[0.003, 3.05479754348, 162810.49469943656],
|
|
[0.003, 2.06087055668, 52065.59996192899],
|
|
[0.003, 1.11245383788, 192828.60753723036],
|
|
[0.002, 1.90218644384, 24356.78078864160],
|
|
[0.002, 4.74203919229, 76887.93562487679],
|
|
[0.002, 0.63548334553, 23384.28698689860],
|
|
[0.002, 2.51564214512, 26667.59072857300],
|
|
[0.002, 6.08909078783, 116783.65521669458],
|
|
[0.002, 3.56733241522, 26073.67604757259],
|
|
[0.003, 5.60392923976, 104466.05185498200],
|
|
[0.002, 3.56126103854, 26189.86565983980],
|
|
[0.002, 5.97797555746, 50167.24874398939],
|
|
[0.002, 4.41481991835, 65538.25598994759],
|
|
[0.002, 5.91297170155, 87367.61641884019],
|
|
[0.002, 5.17508169630, 163298.12945069079],
|
|
[0.003, 1.10832319418, 25600.26839032000],
|
|
[0.002, 2.11477268878, 25773.71696170459],
|
|
[0.002, 2.15515419441, 51951.46148744649],
|
|
[0.003, 5.43138498093, 106684.80895916879],
|
|
[0.002, 0.11511311275, 27170.98337386779],
|
|
[0.002, 5.22579437397, 6885.14988993081],
|
|
[0.002, 2.93412437896, 63786.35824152260],
|
|
[0.003, 6.19860078008, 25004.82290928060],
|
|
[0.002, 0.23150025826, 24448.83362438620],
|
|
[0.002, 0.54898566845, 153084.84390447979],
|
|
[0.002, 0.63373893542, 1265.56747862640],
|
|
[0.002, 4.49873870855, 50007.04580086580],
|
|
[0.002, 5.57750243319, 25928.60140678200],
|
|
[0.002, 5.66467419812, 25466.15934073500],
|
|
[0.002, 5.10682926241, 159969.99379441058],
|
|
[0.002, 3.49751807681, 259819.64948555277],
|
|
],
|
|
# L2
|
|
[
|
|
[53049.845, 0.00000000000, 0.00000000000],
|
|
[16903.658, 4.69072300649, 26087.90314157420],
|
|
[7396.711, 1.34735624669, 52175.80628314840],
|
|
[3018.297, 4.45643539705, 78263.70942472259],
|
|
[1107.419, 1.26226537554, 104351.61256629678],
|
|
[378.173, 4.31998055900, 130439.51570787099],
|
|
[122.998, 1.06868541052, 156527.41884944518],
|
|
[38.663, 4.08011610182, 182615.32199101939],
|
|
[14.898, 4.63343085810, 1109.37855209340],
|
|
[11.861, 0.79187646439, 208703.22513259359],
|
|
[5.243, 4.71799772791, 24978.52458948080],
|
|
[3.575, 3.77317513032, 234791.12827416777],
|
|
[2.566, 1.44059109766, 27197.28169366760],
|
|
[2.045, 1.49570544876, 51066.42773105500],
|
|
[1.064, 0.46023695675, 260879.03141574195],
|
|
[0.972, 1.80344701358, 955.59974160860],
|
|
[0.628, 6.18483168149, 529.69096509460],
|
|
[0.628, 4.84930105320, 24498.83024629040],
|
|
[0.763, 4.54299337366, 77154.33087262919],
|
|
[0.654, 0.98170349539, 5661.33204915220],
|
|
[0.572, 5.92841937309, 25028.52121138500],
|
|
[0.552, 2.13228646570, 20426.57109242200],
|
|
[0.507, 4.11466890786, 4551.95349705880],
|
|
[0.608, 4.54152310086, 2218.75710418680],
|
|
[0.439, 3.40705996719, 11322.66409830440],
|
|
[0.381, 2.83442391504, 26617.59410666880],
|
|
[0.370, 0.82360646560, 6770.71060124560],
|
|
[0.312, 5.18785829630, 46514.47423399620],
|
|
[0.314, 3.42002895816, 286966.93455731618],
|
|
[0.307, 3.20507351217, 1059.38193018920],
|
|
[0.332, 0.97416155325, 25132.30339996560],
|
|
[0.327, 2.22989850002, 21535.94964451540],
|
|
[0.303, 4.68482058244, 27043.50288318280],
|
|
[0.247, 5.87612469398, 16983.99614745660],
|
|
[0.311, 4.22422008005, 3442.57494496540],
|
|
[0.237, 4.37101224231, 114.43928868521],
|
|
[0.234, 0.93917232374, 30639.85663863300],
|
|
[0.273, 1.29086264556, 103242.23401420339],
|
|
[0.209, 3.30158370895, 213.29909543800],
|
|
[0.197, 2.07792605062, 22645.32819660879],
|
|
[0.182, 0.62534354989, 25448.00585526019],
|
|
[0.219, 1.34188738340, 28306.66024576099],
|
|
[0.168, 6.20806483822, 27147.28507176339],
|
|
[0.156, 3.91999448441, 32858.61374281979],
|
|
[0.160, 5.79377449410, 52705.49724824299],
|
|
[0.153, 4.33936015634, 1589.07289528380],
|
|
[0.161, 4.80105233203, 23869.14603738740],
|
|
[0.148, 1.97575825359, 72602.37737557039],
|
|
[0.145, 5.96024756685, 14765.23904326980],
|
|
[0.129, 4.16213277137, 23969.13928119580],
|
|
[0.135, 3.86775437070, 51220.20654153979],
|
|
[0.140, 3.66642468738, 25558.21217647960],
|
|
[0.108, 1.39723983534, 50586.73338786459],
|
|
[0.115, 0.15124159675, 26301.20223701220],
|
|
[0.113, 4.98137485250, 79373.08797681599],
|
|
[0.115, 3.05230359467, 53285.18483524180],
|
|
[0.099, 3.99635236807, 56727.75978020720],
|
|
[0.099, 3.84242768306, 83925.04147387479],
|
|
[0.093, 2.04998627084, 26068.23338067440],
|
|
[0.092, 0.08628005998, 313054.83769889036],
|
|
[0.094, 4.30968259383, 129330.13715577759],
|
|
[0.085, 3.01984486981, 53235.18821333759],
|
|
[0.105, 5.32363189985, 7238.67559160000],
|
|
[0.095, 2.24093904831, 19317.19254032860],
|
|
[0.099, 1.00218248773, 29530.47808653960],
|
|
[0.075, 5.40269356209, 26091.78447693220],
|
|
[0.074, 4.31017375756, 2333.19639287200],
|
|
[0.086, 0.78555390902, 57837.13833230060],
|
|
[0.081, 0.95889229790, 26107.57290247399],
|
|
[0.085, 3.28561166885, 12432.04265039780],
|
|
[0.070, 3.55533072657, 13521.75144159140],
|
|
[0.078, 0.27707431029, 37410.56723987860],
|
|
[0.063, 0.65828525440, 110012.94461544899],
|
|
[0.064, 2.68437002997, 43071.89928903080],
|
|
[0.067, 3.89216578780, 26084.02180621620],
|
|
[0.064, 2.75958867988, 40853.14218484400],
|
|
[0.061, 5.77836694481, 12566.15169998280],
|
|
[0.069, 3.44813862795, 10213.28554621100],
|
|
[0.060, 0.79452201416, 53131.40602475700],
|
|
[0.063, 5.02106928248, 98690.28051714458],
|
|
[0.063, 2.49160532665, 78793.40038981718],
|
|
[0.059, 0.15541098170, 36301.18868778519],
|
|
[0.056, 1.01839356017, 27676.97603685800],
|
|
[0.053, 1.55958841442, 49957.04917896160],
|
|
[0.052, 5.14041028675, 52156.13652224860],
|
|
[0.052, 1.15062443564, 26202.34243025941],
|
|
[0.052, 0.53687576880, 77308.10968311399],
|
|
[0.048, 1.60851837486, 25234.70675982219],
|
|
[0.048, 5.19507775798, 48733.23133818299],
|
|
[0.053, 5.49113976101, 25661.30495069820],
|
|
[0.046, 5.18676728087, 77204.32749453338],
|
|
[0.044, 4.97145613800, 25973.46385288896],
|
|
[0.054, 0.32708522231, 25874.60404613620],
|
|
[0.042, 2.21900478384, 52179.68761850640],
|
|
[0.045, 2.52716095523, 103292.23063610759],
|
|
[0.048, 0.48944876530, 51646.11531805379],
|
|
[0.039, 6.25275173960, 47623.85278608960],
|
|
[0.041, 2.81015791586, 41962.52073693740],
|
|
[0.037, 5.01445357044, 26080.78959457339],
|
|
[0.038, 6.08585317961, 79323.09135491178],
|
|
[0.043, 3.24574920597, 52389.10537858640],
|
|
[0.041, 2.43000457106, 639.89728631400],
|
|
[0.039, 0.76157461206, 82815.66292178139],
|
|
[0.034, 3.28090243752, 62389.09182935939],
|
|
[0.037, 0.05738918168, 38519.94579197200],
|
|
[0.035, 5.78457148656, 68050.42387851159],
|
|
[0.040, 3.14856042352, 426.59819087600],
|
|
[0.042, 4.09553132731, 52195.47604404819],
|
|
[0.032, 2.45518077222, 38654.05484155699],
|
|
[0.039, 1.80165134294, 33326.57873317420],
|
|
[0.041, 4.32141055637, 26095.01668857500],
|
|
[0.032, 3.72358129034, 136100.84775702318],
|
|
[0.040, 5.69015360764, 31749.23519072640],
|
|
[0.032, 1.65828846012, 105460.99111839019],
|
|
[0.032, 1.02549984810, 155418.04029735178],
|
|
[0.030, 1.57915654792, 52168.69273614759],
|
|
[0.031, 0.69335015231, 50057.04242277000],
|
|
[0.033, 4.04678616141, 55618.38122811380],
|
|
[0.029, 3.72464718175, 51535.90899683439],
|
|
[0.029, 5.73654447860, 129380.13377768178],
|
|
[0.038, 3.74472554242, 18849.22754997420],
|
|
[0.028, 3.05059885517, 339142.74084046460],
|
|
[0.035, 0.74194291507, 52171.92494779040],
|
|
[0.028, 0.73918545262, 7880.08915333899],
|
|
[0.036, 1.26742819742, 51116.42435295920],
|
|
[0.035, 5.29298143160, 45405.09568190280],
|
|
[0.032, 5.79438282818, 18093.37469954999],
|
|
[0.026, 5.79318346346, 66941.04532641819],
|
|
[0.028, 4.27104078603, 54394.56338733519],
|
|
[0.024, 5.06304791610, 2118.76386037840],
|
|
[0.030, 1.05420470769, 52182.91983014920],
|
|
[0.025, 1.75996910240, 124778.18365871879],
|
|
[0.022, 4.43631488516, 3328.13565628019],
|
|
[0.022, 5.09106835544, 99799.65906923798],
|
|
[0.022, 1.88199362566, 78244.03966382280],
|
|
[0.021, 2.56123211200, 94138.32702008578],
|
|
[0.025, 5.46150069597, 104881.30353139139],
|
|
[0.025, 0.05236467599, 26514.50133245020],
|
|
[0.025, 3.02983070039, 77734.01845962799],
|
|
[0.020, 3.48966334599, 103396.01282468818],
|
|
[0.021, 3.97495995227, 53764.87917843220],
|
|
[0.018, 1.07895331282, 28421.09953444620],
|
|
[0.019, 1.98308917333, 23754.70674870219],
|
|
[0.018, 4.58631365960, 76044.95232053580],
|
|
[0.019, 2.90042907299, 6283.07584999140],
|
|
[0.019, 3.18954246101, 51109.31080595839],
|
|
[0.018, 2.11231697626, 73711.75592766379],
|
|
[0.017, 0.06118735536, 88476.99497093359],
|
|
[0.018, 6.26984143774, 15874.61759536320],
|
|
[0.018, 2.58820345674, 51123.53789995999],
|
|
[0.017, 5.82864656129, 32370.97899156560],
|
|
[0.018, 5.22519288335, 78267.59076008058],
|
|
[0.015, 5.43053381026, 64741.95798313119],
|
|
[0.015, 2.53107093357, 155468.03691925600],
|
|
[0.020, 4.40959528115, 1223.81784077861],
|
|
[0.015, 4.05461375332, 51962.50718771040],
|
|
[0.015, 3.52769852262, 79219.30916633119],
|
|
[0.015, 0.45988103836, 162188.75089859738],
|
|
[0.015, 0.87152359342, 78283.37918562238],
|
|
[0.014, 1.87990160627, 125887.56221081219],
|
|
[0.016, 2.82759858554, 105410.99449648599],
|
|
[0.013, 4.67219046898, 78256.59587772179],
|
|
[0.016, 0.04901690153, 78477.00852016058],
|
|
[0.014, 4.21146699511, 52290.24557183361],
|
|
[0.014, 4.08726245298, 78270.82297172339],
|
|
[0.015, 3.80902990348, 33967.99229491319],
|
|
[0.016, 0.28761005157, 44937.13069154840],
|
|
[0.014, 5.84330605810, 103821.92160120218],
|
|
[0.015, 6.03738264520, 13655.86049117640],
|
|
[0.012, 0.81685952408, 81706.28436968799],
|
|
[0.015, 3.79894620695, 108903.56606335558],
|
|
[0.011, 3.26651828162, 52602.40447402440],
|
|
[0.011, 1.28755195884, 29416.03879785439],
|
|
[0.011, 4.03185618461, 181505.94343892598],
|
|
[0.011, 5.58448046140, 120226.23016165999],
|
|
[0.012, 0.32316787548, 91785.46086631398],
|
|
[0.013, 2.02636565149, 71492.99882347698],
|
|
[0.015, 3.56357453844, 76674.63652943878],
|
|
[0.013, 3.80590035776, 78259.82808936459],
|
|
[0.010, 0.04109363791, 77197.21394753258],
|
|
[0.010, 6.00753285175, 365230.64398203877],
|
|
[0.010, 1.74642821988, 52061.36699446317],
|
|
[0.013, 2.79229719351, 636.99627202420],
|
|
[0.011, 5.52780687723, 26727.80042788820],
|
|
[0.011, 4.04728142335, 45892.73043315699],
|
|
[0.008, 4.96985130540, 151975.46535238638],
|
|
[0.008, 3.44547998787, 23439.44831610119],
|
|
[0.011, 2.54429302352, 44181.27784112419],
|
|
[0.010, 3.50274229100, 65697.55772473979],
|
|
[0.009, 2.45809063705, 93028.94846799239],
|
|
[0.009, 4.92568932060, 104331.94280539699],
|
|
[0.008, 0.80535713418, 71980.63357473118],
|
|
[0.010, 2.20026830808, 130969.20667296558],
|
|
[0.007, 2.30885367448, 18207.81398823521],
|
|
[0.010, 5.72020107388, 77211.44104153418],
|
|
[0.007, 0.15536656581, 129483.91596626239],
|
|
[0.008, 2.31255848253, 58458.88213313979],
|
|
[0.007, 2.07713892797, 90829.86112470538],
|
|
[0.007, 3.50101836609, 117873.36400788819],
|
|
[0.007, 3.20275960823, 64607.84893354619],
|
|
[0.007, 4.73829767381, 51322.60990139639],
|
|
[0.007, 5.65553946700, 181555.94006083018],
|
|
[0.009, 2.56870006051, 129909.82474277639],
|
|
[0.008, 0.67171808844, 79852.78232000639],
|
|
[0.007, 4.06204756163, 39609.65458316560],
|
|
[0.007, 1.46575838897, 853.19638175200],
|
|
[0.007, 2.57400610109, 69159.80243060499],
|
|
[0.006, 3.86283147263, 59414.48187474840],
|
|
[0.006, 1.33545681950, 102132.85546210999],
|
|
[0.007, 2.80506785787, 39743.76363275060],
|
|
[0.006, 1.66711581835, 28206.66700195260],
|
|
[0.008, 4.73806237855, 150866.08680029298],
|
|
[0.006, 0.81325444169, 207593.84658050019],
|
|
[0.006, 0.06925555540, 58946.51688439399],
|
|
[0.006, 3.09908354288, 114564.89811250778],
|
|
[0.006, 0.88473087003, 104358.72611329758],
|
|
[0.006, 3.51715962887, 188276.65404017159],
|
|
[0.006, 4.13083556162, 54509.00267602040],
|
|
[0.006, 3.14680331401, 104564.91166173479],
|
|
[0.007, 5.89465282471, 131498.89763806018],
|
|
[0.005, 0.27174681491, 143961.26714946239],
|
|
[0.005, 5.25316838887, 3340.61242669980],
|
|
[0.007, 1.99860349328, 104355.49390165479],
|
|
[0.005, 1.47362369989, 9103.90699411760],
|
|
[0.007, 0.60725013988, 60055.89543648739],
|
|
[0.005, 3.20081630256, 13541.42120249119],
|
|
[0.006, 0.50137409605, 63498.47038145279],
|
|
[0.005, 5.07739475360, 97580.90196505119],
|
|
[0.005, 1.35632842517, 104344.49901929598],
|
|
[0.005, 2.16611734526, 103925.01437542078],
|
|
[0.005, 4.04581717475, 98068.53671630539],
|
|
[0.005, 4.90166806916, 22759.76748529401],
|
|
[0.005, 3.87246722733, 89586.37352302698],
|
|
[0.005, 3.01510200596, 103285.11708910679],
|
|
[0.006, 1.44791474080, 78050.41032928458],
|
|
[0.005, 2.47831218420, 26241.68195205900],
|
|
[0.005, 3.85799454501, 107794.18751126219],
|
|
[0.005, 0.57300969993, 134991.46920492980],
|
|
[0.005, 2.38724530268, 146314.13330323418],
|
|
[0.004, 6.11121027497, 90695.75207512038],
|
|
[0.004, 1.83181231470, 74821.13447975718],
|
|
[0.004, 5.23938469806, 130012.91751699499],
|
|
[0.005, 1.18020888905, 27311.72098235281],
|
|
[0.005, 3.00001411726, 85034.42002596818],
|
|
[0.005, 5.56662713374, 155997.72788435058],
|
|
[0.005, 2.35342507828, 145204.75475114078],
|
|
[0.004, 4.57119707855, 157636.79740153858],
|
|
[0.004, 5.78384635962, 51742.09454527159],
|
|
[0.004, 2.41778026187, 157483.01859105378],
|
|
[0.005, 2.53226316949, 103299.34418310839],
|
|
[0.004, 3.71458526250, 26555.86813192860],
|
|
[0.004, 3.83639975710, 150244.34299945380],
|
|
[0.004, 3.30201863644, 76144.94556434419],
|
|
[0.004, 0.68904721853, 124156.43985787958],
|
|
[0.004, 1.73206522989, 178063.36849396059],
|
|
[0.005, 3.20991489892, 71025.03383312259],
|
|
[0.005, 3.69408876581, 105940.68546158058],
|
|
[0.004, 2.75867944254, 391318.54712361295],
|
|
[0.005, 0.53586068200, 80482.46652890938],
|
|
[0.004, 5.07565982849, 51756.32163927320],
|
|
[0.004, 0.12462379137, 78690.30761559859],
|
|
[0.004, 5.25512859919, 157057.10981453978],
|
|
[0.004, 5.66367904256, 9384.84100807520],
|
|
[0.004, 4.70366039546, 54294.57014352679],
|
|
[0.004, 4.74767635950, 204151.27163553477],
|
|
[0.003, 3.24177385660, 155571.81910783658],
|
|
[0.003, 0.85377908455, 16066.06586147480],
|
|
[0.003, 1.58566666033, 130226.21661243298],
|
|
[0.004, 5.58218314089, 119116.85160956658],
|
|
[0.004, 0.94898112028, 78378.14871340781],
|
|
[0.004, 6.15781348253, 97112.93697469679],
|
|
[0.004, 2.31787867435, 52815.70356946240],
|
|
[0.004, 2.73401660736, 78417.48823520739],
|
|
[0.004, 5.67762508473, 183674.70392120857],
|
|
[0.004, 0.21138526735, 214364.55718174577],
|
|
[0.004, 5.24311464709, 116917.76426627958],
|
|
[0.003, 3.86634858823, 104371.28232719658],
|
|
[0.004, 5.42881221134, 233731.74634397859],
|
|
[0.003, 1.97251042531, 183145.01295611399],
|
|
[0.003, 0.60740481915, 133882.09065283637],
|
|
[0.003, 6.23399386415, 181659.72224941078],
|
|
[0.004, 6.22336284288, 140652.80125408198],
|
|
[0.003, 5.94876130841, 25035.63475838580],
|
|
[0.003, 3.83428144879, 233681.74972207437],
|
|
[0.003, 2.32902857669, 182085.63102592478],
|
|
[0.003, 2.84354681160, 123200.84011627098],
|
|
[0.003, 1.53933182823, 176953.98994186718],
|
|
[0.004, 2.45893471155, 207643.84320240439],
|
|
[0.003, 5.72001402121, 102762.53967101299],
|
|
[0.004, 1.40880562474, 80382.47328510099],
|
|
[0.003, 4.90489886883, 51749.20809227239],
|
|
[0.003, 4.76799924569, 104138.31347085879],
|
|
[0.004, 6.26291139255, 25021.40766438420],
|
|
[0.003, 0.40352872921, 132028.58860315479],
|
|
[0.003, 2.66696150741, 157586.80077963436],
|
|
[0.003, 5.23202292846, 84546.78527471398],
|
|
[0.003, 4.59428408981, 131548.89425996438],
|
|
[0.003, 2.53649995681, 50579.61984086379],
|
|
[0.003, 2.55542640702, 77829.99768684579],
|
|
[0.004, 1.67304824627, 130419.84594697120],
|
|
[0.003, 6.21862713072, 95247.70557217918],
|
|
[0.003, 5.37878648081, 44295.71712980940],
|
|
[0.003, 4.68342323732, 156507.74908854539],
|
|
[0.003, 3.36164307862, 104778.21075717278],
|
|
[0.003, 2.91632245418, 166740.70439565618],
|
|
[0.002, 0.72039482289, 7994.52844202420],
|
|
[0.002, 5.43309839263, 78903.60671103658],
|
|
[0.002, 1.12849064703, 183724.70054311279],
|
|
[0.003, 1.94668130835, 143005.66740785379],
|
|
[0.003, 0.56289392960, 104347.73123093879],
|
|
[0.002, 1.78482957305, 156531.30018480320],
|
|
[0.003, 5.03542424850, 130443.39704322898],
|
|
[0.003, 4.72735160431, 78149.27013603736],
|
|
[0.002, 5.31651763274, 208173.53416749899],
|
|
[0.003, 5.36470448658, 131395.11544947958],
|
|
[0.002, 0.06581745526, 196137.07343261078],
|
|
[0.002, 2.93678015526, 167850.08294774959],
|
|
[0.002, 5.84781134233, 65831.66677432480],
|
|
[0.002, 5.56634055777, 70269.18098269838],
|
|
[0.002, 5.42145220392, 183570.92173262799],
|
|
[0.002, 6.06636386319, 53242.30176033840],
|
|
[0.002, 4.37154457896, 128220.75860368418],
|
|
[0.002, 0.35903300236, 187167.27548807819],
|
|
[0.002, 2.78347515438, 79330.20490191258],
|
|
[0.002, 4.51952536661, 203041.89308344139],
|
|
[0.002, 3.36865001265, 170049.17029103660],
|
|
[0.002, 3.08184453618, 50593.84693486539],
|
|
[0.002, 4.32534428501, 55503.94193942859],
|
|
[0.002, 1.81636961816, 110634.68841628819],
|
|
[0.002, 5.58793955981, 103917.90082841998],
|
|
[0.002, 5.79409172557, 417406.45026518719],
|
|
[0.002, 0.85923934181, 235900.50682626115],
|
|
[0.002, 4.60084058009, 26941.09952332620],
|
|
[0.002, 5.14995676460, 182188.72380014337],
|
|
[0.002, 3.91756419842, 130446.62925487179],
|
|
[0.002, 2.88997273266, 27154.39861876420],
|
|
[0.003, 5.85721944439, 52329.58509363319],
|
|
[0.002, 6.10145799164, 77623.81213840858],
|
|
[0.002, 1.98246165585, 77844.22478084739],
|
|
[0.002, 0.11071759480, 130866.11389874699],
|
|
[0.002, 0.64849171165, 52643.77127350280],
|
|
[0.002, 3.98410950717, 104466.05185498200],
|
|
[0.002, 1.83715639115, 123668.80510662538],
|
|
[0.002, 5.61305711026, 76667.52298243798],
|
|
[0.002, 5.83992902277, 19804.82729158280],
|
|
[0.002, 0.54331921743, 130459.18546877075],
|
|
[0.002, 0.00997429525, 141762.17980617538],
|
|
[0.002, 5.59377744943, 35191.81013569180],
|
|
[0.002, 0.39746661127, 26521.61487945100],
|
|
[0.002, 6.16192704020, 130652.81480330898],
|
|
[0.002, 0.85416063806, 25934.12433108940],
|
|
[0.002, 2.18339110714, 156100.82065856917],
|
|
[0.002, 4.39281517355, 130432.40216087017],
|
|
[0.002, 5.50117730009, 172402.03644480839],
|
|
[0.001, 3.49234867738, 130435.63437251298],
|
|
[0.001, 4.80995492080, 77837.11123384659],
|
|
[0.002, 6.26921260007, 87367.61641884019],
|
|
[0.002, 2.79561490409, 115674.27666460119],
|
|
[0.002, 4.92122664455, 24864.08530079559],
|
|
[0.001, 2.41576832330, 26037.90651966999],
|
|
[0.001, 6.04596837149, 129373.02023068098],
|
|
[0.002, 0.94020572434, 80596.90581759460],
|
|
[0.002, 0.30073776192, 51639.00177105299],
|
|
[0.001, 0.18846827752, 34082.43158359840],
|
|
[0.001, 3.62844435085, 161079.37234650398],
|
|
[0.002, 5.13133615893, 49842.60989027639],
|
|
[0.001, 0.30832555285, 53228.07466633679],
|
|
[0.001, 5.56519625382, 129387.24732468258],
|
|
[0.001, 5.63110777945, 46848.33017476560],
|
|
[0.001, 1.38420566741, 26011.63707029860],
|
|
[0.001, 5.86450783334, 26724.89941359840],
|
|
[0.001, 6.14517818644, 76681.75007643958],
|
|
[0.001, 3.19299019423, 25654.19140369739],
|
|
[0.001, 0.34495954566, 128850.44281258718],
|
|
[0.001, 3.60230008239, 20760.42703319140],
|
|
[0.001, 5.80015495751, 19406.67828817460],
|
|
[0.001, 4.42116052212, 100909.03762133139],
|
|
[0.001, 0.48535289275, 52698.38370124219],
|
|
[0.001, 6.22940855233, 111590.28815789679],
|
|
[0.001, 0.16055219324, 105307.21230790539],
|
|
[0.001, 2.19795772042, 29428.51556827400],
|
|
[0.001, 5.09783503526, 102232.84870591838],
|
|
[0.001, 0.61014627166, 25668.41849769900],
|
|
[0.001, 5.62459774786, 25565.32572348040],
|
|
[0.001, 0.90991571866, 103711.71527998279],
|
|
[0.001, 0.28037611495, 25450.90686955000],
|
|
[0.001, 0.54824728173, 26137.89976347840],
|
|
[0.001, 4.25324476801, 209812.60368468694],
|
|
[0.001, 0.08089899001, 51543.02254383520],
|
|
[0.001, 0.33953378597, 51528.79544983359],
|
|
[0.001, 4.15667461533, 25551.09862947879],
|
|
[0.001, 1.59597814656, 72936.23331633979],
|
|
[0.001, 5.59362222240, 25619.93815121980],
|
|
[0.001, 3.26520760555, 240452.46032331997],
|
|
[0.001, 5.52286605071, 52125.80966124419],
|
|
],
|
|
# L3
|
|
[
|
|
[188.077, 0.03466830117, 52175.80628314840],
|
|
[142.152, 3.12505452600, 26087.90314157420],
|
|
[96.877, 3.00378171915, 78263.70942472259],
|
|
[43.669, 6.01867965826, 104351.61256629678],
|
|
[35.395, 0.00000000000, 0.00000000000],
|
|
[18.045, 2.77538373991, 130439.51570787099],
|
|
[6.971, 5.81808665742, 156527.41884944518],
|
|
[2.556, 2.57014364454, 182615.32199101939],
|
|
[0.900, 5.59308888939, 208703.22513259359],
|
|
[0.307, 2.32189002493, 234791.12827416777],
|
|
[0.117, 3.16567324160, 24978.52458948080],
|
|
[0.102, 5.32134064237, 260879.03141574195],
|
|
[0.077, 6.24155593431, 51066.42773105500],
|
|
[0.057, 6.11222330831, 27197.28169366760],
|
|
[0.034, 2.03244612467, 286966.93455731618],
|
|
[0.038, 2.99912912226, 77154.33087262919],
|
|
[0.031, 3.11483471984, 53285.18483524180],
|
|
[0.017, 6.02950226714, 103242.23401420339],
|
|
[0.011, 5.00109293882, 313054.83769889036],
|
|
[0.009, 0.59396483404, 20426.57109242200],
|
|
[0.009, 3.65190477342, 46514.47423399620],
|
|
[0.009, 6.28305510644, 79373.08797681599],
|
|
[0.008, 2.74138109305, 129330.13715577759],
|
|
[0.007, 5.79018632644, 25132.30339996560],
|
|
[0.005, 0.33554769835, 72602.37737557039],
|
|
[0.005, 1.31115810350, 26617.59410666880],
|
|
[0.004, 2.46414914425, 51220.20654153979],
|
|
[0.004, 1.74528964721, 339142.74084046460],
|
|
[0.004, 4.31141963105, 52705.49724824299],
|
|
[0.004, 3.07093349506, 27043.50288318280],
|
|
[0.004, 5.68013701250, 30639.85663863300],
|
|
[0.003, 5.80662640937, 155418.04029735178],
|
|
[0.003, 4.64519088060, 27147.28507176339],
|
|
[0.004, 3.02893592955, 23869.14603738740],
|
|
[0.003, 4.35199345075, 79323.09135491178],
|
|
[0.003, 1.29040630287, 53235.18821333759],
|
|
[0.003, 4.34017676059, 14765.23904326980],
|
|
[0.003, 2.86652251194, 105460.99111839019],
|
|
[0.003, 6.23875368963, 28306.66024576099],
|
|
[0.003, 3.37815322354, 98690.28051714458],
|
|
[0.002, 5.37466119262, 110012.94461544899],
|
|
[0.002, 0.16040583556, 50586.73338786459],
|
|
[0.002, 0.35038889636, 19317.19254032860],
|
|
[0.002, 6.23271649650, 49957.04917896160],
|
|
[0.002, 2.52219274566, 181505.94343892598],
|
|
[0.002, 5.05358903232, 162188.75089859738],
|
|
[0.002, 0.15071040297, 124778.18365871879],
|
|
[0.002, 2.29024350361, 56727.75978020720],
|
|
[0.002, 0.42411179784, 71492.99882347698],
|
|
[0.002, 6.11262694468, 57837.13833230060],
|
|
[0.002, 2.17198531948, 108903.56606335558],
|
|
[0.002, 2.92723030315, 54394.56338733519],
|
|
[0.002, 2.40411188609, 83925.04147387479],
|
|
[0.002, 3.43613336205, 78267.59076008058],
|
|
[0.002, 4.77873510695, 365230.64398203877],
|
|
[0.002, 3.54043808451, 64741.95798313119],
|
|
[0.002, 1.60502923885, 77734.01845962799],
|
|
[0.002, 3.11800510932, 150866.08680029298],
|
|
[0.002, 1.02098746090, 78793.40038981718],
|
|
[0.002, 4.39439085682, 88476.99497093359],
|
|
[0.002, 1.49912329404, 43071.89928903080],
|
|
[0.002, 1.96277160647, 25558.21217647960],
|
|
[0.002, 4.76774165204, 77204.32749453338],
|
|
[0.002, 0.61066658116, 155468.03691925600],
|
|
[0.002, 5.26875308161, 77308.10968311399],
|
|
[0.002, 0.52736095020, 94138.32702008578],
|
|
[0.002, 2.05793854229, 103396.01282468818],
|
|
[0.002, 4.12698349577, 66941.04532641819],
|
|
[0.002, 5.43336870762, 78283.37918562238],
|
|
[0.002, 1.97520131105, 136100.84775702318],
|
|
[0.002, 5.54343111585, 81706.28436968799],
|
|
[0.002, 1.25444219651, 40853.14218484400],
|
|
[0.002, 1.07684180123, 103292.23063610759],
|
|
[0.001, 3.23979322492, 52156.13652224860],
|
|
[0.002, 5.33834891475, 52182.91983014920],
|
|
[0.002, 3.36867866204, 99799.65906923798],
|
|
[0.002, 5.40697906670, 82815.66292178139],
|
|
[0.001, 5.80853057947, 4551.95349705880],
|
|
[0.001, 4.95909385120, 129483.91596626239],
|
|
[0.001, 3.17481245588, 76674.63652943878],
|
|
[0.001, 1.53803169600, 52389.10537858640],
|
|
[0.001, 2.48052961456, 53764.87917843220],
|
|
[0.001, 1.20843095195, 105410.99449648599],
|
|
[0.002, 3.64576833526, 45405.09568190280],
|
|
[0.002, 4.00710217385, 104881.30353139139],
|
|
[0.001, 3.09532094520, 76044.95232053580],
|
|
[0.001, 5.52119023864, 58946.51688439399],
|
|
[0.002, 5.53036712466, 131548.89425996438],
|
|
[0.001, 0.38352295948, 52179.68761850640],
|
|
[0.001, 0.08902944955, 51116.42435295920],
|
|
[0.001, 1.47514166670, 62389.09182935939],
|
|
[0.001, 4.20864838814, 131498.89763806018],
|
|
[0.001, 2.88161012078, 79219.30916633119],
|
|
[0.001, 5.03155341199, 51646.11531805379],
|
|
[0.001, 0.05873279909, 53131.40602475700],
|
|
[0.001, 0.60647620600, 38654.05484155699],
|
|
[0.001, 1.58007357234, 391318.54712361295],
|
|
[0.001, 0.68687557696, 130969.20667296558],
|
|
[0.001, 3.90367213586, 129380.13377768178],
|
|
[0.001, 2.11138180302, 32858.61374281979],
|
|
[0.001, 0.18542211423, 78244.03966382280],
|
|
[0.001, 1.24063083423, 9103.90699411760],
|
|
[0.001, 1.78547815249, 188276.65404017159],
|
|
[0.001, 0.94125502564, 93028.94846799239],
|
|
[0.001, 2.41309932759, 55618.38122811380],
|
|
[0.001, 2.29683748973, 52195.47604404819],
|
|
[0.001, 3.39284109553, 25028.52121138500],
|
|
[0.001, 4.29717383023, 26301.20223701220],
|
|
[0.001, 6.10639166059, 102132.85546210999],
|
|
[0.001, 4.58189329524, 37410.56723987860],
|
|
[0.001, 6.16145880062, 125887.56221081219],
|
|
[0.001, 5.22010441376, 52171.92494779040],
|
|
[0.001, 5.95645110567, 80482.46652890938],
|
|
[0.001, 4.81981872221, 26107.57290247399],
|
|
[0.001, 4.27546069271, 36301.18868778519],
|
|
[0.001, 2.43374991272, 51535.90899683439],
|
|
[0.001, 4.03088051207, 1109.37855209340],
|
|
[0.001, 5.60495524983, 207593.84658050019],
|
|
[0.001, 4.89918476796, 35191.81013569180],
|
|
[0.001, 6.07747011982, 27676.97603685800],
|
|
[0.001, 5.48361013686, 29530.47808653960],
|
|
[0.001, 0.15288602386, 25448.00585526019],
|
|
[0.001, 2.18342825402, 63498.47038145279],
|
|
[0.001, 3.67054321453, 21535.94964451540],
|
|
[0.001, 1.49815422727, 26084.02180621620],
|
|
[0.001, 1.75551273491, 26095.01668857500],
|
|
[0.001, 2.60061927559, 12566.15169998280],
|
|
[0.001, 2.69537843932, 52290.24557183361],
|
|
[0.001, 4.87760109673, 25874.60404613620],
|
|
[0.001, 2.82170820105, 26091.78447693220],
|
|
[0.001, 0.20736391933, 52061.36699446317],
|
|
[0.001, 3.82330817663, 68050.42387851159],
|
|
[0.001, 4.42501613287, 22645.32819660879],
|
|
[0.001, 6.01128227925, 52168.69273614759],
|
|
[0.001, 0.28595674172, 11322.66409830440],
|
|
[0.001, 5.86280830053, 26202.34243025941],
|
|
[0.001, 3.42109354799, 25973.46385288896],
|
|
[0.001, 0.30050065300, 41962.52073693740],
|
|
[0.001, 2.73414310032, 25035.63475838580],
|
|
[0.001, 1.72346523407, 51962.50718771040],
|
|
[0.001, 4.77297529316, 78477.00852016058],
|
|
[0.001, 5.84491832575, 50057.04242277000],
|
|
[0.001, 3.22072290870, 25021.40766438420],
|
|
[0.001, 4.74388045372, 26514.50133245020],
|
|
[0.001, 4.31760630574, 69159.80243060499],
|
|
[0.001, 0.65529515413, 426.59819087600],
|
|
[0.000, 1.96307435492, 1059.38193018920],
|
|
[0.001, 5.58694327783, 79852.78232000639],
|
|
[0.000, 3.84680432548, 26080.78959457339],
|
|
[0.001, 6.07111696987, 102762.53967101299],
|
|
[0.000, 0.59142287644, 73711.75592766379],
|
|
[0.001, 5.84438975852, 105307.21230790539],
|
|
[0.001, 2.82906439989, 24498.83024629040],
|
|
],
|
|
# L4
|
|
[
|
|
[114.078, 3.14159265359, 0.00000000000],
|
|
[3.247, 2.02848007619, 26087.90314157420],
|
|
[1.914, 1.41731803758, 78263.70942472259],
|
|
[1.727, 4.50137643801, 52175.80628314840],
|
|
[1.237, 4.49970181057, 104351.61256629678],
|
|
[0.645, 1.26591776986, 130439.51570787099],
|
|
[0.298, 4.30600984981, 156527.41884944518],
|
|
[0.128, 1.05702505039, 182615.32199101939],
|
|
[0.051, 4.08566191934, 208703.22513259359],
|
|
[0.020, 0.82130394681, 234791.12827416777],
|
|
[0.008, 3.82199615635, 260879.03141574195],
|
|
[0.003, 0.54824060574, 286966.93455731618],
|
|
[0.002, 3.52134138964, 313054.83769889036],
|
|
[0.001, 1.67435118540, 24978.52458948080],
|
|
[0.002, 4.60718203612, 51066.42773105500],
|
|
[0.001, 1.11396201203, 129330.13715577759],
|
|
[0.001, 4.35040700322, 103242.23401420339],
|
|
[0.001, 4.17434865844, 79373.08797681599],
|
|
[0.001, 1.20388630609, 77154.33087262919],
|
|
[0.001, 4.84677084740, 27197.28169366760],
|
|
[0.001, 0.29913093643, 339142.74084046460],
|
|
[0.000, 4.11587125815, 155418.04029735178],
|
|
[0.000, 0.73293870976, 46514.47423399620],
|
|
[0.000, 3.68822427283, 21535.94964451540],
|
|
[0.000, 3.83816920045, 20426.57109242200],
|
|
[0.000, 4.73086078962, 1059.38193018920],
|
|
[0.000, 0.40939402954, 24498.83024629040],
|
|
[0.000, 3.30678220146, 365230.64398203877],
|
|
],
|
|
# L5
|
|
[
|
|
[0.877, 3.14159265359, 0.00000000000],
|
|
[0.059, 3.37513289692, 52175.80628314840],
|
|
[0.042, 0.02433099382, 78263.70942472259],
|
|
[0.043, 4.65071406046, 26087.90314157420],
|
|
[0.031, 2.98112204944, 104351.61256629678],
|
|
[0.019, 6.00992467582, 130439.51570787099],
|
|
[0.010, 2.75699791920, 156527.41884944518],
|
|
[0.005, 5.79082359724, 182615.32199101939],
|
|
[0.002, 2.51435448230, 208703.22513259359],
|
|
[0.001, 5.49411470932, 234791.12827416777],
|
|
[0.001, 2.23688504668, 260879.03141574195],
|
|
[0.001, 5.18718589133, 286966.93455731618],
|
|
[0.000, 2.11315496491, 313054.83769889036],
|
|
],
|
|
]
|
|
"""This table contains Mercury's periodic terms (all of them) from the
|
|
planetary theory VSOP87 for the heliocentric longitude at the equinox of date
|
|
(taken from the 'D' solution). In Meeus' book a shortened version can be found
|
|
in pages 414-415."""
|
|
|
|
|
|
VSOP87_B = [
|
|
# B0
|
|
[
|
|
[11737528.962, 1.98357498767, 26087.90314157420],
|
|
[2388076.996, 5.03738959685, 52175.80628314840],
|
|
[1222839.532, 3.14159265359, 0.00000000000],
|
|
[543251.810, 1.79644363963, 78263.70942472259],
|
|
[129778.770, 4.83232503961, 104351.61256629678],
|
|
[31866.927, 1.58088495667, 130439.51570787099],
|
|
[7963.301, 4.60972126348, 156527.41884944518],
|
|
[2014.189, 1.35324164694, 182615.32199101939],
|
|
[513.953, 4.37835409309, 208703.22513259359],
|
|
[207.674, 4.91772564073, 27197.28169366760],
|
|
[208.584, 2.02020294153, 24978.52458948080],
|
|
[132.013, 1.11908492283, 234791.12827416777],
|
|
[100.454, 5.65684734206, 20426.57109242200],
|
|
[121.395, 1.81271752059, 53285.18483524180],
|
|
[91.566, 2.28163128692, 25028.52121138500],
|
|
[99.214, 0.09391887097, 51116.42435295920],
|
|
[94.574, 1.24184909234, 31749.23519072640],
|
|
[78.785, 4.40725880000, 57837.13833230060],
|
|
[77.747, 0.52557061749, 1059.38193018920],
|
|
[84.264, 5.08510388314, 51066.42773105500],
|
|
[49.948, 3.49752993688, 5661.33204915220],
|
|
[46.454, 3.23739270829, 77204.32749453338],
|
|
[44.767, 4.87849816734, 79373.08797681599],
|
|
[40.766, 2.46558332165, 46514.47423399620],
|
|
[37.378, 4.45768797944, 4551.95349705880],
|
|
[34.082, 4.14209210575, 260879.03141574195],
|
|
[35.911, 1.09057317869, 1109.37855209340],
|
|
[31.953, 1.18516389747, 83925.04147387479],
|
|
[30.954, 3.50328027210, 21535.94964451540],
|
|
[31.808, 2.41474588439, 47623.85278608960],
|
|
[28.691, 1.84828614269, 77154.33087262919],
|
|
[25.765, 2.77593370583, 27043.50288318280],
|
|
[25.199, 3.59062266460, 27147.28507176339],
|
|
[20.244, 3.06833797229, 51646.11531805379],
|
|
[18.591, 5.58427274440, 73711.75592766379],
|
|
[16.971, 0.02791276551, 103292.23063610759],
|
|
[20.099, 4.06593040301, 25132.30339996560],
|
|
[17.002, 6.13739392193, 41962.52073693740],
|
|
[14.984, 1.64717994813, 105460.99111839019],
|
|
[14.186, 0.33074185469, 10213.28554621100],
|
|
[15.577, 6.07693643204, 53131.40602475700],
|
|
[15.795, 3.79629547258, 529.69096509460],
|
|
[14.011, 5.52786452723, 72602.37737557039],
|
|
[12.309, 3.16626298867, 14765.23904326980],
|
|
[11.261, 0.11326534696, 13521.75144159140],
|
|
[12.448, 4.05109331029, 39609.65458316560],
|
|
[13.044, 3.48016433624, 37410.56723987860],
|
|
[11.042, 4.23192662377, 110012.94461544899],
|
|
[11.152, 0.55658461820, 63498.47038145279],
|
|
[10.717, 1.53686240986, 25661.30495069820],
|
|
[10.213, 2.87881017166, 12566.15169998280],
|
|
[9.924, 0.94824584866, 65697.55772473979],
|
|
[11.047, 5.79741510309, 51749.20809227239],
|
|
[10.460, 5.82962163777, 50586.73338786459],
|
|
[9.774, 1.66271762650, 24498.83024629040],
|
|
[9.412, 1.82364886045, 15874.61759536320],
|
|
[12.866, 4.81650804018, 30639.85663863300],
|
|
[9.123, 4.88604394110, 103242.23401420339],
|
|
[9.011, 1.04262074744, 426.59819087600],
|
|
[8.735, 3.04132552652, 68050.42387851159],
|
|
[8.491, 1.05130498445, 1589.07289528380],
|
|
[8.835, 0.88128343813, 286966.93455731618],
|
|
[8.823, 5.81343662067, 11322.66409830440],
|
|
[8.196, 0.84015129448, 51220.20654153979],
|
|
[7.640, 3.43584035231, 36301.18868778519],
|
|
[9.175, 6.16059719071, 77734.01845962799],
|
|
[8.897, 0.39691733779, 53235.18821333759],
|
|
[7.253, 2.37179970828, 99799.65906923798],
|
|
[7.104, 5.73557153523, 26617.59410666880],
|
|
[8.322, 5.27157128800, 25558.21217647960],
|
|
[6.578, 2.66741925057, 52705.49724824299],
|
|
[5.825, 6.25072627414, 33326.57873317420],
|
|
[5.625, 3.08030000230, 129380.13377768178],
|
|
[5.295, 1.35863387771, 45892.73043315699],
|
|
[5.116, 2.67576280851, 76674.63652943878],
|
|
[5.035, 2.66614676257, 77837.11123384659],
|
|
[4.762, 4.68983196238, 131548.89425996438],
|
|
[5.714, 2.87339047644, 79219.30916633119],
|
|
[5.601, 5.37190885150, 955.59974160860],
|
|
[4.965, 3.47619946892, 59414.48187474840],
|
|
[5.468, 1.43781223143, 56727.75978020720],
|
|
[4.080, 4.01667499000, 91785.46086631398],
|
|
[3.971, 5.44452771841, 6283.07584999140],
|
|
[4.063, 5.64291749144, 26068.23338067440],
|
|
[3.877, 3.60887633874, 89586.37352302698],
|
|
[4.047, 5.95235957644, 38654.05484155699],
|
|
[4.064, 1.46283079734, 26107.57290247399],
|
|
[3.681, 0.47365215122, 62389.09182935939],
|
|
[4.247, 6.23163402945, 40853.14218484400],
|
|
[3.694, 2.75543227024, 7238.67559160000],
|
|
[3.348, 5.91868911857, 43071.89928903080],
|
|
[4.475, 2.28937952702, 98690.28051714458],
|
|
[3.115, 0.74943919509, 32858.61374281979],
|
|
[3.100, 3.35203735852, 19804.82729158280],
|
|
[3.215, 6.11374633777, 94138.32702008578],
|
|
[3.558, 0.98820289555, 136100.84775702318],
|
|
[2.908, 4.06284172838, 26514.50133245020],
|
|
[2.799, 1.63602212056, 129330.13715577759],
|
|
[2.800, 3.88358619611, 77308.10968311399],
|
|
[2.680, 4.48235268618, 71980.63357473118],
|
|
[2.767, 4.12700796923, 27676.97603685800],
|
|
[3.285, 0.39398081520, 18849.22754997420],
|
|
[3.290, 2.93487892542, 103821.92160120218],
|
|
[3.048, 0.67698362024, 9103.90699411760],
|
|
[2.484, 5.42332204960, 125887.56221081219],
|
|
[2.663, 1.70280488847, 16983.99614745660],
|
|
[2.791, 2.76839978418, 26091.78447693220],
|
|
[2.747, 5.75135788288, 19317.19254032860],
|
|
[2.676, 5.73635682216, 78793.40038981718],
|
|
[2.710, 4.31274902720, 58946.51688439399],
|
|
[2.877, 3.45410696457, 79323.09135491178],
|
|
[2.787, 4.34025817469, 26084.02180621620],
|
|
[2.097, 2.09090732812, 23869.14603738740],
|
|
[2.297, 3.90321251530, 313054.83769889036],
|
|
[2.535, 3.05170623483, 69159.80243060499],
|
|
[2.211, 4.65120210900, 28306.66024576099],
|
|
[1.912, 5.78403850812, 102762.53967101299],
|
|
[2.265, 3.34478937379, 22645.32819660879],
|
|
[1.817, 5.74251490625, 103925.01437542078],
|
|
[1.961, 5.94577427093, 105307.21230790539],
|
|
[1.922, 4.43763124338, 82815.66292178139],
|
|
[1.667, 4.51887419928, 52195.47604404819],
|
|
[1.771, 6.12278757535, 155468.03691925600],
|
|
[1.515, 1.72458115830, 54394.56338733519],
|
|
[1.585, 0.23900687506, 85502.38501632259],
|
|
[1.477, 4.73359545019, 29530.47808653960],
|
|
[1.469, 1.44574704924, 157636.79740153858],
|
|
[1.653, 2.41345886386, 52156.13652224860],
|
|
[1.377, 0.59981573116, 26080.78959457339],
|
|
[1.430, 0.78416943990, 117873.36400788819],
|
|
[1.680, 3.42684715134, 6770.71060124560],
|
|
[1.604, 4.52048871587, 3442.57494496540],
|
|
[1.345, 0.31857167988, 51535.90899683439],
|
|
[1.357, 3.17349203273, 25874.60404613620],
|
|
[1.250, 2.33380858079, 25448.00585526019],
|
|
[1.196, 2.09277609512, 48733.23133818299],
|
|
[1.194, 0.36376300747, 115674.27666460119],
|
|
[1.443, 2.73186009497, 64741.95798313119],
|
|
[1.375, 5.32672767568, 124778.18365871879],
|
|
[1.325, 3.57805811914, 88476.99497093359],
|
|
[1.115, 0.26092087309, 639.89728631400],
|
|
[1.094, 2.22755234371, 32370.97899156560],
|
|
[1.433, 3.03965981318, 66941.04532641819],
|
|
[1.370, 3.45924813827, 44937.13069154840],
|
|
[1.003, 0.28769164324, 25934.12433108940],
|
|
[1.136, 1.11057140999, 52171.92494779040],
|
|
[1.000, 0.52457514920, 26241.68195205900],
|
|
[1.033, 2.55563840213, 45405.09568190280],
|
|
[1.096, 5.01257889902, 7.11354700080],
|
|
[1.146, 5.40631829059, 213.29909543800],
|
|
[1.080, 5.97835772937, 129909.82474277639],
|
|
[0.988, 1.25815251981, 98068.53671630539],
|
|
[1.062, 2.88132742088, 120226.23016165999],
|
|
[0.892, 0.63710475446, 103396.01282468818],
|
|
[1.041, 0.89365572198, 52602.40447402440],
|
|
[0.978, 0.93067667928, 53764.87917843220],
|
|
[1.136, 5.82023159264, 52179.68761850640],
|
|
[0.838, 4.66556603681, 155418.04029735178],
|
|
[0.910, 5.53568417425, 58458.88213313979],
|
|
[0.834, 5.16159172473, 49957.04917896160],
|
|
[1.100, 4.02157761190, 162188.75089859738],
|
|
[0.805, 1.03425281191, 23969.13928119580],
|
|
[0.835, 5.28205659749, 50057.04242277000],
|
|
[0.891, 0.21542628779, 105410.99449648599],
|
|
[0.743, 0.86945390288, 52389.10537858640],
|
|
[0.783, 3.32304812554, 26301.20223701220],
|
|
[0.711, 1.57780048955, 2118.76386037840],
|
|
[0.801, 2.18220012579, 151975.46535238638],
|
|
[0.915, 1.71247948367, 51962.50718771040],
|
|
[0.832, 5.53506450006, 74821.13447975718],
|
|
[0.750, 2.16183196338, 52168.69273614759],
|
|
[0.923, 2.50170936928, 104881.30353139139],
|
|
[0.727, 6.05394635764, 95247.70557217918],
|
|
[0.640, 2.71738158564, 131395.11544947958],
|
|
[0.628, 1.43868691098, 55618.38122811380],
|
|
[0.622, 3.46102298068, 77623.81213840858],
|
|
[0.825, 1.00561540075, 85034.42002596818],
|
|
[0.611, 0.99677911598, 2218.75710418680],
|
|
[0.605, 4.68164610499, 52182.91983014920],
|
|
[0.646, 2.57803910757, 128850.44281258718],
|
|
[0.621, 1.16576338077, 108903.56606335558],
|
|
[0.651, 1.60040223342, 26095.01668857500],
|
|
[0.599, 2.51123620954, 130012.91751699499],
|
|
[0.570, 1.27714994259, 78283.37918562238],
|
|
[0.616, 2.88990323867, 52026.24308601380],
|
|
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[0.007, 0.09315209734, 220025.88923089797],
|
|
[0.008, 5.56250511075, 52509.66222391780],
|
|
[0.006, 2.57622376266, 224577.84272795677],
|
|
[0.007, 2.65171386195, 220.41264243880],
|
|
[0.006, 2.00091220299, 102018.41617342478],
|
|
[0.007, 0.86158158633, 50444.68393021580],
|
|
[0.007, 1.61990482140, 103189.13786188899],
|
|
[0.006, 2.68512587119, 77520.71936418998],
|
|
[0.006, 4.82671721903, 154308.66174525840],
|
|
[0.006, 2.40727316051, 78800.51393681798],
|
|
[0.006, 5.66286619587, 234261.43730907317],
|
|
[0.007, 1.38238075345, 106470.37642667518],
|
|
[0.007, 4.62193558950, 81591.84508100279],
|
|
[0.007, 0.26927581545, 127098.90328117118],
|
|
[0.006, 0.92172283144, 57503.28239153120],
|
|
[0.006, 5.39808870469, 130020.03106399579],
|
|
[0.006, 2.52761413373, 52817.21984488739],
|
|
[0.006, 0.06817978613, 53757.76563143139],
|
|
[0.007, 3.13547312140, 155460.92337225520],
|
|
[0.005, 2.17501494391, 209232.91609768817],
|
|
[0.005, 2.16759656006, 104241.40624507738],
|
|
[0.006, 2.68409858369, 130005.80396999417],
|
|
[0.005, 1.58914721681, 50167.24874398939],
|
|
[0.005, 1.01687539089, 55638.05098901359],
|
|
[0.007, 1.31888655444, 149846.19399604559],
|
|
[0.005, 2.48117306579, 9384.84100807520],
|
|
[0.005, 3.70948655428, 266540.36346489412],
|
|
[0.007, 5.71513815276, 70383.62027138360],
|
|
[0.006, 4.55015130253, 51955.39364070959],
|
|
[0.005, 3.51602263966, 102975.83876645098],
|
|
[0.005, 3.69945557546, 39450.35284837340],
|
|
[0.005, 3.98232048303, 53771.99272543299],
|
|
[0.006, 1.01394190869, 77940.20400806518],
|
|
[0.005, 2.50588363651, 102872.74599223239],
|
|
[0.007, 3.01244944080, 50264.60679993120],
|
|
[0.006, 0.45316437598, 50064.15596977079],
|
|
[0.007, 6.03933985106, 1485.98012106520],
|
|
[0.005, 1.35734487293, 53814.87580033639],
|
|
[0.005, 4.43939776623, 51534.39272140940],
|
|
[0.005, 2.29075654159, 61560.64729122359],
|
|
[0.005, 0.07896316759, 78057.52387628538],
|
|
[0.005, 0.95484155225, 130907.48069822539],
|
|
[0.005, 1.56485117164, 53399.62412392700],
|
|
[0.005, 4.55586232099, 52137.67324751059],
|
|
[0.006, 4.34778590755, 156534.53239644598],
|
|
[0.005, 3.72691818970, 128747.35003836859],
|
|
[0.004, 0.56386565513, 189386.03259226496],
|
|
[0.004, 2.67910077904, 107692.22499299659],
|
|
[0.006, 6.10947724529, 104248.51979207818],
|
|
[0.004, 3.99859010561, 104401.60918820098],
|
|
[0.004, 0.51280078907, 54344.56676543099],
|
|
[0.005, 4.19917665740, 129586.31932611899],
|
|
[0.004, 5.91763059229, 52041.69723356339],
|
|
[0.005, 3.18633834950, 181975.42470470539],
|
|
[0.005, 0.99354989216, 1795.25844372100],
|
|
[0.004, 6.20030341798, 209762.60706278277],
|
|
[0.004, 4.57601261459, 184834.07909520617],
|
|
[0.006, 4.81632935419, 77741.13200662879],
|
|
[0.004, 2.32553366031, 53265.51507434200],
|
|
[0.004, 4.83867556795, 52755.49387014719],
|
|
[0.004, 0.47379105299, 105403.88094948517],
|
|
[0.004, 2.62000942355, 50049.92887576919],
|
|
[0.005, 1.01847704961, 52309.91533273340],
|
|
[0.004, 5.12416312887, 52027.72755872209],
|
|
[0.004, 0.26524339921, 50007.04580086580],
|
|
[0.005, 0.30725353996, 207747.62539098499],
|
|
[0.004, 4.93794243881, 63786.35824152260],
|
|
[0.004, 4.51168915835, 77956.15180375299],
|
|
[0.005, 1.16733741695, 27566.76971563859],
|
|
[0.004, 3.77703754152, 104501.17576343138],
|
|
[0.004, 5.44859511930, 129971.55071751658],
|
|
[0.005, 5.22593130125, 51329.72344839720],
|
|
[0.004, 1.64237114391, 130446.14426677099],
|
|
[0.004, 1.28513103275, 112545.88789950538],
|
|
[0.004, 3.50115780256, 76152.05911134499],
|
|
[0.004, 4.79032272131, 130432.88714897096],
|
|
[0.004, 5.62786746084, 43981.53094993980],
|
|
[0.004, 4.12687975050, 52024.75861330549],
|
|
[0.004, 5.13202982684, 735.87651353180],
|
|
[0.004, 4.64327471216, 76255.15188556358],
|
|
[0.004, 1.34781477964, 106684.80895916879],
|
|
[0.004, 2.34997151211, 177287.84588263658],
|
|
],
|
|
# B1
|
|
[
|
|
[429151.362, 3.50169780393, 26087.90314157420],
|
|
[146233.668, 3.14159265359, 0.00000000000],
|
|
[22675.295, 0.01515366880, 52175.80628314840],
|
|
[10894.981, 0.48540174006, 78263.70942472259],
|
|
[6353.462, 3.42943919982, 104351.61256629678],
|
|
[2495.743, 0.16051210665, 130439.51570787099],
|
|
[859.585, 3.18452433647, 156527.41884944518],
|
|
[277.503, 6.21020774184, 182615.32199101939],
|
|
[86.233, 2.95244391822, 208703.22513259359],
|
|
[26.133, 5.97708962692, 234791.12827416777],
|
|
[27.696, 0.29068938889, 27197.28169366760],
|
|
[12.831, 3.37744320558, 53285.18483524180],
|
|
[12.720, 0.53792661684, 24978.52458948080],
|
|
[7.781, 2.71768609268, 260879.03141574195],
|
|
[7.527, 3.58305121268, 51066.42773105500],
|
|
[6.183, 2.92383205004, 31749.23519072640],
|
|
[5.453, 1.97318763801, 51116.42435295920],
|
|
[3.394, 0.34761695275, 77154.33087262919],
|
|
[3.481, 0.10739761667, 79373.08797681599],
|
|
[2.932, 5.95430013169, 57837.13833230060],
|
|
[2.742, 0.98758439378, 25028.52121138500],
|
|
[2.126, 4.16352818018, 47623.85278608960],
|
|
[2.286, 5.74036496396, 286966.93455731618],
|
|
[2.380, 4.00213666550, 21535.94964451540],
|
|
[1.651, 4.43606584681, 27043.50288318280],
|
|
[1.523, 1.97926797181, 5661.33204915220],
|
|
[1.518, 5.01636479848, 77204.32749453338],
|
|
[1.398, 0.66375029294, 20426.57109242200],
|
|
[1.345, 3.39193943388, 103242.23401420339],
|
|
[1.297, 5.34251327744, 37410.56723987860],
|
|
[1.076, 0.95624460335, 50586.73338786459],
|
|
[1.050, 3.00944151152, 26107.57290247399],
|
|
[0.918, 1.89988871166, 1059.38193018920],
|
|
[1.063, 1.28486292967, 53131.40602475700],
|
|
[0.905, 3.34776562702, 25558.21217647960],
|
|
[0.929, 4.81159652409, 51646.11531805379],
|
|
[0.782, 6.08817839271, 529.69096509460],
|
|
[0.783, 1.50962699410, 41962.52073693740],
|
|
[0.794, 2.16868396183, 63498.47038145279],
|
|
[0.731, 0.92148918837, 73711.75592766379],
|
|
[0.755, 4.10910637390, 26068.23338067440],
|
|
[0.703, 2.22466530621, 10213.28554621100],
|
|
[0.922, 2.30268247092, 1109.37855209340],
|
|
[0.739, 3.05842748947, 105460.99111839019],
|
|
[0.681, 1.40695567526, 51749.20809227239],
|
|
[0.841, 5.93206787810, 26084.02180621620],
|
|
[0.616, 5.95368982430, 39609.65458316560],
|
|
[0.610, 2.96796433797, 25132.30339996560],
|
|
[0.721, 1.16472614778, 46514.47423399620],
|
|
[0.638, 1.16941585214, 26091.78447693220],
|
|
[0.633, 3.07427024064, 30639.85663863300],
|
|
[0.665, 2.47994200156, 313054.83769889036],
|
|
[0.669, 4.10310179631, 72602.37737557039],
|
|
[0.495, 0.14776350456, 129330.13715577759],
|
|
[0.474, 2.61466823958, 32858.61374281979],
|
|
[0.470, 5.04436148211, 13521.75144159140],
|
|
[0.494, 0.07430556450, 28306.66024576099],
|
|
[0.459, 5.81611579004, 51220.20654153979],
|
|
[0.467, 5.56622114735, 4551.95349705880],
|
|
[0.433, 2.10197184422, 24498.83024629040],
|
|
[0.430, 3.91046377635, 76674.63652943878],
|
|
[0.436, 1.46213785727, 43071.89928903080],
|
|
[0.383, 6.05537830853, 52195.47604404819],
|
|
[0.335, 0.55996605330, 23869.14603738740],
|
|
[0.369, 4.43217995206, 22645.32819660879],
|
|
[0.329, 2.59508442112, 65697.55772473979],
|
|
[0.346, 2.03170085305, 27147.28507176339],
|
|
[0.424, 0.29775934661, 1589.07289528380],
|
|
[0.378, 5.09810178577, 53235.18821333759],
|
|
[0.308, 3.30225015955, 54394.56338733519],
|
|
[0.314, 2.40932519602, 83925.04147387479],
|
|
[0.364, 5.87784809361, 58946.51688439399],
|
|
[0.352, 0.87939481900, 52156.13652224860],
|
|
[0.352, 5.92675293084, 25661.30495069820],
|
|
[0.310, 2.69873876637, 52171.92494779040],
|
|
[0.345, 0.84406679212, 98690.28051714458],
|
|
[0.358, 6.14890038263, 56727.75978020720],
|
|
[0.248, 2.34396840060, 51535.90899683439],
|
|
[0.286, 2.39648280163, 19804.82729158280],
|
|
[0.338, 1.55189200325, 52705.49724824299],
|
|
[0.239, 3.35169081927, 52168.69273614759],
|
|
[0.234, 2.51108507067, 77308.10968311399],
|
|
[0.229, 5.16737598091, 36301.18868778519],
|
|
[0.245, 4.26996032400, 19317.19254032860],
|
|
[0.210, 3.16281965425, 29530.47808653960],
|
|
[0.212, 5.33861521612, 15874.61759536320],
|
|
[0.291, 4.22929240183, 52179.68761850640],
|
|
[0.263, 4.64138649646, 69159.80243060499],
|
|
[0.235, 5.08060846802, 59414.48187474840],
|
|
[0.251, 1.90047504790, 14765.23904326980],
|
|
[0.253, 4.21581970504, 79219.30916633119],
|
|
[0.194, 5.05904557922, 51109.31080595839],
|
|
[0.188, 3.90664116889, 48733.23133818299],
|
|
[0.207, 2.89949362192, 7.11354700080],
|
|
[0.179, 4.43018837604, 77837.11123384659],
|
|
[0.223, 2.96569885227, 110012.94461544899],
|
|
[0.176, 5.15204624857, 89586.37352302698],
|
|
[0.215, 4.50903357312, 78793.40038981718],
|
|
[0.173, 3.18496771460, 155418.04029735178],
|
|
[0.205, 1.89888752382, 79323.09135491178],
|
|
[0.175, 2.91183047213, 82815.66292178139],
|
|
[0.165, 0.49123694380, 25035.63475838580],
|
|
[0.183, 1.42148796836, 77734.01845962799],
|
|
[0.158, 3.63030783882, 49957.04917896160],
|
|
[0.201, 4.78711687782, 40853.14218484400],
|
|
[0.157, 3.02451795123, 52182.91983014920],
|
|
[0.192, 5.50218209050, 339142.74084046460],
|
|
[0.145, 3.39803928124, 45892.73043315699],
|
|
[0.140, 2.64826898848, 16983.99614745660],
|
|
[0.190, 3.05043439775, 27676.97603685800],
|
|
[0.169, 3.40273824751, 25874.60404613620],
|
|
[0.148, 3.87588943419, 124778.18365871879],
|
|
[0.134, 0.94930028730, 25021.40766438420],
|
|
[0.174, 5.88326736492, 136100.84775702318],
|
|
[0.138, 2.34393108627, 1052.26838318840],
|
|
[0.163, 6.05484015332, 26080.78959457339],
|
|
[0.142, 3.07209103150, 3442.57494496540],
|
|
[0.137, 2.10984857727, 426.59819087600],
|
|
[0.126, 1.89432609260, 1066.49547719000],
|
|
[0.122, 1.04298624291, 45405.09568190280],
|
|
[0.135, 4.66414339767, 25448.00585526019],
|
|
[0.115, 2.81365851520, 78283.37918562238],
|
|
[0.114, 4.47315411813, 68050.42387851159],
|
|
[0.134, 5.35393682799, 213.29909543800],
|
|
[0.125, 1.61827845372, 129380.13377768178],
|
|
[0.158, 5.53788931475, 9103.90699411760],
|
|
[0.116, 0.50075235780, 102762.53967101299],
|
|
[0.136, 0.24559658100, 50057.04242277000],
|
|
[0.124, 2.20590858584, 33326.57873317420],
|
|
[0.106, 6.15493608726, 11322.66409830440],
|
|
[0.123, 4.43265735200, 639.89728631400],
|
|
[0.137, 3.93191153638, 78244.03966382280],
|
|
[0.138, 4.46503235172, 51123.53789995999],
|
|
[0.119, 3.64440622006, 26617.59410666880],
|
|
[0.099, 6.18313188027, 55618.38122811380],
|
|
[0.101, 5.52733987069, 103396.01282468818],
|
|
[0.107, 4.79994153405, 6770.71060124560],
|
|
[0.096, 0.01853371395, 80482.46652890938],
|
|
[0.115, 1.57423656512, 66941.04532641819],
|
|
[0.111, 1.00588061631, 78267.59076008058],
|
|
[0.121, 5.90839328752, 26095.01668857500],
|
|
[0.095, 5.74549458142, 78259.82808936459],
|
|
[0.100, 1.90676485528, 103292.23063610759],
|
|
[0.107, 5.73194510449, 131548.89425996438],
|
|
[0.098, 5.49064814924, 77623.81213840858],
|
|
[0.112, 0.87682090108, 74821.13447975718],
|
|
[0.090, 5.82373560803, 955.59974160860],
|
|
[0.093, 0.15279056716, 78256.59587772179],
|
|
[0.100, 1.21759895953, 104881.30353139139],
|
|
[0.087, 4.20722631983, 12566.15169998280],
|
|
[0.088, 5.00176994115, 38519.94579197200],
|
|
[0.086, 1.23375034376, 26301.20223701220],
|
|
[0.085, 1.88852891739, 77197.21394753258],
|
|
[0.082, 3.75652571856, 99799.65906923798],
|
|
[0.089, 4.95684147986, 105410.99449648599],
|
|
[0.096, 5.10490831351, 52389.10537858640],
|
|
[0.075, 2.50722139185, 2218.75710418680],
|
|
[0.093, 6.00229475799, 53764.87917843220],
|
|
[0.073, 6.11603054445, 78270.82297172339],
|
|
[0.091, 4.67762120545, 155468.03691925600],
|
|
[0.080, 1.98564256640, 7238.67559160000],
|
|
[0.089, 1.62820970873, 6283.07584999140],
|
|
[0.073, 5.93728826025, 108903.56606335558],
|
|
[0.087, 2.61787684648, 162188.75089859738],
|
|
[0.092, 2.55298032665, 85034.42002596818],
|
|
[0.076, 4.44230028342, 38654.05484155699],
|
|
[0.070, 2.07147354168, 25934.12433108940],
|
|
[0.078, 1.79664677749, 23969.13928119580],
|
|
[0.068, 2.15267768357, 64607.84893354619],
|
|
[0.069, 1.37976390686, 77211.44104153418],
|
|
[0.080, 0.75440631101, 2118.76386037840],
|
|
[0.060, 5.95179539253, 18849.22754997420],
|
|
[0.058, 0.98126270514, 51962.50718771040],
|
|
[0.057, 0.63495768344, 150866.08680029298],
|
|
[0.063, 0.40577774917, 76044.95232053580],
|
|
[0.061, 3.20728040856, 76144.94556434419],
|
|
[0.053, 1.34424134476, 51742.09454527159],
|
|
[0.052, 4.11944860444, 71492.99882347698],
|
|
[0.054, 2.23964604878, 44937.13069154840],
|
|
[0.064, 1.19785741966, 64741.95798313119],
|
|
[0.058, 6.22316473811, 181505.94343892598],
|
|
[0.060, 2.12727479557, 88476.99497093359],
|
|
[0.049, 1.76854754615, 13655.86049117640],
|
|
[0.049, 1.27506119902, 26727.80042788820],
|
|
[0.048, 2.04581990152, 78477.00852016058],
|
|
[0.050, 4.62948267835, 93028.94846799239],
|
|
[0.055, 5.47526225139, 62389.09182935939],
|
|
[0.047, 4.99113735496, 27154.39861876420],
|
|
[0.055, 4.79762177368, 94138.32702008578],
|
|
[0.051, 5.56459812422, 52602.40447402440],
|
|
[0.055, 1.20462687751, 95247.70557217918],
|
|
[0.050, 2.21530140501, 365230.64398203877],
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|
|
[0.003, 3.43071585489, 51219.51712717779],
|
|
[0.002, 5.43620933898, 240452.46032331997],
|
|
[0.002, 4.79210725186, 64901.25971792339],
|
|
[0.003, 0.58543714627, 136722.59155786238],
|
|
[0.002, 3.65273296014, 53029.00266490040],
|
|
[0.003, 1.40305085463, 52278.89905736699],
|
|
[0.003, 2.91888451759, 235900.50682626115],
|
|
[0.002, 5.24862580724, 32769.12799497380],
|
|
[0.003, 0.92825301327, 29428.51556827400],
|
|
[0.002, 1.28026650043, 96357.08412427259],
|
|
[0.003, 3.47745075021, 49842.60989027639],
|
|
[0.003, 1.27522510736, 44295.71712980940],
|
|
[0.003, 2.06356044829, 181659.72224941078],
|
|
[0.002, 1.82577636633, 181026.24909573558],
|
|
[0.002, 3.73653346143, 48847.67062686820],
|
|
[0.002, 4.29258038531, 198489.93958638259],
|
|
[0.003, 1.30423082531, 26237.46633870879],
|
|
[0.002, 5.62405074860, 112231.70171963578],
|
|
[0.003, 4.34969907580, 78213.71280281838],
|
|
[0.002, 4.40950391344, 155475.15046625677],
|
|
[0.002, 5.10859116787, 27669.86248985719],
|
|
[0.002, 2.40342983563, 53771.99272543299],
|
|
[0.002, 1.76898437388, 104505.39137678158],
|
|
[0.002, 1.13321786137, 208173.53416749899],
|
|
[0.003, 4.95012664609, 102769.65321801379],
|
|
[0.002, 2.37593594042, 51951.46148744649],
|
|
[0.003, 0.65556179120, 1692.16566950240],
|
|
[0.002, 1.65727778641, 163766.09444104519],
|
|
],
|
|
# B2
|
|
[
|
|
[11830.934, 4.79065585784, 26087.90314157420],
|
|
[1913.516, 0.00000000000, 0.00000000000],
|
|
[1044.801, 1.21216540536, 52175.80628314840],
|
|
[266.213, 4.43418336532, 78263.70942472259],
|
|
[170.280, 1.62255638714, 104351.61256629678],
|
|
[96.300, 4.80023692017, 130439.51570787099],
|
|
[44.692, 1.60758267772, 156527.41884944518],
|
|
[18.316, 4.66904655377, 182615.32199101939],
|
|
[6.927, 1.43404888930, 208703.22513259359],
|
|
[2.479, 4.47495202955, 234791.12827416777],
|
|
[1.739, 1.83080039600, 27197.28169366760],
|
|
[0.852, 1.22749255198, 260879.03141574195],
|
|
[0.641, 4.87358642253, 53285.18483524180],
|
|
[0.301, 1.96098924430, 51066.42773105500],
|
|
[0.306, 5.03912693671, 24978.52458948080],
|
|
[0.284, 4.25874901943, 286966.93455731618],
|
|
[0.235, 3.14549432371, 51116.42435295920],
|
|
[0.232, 4.22847849119, 31749.23519072640],
|
|
[0.186, 5.05207772442, 77154.33087262919],
|
|
[0.143, 5.71074961492, 21535.94964451540],
|
|
[0.114, 5.62232460770, 27043.50288318280],
|
|
[0.123, 1.51066137419, 79373.08797681599],
|
|
[0.093, 1.83776226489, 103242.23401420339],
|
|
[0.081, 0.85802178989, 57837.13833230060],
|
|
[0.079, 5.50027152752, 47623.85278608960],
|
|
[0.093, 1.01040170383, 313054.83769889036],
|
|
[0.058, 2.35944147105, 53131.40602475700],
|
|
[0.074, 2.28645155343, 50586.73338786459],
|
|
[0.049, 1.78193753560, 28306.66024576099],
|
|
[0.058, 5.88387132512, 77204.32749453338],
|
|
[0.060, 0.54679388547, 37410.56723987860],
|
|
[0.046, 5.77182292982, 529.69096509460],
|
|
[0.052, 3.58488737294, 25558.21217647960],
|
|
[0.061, 1.64891174657, 20426.57109242200],
|
|
[0.043, 6.15538236294, 51646.11531805379],
|
|
[0.042, 4.89875940528, 129330.13715577759],
|
|
[0.036, 5.61094806248, 22645.32819660879],
|
|
[0.033, 4.34189175312, 32858.61374281979],
|
|
[0.037, 4.50512068847, 26107.57290247399],
|
|
[0.032, 1.99466664427, 25132.30339996560],
|
|
[0.030, 0.76607738630, 5661.33204915220],
|
|
[0.027, 4.87180838160, 54394.56338733519],
|
|
[0.029, 5.66168505554, 26068.23338067440],
|
|
[0.025, 3.31115218239, 1059.38193018920],
|
|
[0.029, 2.70280425915, 41962.52073693740],
|
|
[0.029, 3.56940606994, 63498.47038145279],
|
|
[0.029, 4.01947170286, 339142.74084046460],
|
|
[0.028, 0.80200569507, 39609.65458316560],
|
|
[0.023, 5.30820497885, 23869.14603738740],
|
|
[0.024, 4.86369445330, 46514.47423399620],
|
|
[0.027, 3.32081057071, 10213.28554621100],
|
|
[0.030, 1.15631768661, 26084.02180621620],
|
|
[0.024, 2.71284750937, 26091.78447693220],
|
|
[0.021, 5.85119251529, 25874.60404613620],
|
|
[0.026, 3.11971794265, 43071.89928903080],
|
|
[0.023, 1.14258266850, 58946.51688439399],
|
|
[0.021, 4.78965226125, 51220.20654153979],
|
|
[0.025, 5.17153436907, 76674.63652943878],
|
|
[0.020, 6.05659966832, 25028.52121138500],
|
|
[0.017, 4.06375348164, 51535.90899683439],
|
|
[0.019, 2.26589689692, 72602.37737557039],
|
|
[0.019, 2.02802084878, 73711.75592766379],
|
|
[0.020, 2.44092663198, 51749.20809227239],
|
|
[0.017, 1.67702029587, 155418.04029735178],
|
|
[0.018, 2.11191340126, 26617.59410666880],
|
|
[0.019, 0.32685450395, 4551.95349705880],
|
|
[0.016, 4.02105643770, 105460.99111839019],
|
|
[0.014, 2.35860855509, 26080.78959457339],
|
|
[0.013, 3.28426450224, 25661.30495069820],
|
|
[0.016, 2.09223320909, 103292.23063610759],
|
|
[0.013, 2.08475100066, 49957.04917896160],
|
|
[0.014, 5.66400816218, 48733.23133818299],
|
|
[0.013, 1.65023710844, 26095.01668857500],
|
|
[0.015, 5.43792291298, 25973.46385288896],
|
|
[0.012, 5.15541566845, 79219.30916633119],
|
|
[0.012, 2.93766606728, 33326.57873317420],
|
|
[0.011, 5.16599347976, 15874.61759536320],
|
|
[0.015, 3.49521469034, 83925.04147387479],
|
|
[0.012, 1.33980027148, 77308.10968311399],
|
|
[0.012, 2.74476655782, 19317.19254032860],
|
|
[0.014, 5.48457159802, 98690.28051714458],
|
|
[0.012, 6.17629016531, 36301.18868778519],
|
|
[0.012, 5.16549673414, 1589.07289528380],
|
|
[0.010, 3.19718718931, 24498.83024629040],
|
|
[0.010, 3.10957426655, 16983.99614745660],
|
|
[0.010, 2.67818215946, 77734.01845962799],
|
|
[0.012, 1.64438976704, 26202.34243025941],
|
|
[0.011, 6.12421691815, 52705.49724824299],
|
|
[0.010, 5.42117419251, 14765.23904326980],
|
|
[0.011, 1.59577581724, 50057.04242277000],
|
|
[0.012, 2.44342322463, 213.29909543800],
|
|
[0.011, 4.59333229552, 56727.75978020720],
|
|
[0.008, 2.22267415318, 6283.07584999140],
|
|
[0.010, 3.63881306668, 65697.55772473979],
|
|
[0.008, 0.85708473896, 365230.64398203877],
|
|
[0.010, 3.56346926379, 53235.18821333759],
|
|
[0.009, 3.03935867498, 78793.40038981718],
|
|
[0.008, 2.05186284069, 30639.85663863300],
|
|
[0.008, 6.07959531374, 59414.48187474840],
|
|
[0.007, 1.48753095657, 29530.47808653960],
|
|
[0.007, 0.54370332724, 38519.94579197200],
|
|
[0.008, 5.99792913268, 7.11354700080],
|
|
[0.009, 6.08426293157, 69159.80243060499],
|
|
[0.007, 1.35513014510, 82815.66292178139],
|
|
[0.008, 3.00335450338, 40853.14218484400],
|
|
[0.007, 3.40544433462, 1066.49547719000],
|
|
[0.007, 5.80782632115, 45405.09568190280],
|
|
[0.007, 3.82318715536, 1052.26838318840],
|
|
[0.006, 4.57200111034, 55618.38122811380],
|
|
[0.006, 4.85942618671, 52168.69273614759],
|
|
[0.008, 0.34211699258, 79323.09135491178],
|
|
[0.006, 0.67823675060, 110012.94461544899],
|
|
[0.007, 4.12285655199, 45892.73043315699],
|
|
[0.007, 5.41918774642, 1109.37855209340],
|
|
[0.007, 3.14407932401, 51962.50718771040],
|
|
[0.006, 5.13879522396, 76044.95232053580],
|
|
[0.007, 2.06447590782, 124778.18365871879],
|
|
[0.006, 1.61443478349, 3442.57494496540],
|
|
[0.005, 2.01359728100, 27676.97603685800],
|
|
[0.007, 5.49596353318, 23754.70674870219],
|
|
[0.006, 0.71445272050, 27147.28507176339],
|
|
[0.005, 5.58153663720, 68050.42387851159],
|
|
[0.006, 4.72387999717, 52290.24557183361],
|
|
[0.005, 1.65565332809, 80482.46652890938],
|
|
[0.005, 4.67655631038, 181505.94343892598],
|
|
[0.005, 5.35730277715, 12566.15169998280],
|
|
[0.005, 2.24953488234, 52061.36699446317],
|
|
[0.004, 1.93085125724, 52156.13652224860],
|
|
[0.006, 5.23350745087, 129380.13377768178],
|
|
[0.005, 6.27908880897, 66941.04532641819],
|
|
[0.006, 0.86124028508, 52195.47604404819],
|
|
[0.004, 0.23100295125, 89586.37352302698],
|
|
[0.005, 4.23944686799, 103396.01282468818],
|
|
[0.004, 0.29398633221, 51109.31080595839],
|
|
[0.005, 0.38451698643, 955.59974160860],
|
|
[0.005, 5.75812965170, 104881.30353139139],
|
|
[0.005, 3.78671774559, 52171.92494779040],
|
|
[0.004, 5.32828531774, 25448.00585526019],
|
|
[0.005, 3.20016226905, 426.59819087600],
|
|
[0.005, 3.86489045633, 9103.90699411760],
|
|
[0.004, 0.62543334322, 11322.66409830440],
|
|
[0.004, 6.07508617692, 2118.76386037840],
|
|
[0.004, 2.43638238426, 74821.13447975718],
|
|
[0.004, 5.29735530203, 52179.68761850640],
|
|
[0.003, 3.19112063073, 13521.75144159140],
|
|
[0.004, 5.09850398144, 77837.11123384659],
|
|
[0.004, 1.81128771043, 102762.53967101299],
|
|
[0.004, 2.92685125689, 639.89728631400],
|
|
[0.004, 4.37998582536, 52182.91983014920],
|
|
[0.004, 0.90562468300, 77623.81213840858],
|
|
[0.004, 3.40653389629, 105410.99449648599],
|
|
[0.004, 5.56139758889, 26301.20223701220],
|
|
[0.003, 3.84817111044, 2218.75710418680],
|
|
[0.004, 3.40685398189, 52389.10537858640],
|
|
[0.003, 3.64497587259, 64607.84893354619],
|
|
[0.003, 4.90907522926, 99799.65906923798],
|
|
[0.003, 0.33551297325, 13655.86049117640],
|
|
[0.003, 4.38738526963, 108903.56606335558],
|
|
[0.003, 2.71996542810, 38654.05484155699],
|
|
[0.003, 5.21639569130, 150866.08680029298],
|
|
[0.003, 5.79669813464, 131548.89425996438],
|
|
[0.003, 4.24481036893, 136100.84775702318],
|
|
[0.003, 4.74285528385, 53764.87917843220],
|
|
[0.003, 5.12230469501, 32370.97899156560],
|
|
[0.003, 4.91979299090, 18849.22754997420],
|
|
[0.003, 1.21305125502, 105307.21230790539],
|
|
[0.002, 2.61741407230, 71492.99882347698],
|
|
[0.002, 5.29927753161, 64741.95798313119],
|
|
[0.002, 2.59250638038, 155468.03691925600],
|
|
[0.002, 5.60083003625, 26514.50133245020],
|
|
[0.003, 4.14284031224, 85034.42002596818],
|
|
[0.002, 3.04958336441, 93028.94846799239],
|
|
[0.003, 6.16142033746, 78477.00852016058],
|
|
[0.003, 4.49779099000, 76144.94556434419],
|
|
[0.002, 2.74114399659, 130969.20667296558],
|
|
[0.002, 6.18606575651, 51123.53789995999],
|
|
[0.003, 1.68659744145, 28421.09953444620],
|
|
[0.002, 1.39891525246, 81706.28436968799],
|
|
[0.002, 1.36487993355, 79852.78232000639],
|
|
[0.002, 0.86961235954, 129483.91596626239],
|
|
[0.002, 0.16105302705, 25021.40766438420],
|
|
[0.002, 0.20969999844, 19804.82729158280],
|
|
[0.002, 0.99320491085, 162188.75089859738],
|
|
[0.002, 3.94039306142, 391318.54712361295],
|
|
[0.002, 1.80783236802, 23969.13928119580],
|
|
[0.002, 5.12099356220, 51322.60990139639],
|
|
[0.002, 2.80140642811, 62389.09182935939],
|
|
[0.002, 2.60965333457, 52602.40447402440],
|
|
[0.002, 2.72257468038, 7994.52844202420],
|
|
[0.002, 5.84222491614, 103821.92160120218],
|
|
[0.002, 6.04515878720, 25035.63475838580],
|
|
[0.001, 2.34997564292, 85502.38501632259],
|
|
[0.001, 0.17409967102, 131498.89763806018],
|
|
[0.001, 3.11496551907, 25934.12433108940],
|
|
[0.002, 5.12532278095, 78267.59076008058],
|
|
[0.001, 5.49175475674, 104331.94280539699],
|
|
[0.001, 0.44808516059, 78050.41032928458],
|
|
[0.002, 1.92656028088, 102132.85546210999],
|
|
[0.002, 1.93198050022, 853.19638175200],
|
|
[0.001, 2.42972717822, 94138.32702008578],
|
|
[0.002, 5.13550087739, 6770.71060124560],
|
|
[0.001, 4.65441500870, 78259.82808936459],
|
|
[0.001, 3.99687455490, 188276.65404017159],
|
|
[0.001, 4.39069692330, 104371.28232719658],
|
|
[0.001, 1.64083661387, 78283.37918562238],
|
|
[0.001, 1.50558734911, 78378.14871340781],
|
|
[0.002, 6.27597485867, 91785.46086631398],
|
|
[0.001, 4.00786092689, 78244.03966382280],
|
|
[0.001, 1.70741856509, 28206.66700195260],
|
|
[0.001, 5.31900403501, 78149.27013603736],
|
|
[0.001, 1.40205887414, 44937.13069154840],
|
|
[0.001, 1.03752853909, 104347.73123093879],
|
|
[0.001, 0.66520680194, 419.48464387520],
|
|
[0.001, 2.46437105095, 104355.49390165479],
|
|
[0.001, 0.81835364761, 35191.81013569180],
|
|
[0.001, 0.33780670840, 88476.99497093359],
|
|
[0.001, 6.08346231930, 70269.18098269838],
|
|
[0.001, 1.86810476133, 125887.56221081219],
|
|
[0.001, 2.10468974660, 25619.93815121980],
|
|
[0.001, 3.99494842792, 71025.03383312259],
|
|
[0.001, 0.57714874874, 71980.63357473118],
|
|
[0.001, 5.66312942513, 97580.90196505119],
|
|
[0.001, 3.06688416266, 129909.82474277639],
|
|
[0.001, 5.66709359706, 433.71173787680],
|
|
[0.001, 0.91634007063, 103925.01437542078],
|
|
[0.001, 6.02359186416, 181555.94006083018],
|
|
[0.001, 1.44980129997, 26727.80042788820],
|
|
[0.001, 1.45442920390, 207593.84658050019],
|
|
[0.001, 1.12941846578, 60055.89543648739],
|
|
[0.001, 1.16964771504, 134991.46920492980],
|
|
],
|
|
# B3
|
|
[
|
|
[235.423, 0.35387524604, 26087.90314157420],
|
|
[160.537, 0.00000000000, 0.00000000000],
|
|
[18.904, 4.36275460261, 52175.80628314840],
|
|
[6.376, 2.50715381439, 78263.70942472259],
|
|
[4.580, 6.14257817571, 104351.61256629678],
|
|
[3.061, 3.12497552681, 130439.51570787099],
|
|
[1.732, 6.26642412058, 156527.41884944518],
|
|
[0.857, 3.07673166705, 182615.32199101939],
|
|
[0.384, 6.14815319932, 208703.22513259359],
|
|
[0.159, 2.92437378320, 234791.12827416777],
|
|
[0.062, 5.97292432097, 260879.03141574195],
|
|
[0.054, 3.31612529961, 27197.28169366760],
|
|
[0.023, 2.74287679452, 286966.93455731618],
|
|
[0.017, 0.77798463435, 24978.52458948080],
|
|
[0.012, 6.24116133415, 53285.18483524180],
|
|
[0.008, 5.79551081392, 313054.83769889036],
|
|
[0.006, 5.81555175073, 31749.23519072640],
|
|
[0.004, 4.67212195693, 51116.42435295920],
|
|
[0.004, 3.36833718999, 77154.33087262919],
|
|
[0.003, 0.26522113546, 103242.23401420339],
|
|
[0.003, 0.79794705473, 27043.50288318280],
|
|
[0.004, 0.82832725003, 21535.94964451540],
|
|
[0.002, 2.57068697582, 339142.74084046460],
|
|
[0.002, 1.82309397040, 1109.37855209340],
|
|
[0.002, 0.74986942696, 47623.85278608960],
|
|
[0.002, 3.61692083154, 50586.73338786459],
|
|
[0.002, 4.70766241226, 51066.42773105500],
|
|
[0.001, 3.33688549090, 129330.13715577759],
|
|
[0.001, 2.64641192612, 57837.13833230060],
|
|
[0.001, 4.93247555987, 25558.21217647960],
|
|
[0.002, 5.00344393497, 20426.57109242200],
|
|
[0.002, 4.80841415889, 25028.52121138500],
|
|
[0.002, 5.85039338716, 1059.38193018920],
|
|
[0.001, 1.85116662745, 37410.56723987860],
|
|
[0.002, 3.97317842825, 25132.30339996560],
|
|
[0.001, 2.14494291300, 79373.08797681599],
|
|
[0.001, 2.53223701416, 46514.47423399620],
|
|
[0.001, 5.84921632430, 5661.33204915220],
|
|
[0.001, 3.81958470276, 53131.40602475700],
|
|
[0.001, 1.05410669937, 1589.07289528380],
|
|
[0.001, 1.39436798574, 51646.11531805379],
|
|
[0.001, 0.36358097174, 22645.32819660879],
|
|
[0.001, 2.76609972270, 28306.66024576099],
|
|
[0.001, 3.67689055309, 4551.95349705880],
|
|
[0.001, 5.39398540975, 32858.61374281979],
|
|
[0.001, 3.73579127170, 24498.83024629040],
|
|
[0.001, 0.60289607514, 26068.23338067440],
|
|
[0.001, 5.78167324673, 26107.57290247399],
|
|
[0.001, 3.81913361795, 26091.78447693220],
|
|
[0.001, 5.64455351094, 365230.64398203877],
|
|
[0.001, 4.87981157471, 10213.28554621100],
|
|
[0.001, 2.44816565966, 26084.02180621620],
|
|
[0.000, 3.45284067711, 105460.99111839019],
|
|
],
|
|
# B4
|
|
[
|
|
[4.276, 1.74579932115, 26087.90314157420],
|
|
[1.023, 3.14159265359, 0.00000000000],
|
|
[0.425, 4.03419509143, 52175.80628314840],
|
|
[0.257, 0.20643590425, 78263.70942472259],
|
|
[0.116, 3.75237354024, 104351.61256629678],
|
|
[0.073, 1.18210375402, 130439.51570787099],
|
|
[0.051, 4.54581086194, 156527.41884944518],
|
|
[0.031, 1.44226942756, 182615.32199101939],
|
|
[0.016, 4.56372679459, 208703.22513259359],
|
|
[0.008, 1.34684622635, 234791.12827416777],
|
|
[0.003, 4.40269422669, 260879.03141574195],
|
|
[0.001, 4.69096566687, 27197.28169366760],
|
|
[0.001, 1.16082903756, 286966.93455731618],
|
|
[0.000, 1.44918128781, 24978.52458948080],
|
|
[0.000, 4.18046278690, 313054.83769889036],
|
|
],
|
|
# B5
|
|
[
|
|
[0.106, 3.94555784256, 26087.90314157420],
|
|
[0.075, 3.14159265359, 0.00000000000],
|
|
[0.022, 1.30514874546, 52175.80628314840],
|
|
[0.007, 4.99717136857, 78263.70942472259],
|
|
[0.004, 2.05662545278, 104351.61256629678],
|
|
[0.002, 5.43162058632, 130439.51570787099],
|
|
[0.001, 2.68052517331, 156527.41884944518],
|
|
[0.001, 6.00841870284, 182615.32199101939],
|
|
[0.000, 2.85941734701, 208703.22513259359],
|
|
[0.000, 5.96962108614, 234791.12827416777],
|
|
],
|
|
]
|
|
"""This table contains Mercury's periodic terms (all of them) from the
|
|
planetary theory VSOP87 for the heliocentric latitude at the equinox of date
|
|
(taken from the 'D' solution). In Meeus' book a shortened version can be found
|
|
in pages 415-416."""
|
|
|
|
|
|
VSOP87_R = [
|
|
# R0
|
|
[
|
|
[39528271.652, 0.00000000000, 0.00000000000],
|
|
[7834131.817, 6.19233722599, 26087.90314157420],
|
|
[795525.557, 2.95989690096, 52175.80628314840],
|
|
[121281.763, 6.01064153805, 78263.70942472259],
|
|
[21921.969, 2.77820093975, 104351.61256629678],
|
|
[4354.065, 5.82894543257, 130439.51570787099],
|
|
[918.228, 2.59650562598, 156527.41884944518],
|
|
[260.033, 3.02817753482, 27197.28169366760],
|
|
[289.955, 1.42441936951, 25028.52121138500],
|
|
[201.855, 5.64725040350, 182615.32199101939],
|
|
[201.499, 5.59227724202, 31749.23519072640],
|
|
[141.980, 6.25264202645, 24978.52458948080],
|
|
[100.144, 3.73435608689, 21535.94964451540],
|
|
[77.561, 3.66972526976, 20426.57109242200],
|
|
[63.277, 4.29905918105, 25558.21217647960],
|
|
[62.951, 4.76588899933, 1059.38193018920],
|
|
[66.754, 2.52520309182, 5661.33204915220],
|
|
[75.500, 4.47428642962, 51116.42435295920],
|
|
[48.266, 6.06824478778, 53285.18483524180],
|
|
[45.748, 2.41480951648, 208703.22513259359],
|
|
[35.224, 1.05917802674, 27043.50288318280],
|
|
[40.815, 2.35882016415, 57837.13833230060],
|
|
[44.234, 1.21957314874, 15874.61759536320],
|
|
[33.873, 0.86381554651, 25661.30495069820],
|
|
[37.203, 0.51733821470, 47623.85278608960],
|
|
[30.092, 1.79500530627, 37410.56723987860],
|
|
[28.417, 3.02063625668, 51066.42773105500],
|
|
[30.903, 0.88366335532, 24498.83024629040],
|
|
[26.105, 2.15021963174, 39609.65458316560],
|
|
[18.699, 4.96496008403, 11322.66409830440],
|
|
[21.270, 5.36857139841, 13521.75144159140],
|
|
[19.422, 4.98378647655, 10213.28554621100],
|
|
[16.941, 3.88765393402, 26617.59410666880],
|
|
[15.109, 0.44510589948, 46514.47423399620],
|
|
[17.087, 1.24077764194, 77204.32749453338],
|
|
[13.940, 1.62573946865, 27147.28507176339],
|
|
[13.382, 1.07657890477, 51646.11531805379],
|
|
[15.012, 4.28173463507, 41962.52073693740],
|
|
[13.977, 4.77056848793, 33326.57873317420],
|
|
[12.794, 6.06437138766, 1109.37855209340],
|
|
[13.938, 1.99984876578, 25132.30339996560],
|
|
[16.297, 2.63293587817, 19804.82729158280],
|
|
[11.933, 2.36500939134, 4551.95349705880],
|
|
[10.612, 5.46555460932, 234791.12827416777],
|
|
[12.754, 2.07613721222, 529.69096509460],
|
|
[12.069, 2.84997619452, 79373.08797681599],
|
|
[9.069, 1.21263611811, 14765.23904326980],
|
|
[9.491, 0.83697007534, 12566.15169998280],
|
|
[9.379, 5.41195286503, 83925.04147387479],
|
|
[7.499, 2.44636811119, 30639.85663863300],
|
|
[7.463, 5.53233943198, 32858.61374281979],
|
|
[7.215, 1.17101960691, 16983.99614745660],
|
|
[8.492, 3.56622930635, 73711.75592766379],
|
|
[7.109, 5.32625264624, 426.59819087600],
|
|
[6.863, 1.82313992707, 36301.18868778519],
|
|
[6.560, 4.27818149213, 43071.89928903080],
|
|
[8.853, 3.87737694074, 50586.73338786459],
|
|
[6.885, 5.31108526630, 1589.07289528380],
|
|
[5.943, 4.06893157254, 53131.40602475700],
|
|
[7.653, 3.91505031889, 51749.20809227239],
|
|
[6.460, 6.07127449283, 77154.33087262919],
|
|
[5.415, 5.20028107807, 65697.55772473979],
|
|
[5.186, 3.56743214904, 6283.07584999140],
|
|
[4.090, 3.67593658710, 22645.32819660879],
|
|
[4.075, 4.29142111073, 103292.23063610759],
|
|
[4.428, 5.69109527379, 45892.73043315699],
|
|
[3.426, 0.64911736234, 52705.49724824299],
|
|
[3.354, 3.49345105494, 72602.37737557039],
|
|
[4.120, 1.65386255382, 25448.00585526019],
|
|
[3.261, 1.03195890028, 68050.42387851159],
|
|
[3.278, 3.13863529552, 25874.60404613620],
|
|
[3.054, 4.12578324522, 77734.01845962799],
|
|
[3.614, 2.95861599353, 28306.66024576099],
|
|
[2.820, 4.62628436074, 18849.22754997420],
|
|
[2.746, 4.67880529205, 53235.18821333759],
|
|
[2.713, 3.56874913980, 26068.23338067440],
|
|
[2.507, 2.23312085627, 260879.03141574195],
|
|
[3.044, 5.90613310181, 105460.99111839019],
|
|
[2.755, 5.67587087632, 26107.57290247399],
|
|
[2.267, 2.17941340037, 110012.94461544899],
|
|
[2.274, 0.50173671332, 32370.97899156560],
|
|
[2.741, 4.75427920262, 63498.47038145279],
|
|
[2.792, 5.05148206806, 51220.20654153979],
|
|
[2.557, 2.95114696617, 26080.78959457339],
|
|
[2.135, 0.84621449019, 76674.63652943878],
|
|
[1.971, 0.47407494310, 48733.23133818299],
|
|
[1.965, 1.37420902653, 7238.67559160000],
|
|
[2.526, 0.34535290139, 23969.13928119580],
|
|
[2.022, 0.33828477567, 99799.65906923798],
|
|
[1.872, 3.93046425037, 38654.05484155699],
|
|
[1.873, 0.69327393635, 26091.78447693220],
|
|
[1.945, 2.37383894182, 6770.71060124560],
|
|
[1.863, 2.26591720786, 26084.02180621620],
|
|
[1.750, 5.50651903992, 56727.75978020720],
|
|
[1.971, 3.77455887616, 19317.19254032860],
|
|
[1.672, 2.15275897581, 26514.50133245020],
|
|
[1.703, 4.28965990785, 40853.14218484400],
|
|
[1.657, 4.98021773372, 9103.90699411760],
|
|
[2.084, 2.19427123968, 26301.20223701220],
|
|
[1.818, 4.20870869718, 25938.33994443960],
|
|
[1.780, 0.91702846577, 79219.30916633119],
|
|
[1.525, 2.15720744047, 27676.97603685800],
|
|
[1.533, 1.54503054415, 955.59974160860],
|
|
[1.614, 1.27565104562, 25035.63475838580],
|
|
[1.743, 0.68269002122, 77837.11123384659],
|
|
[1.389, 4.85102048256, 62389.09182935939],
|
|
[1.436, 0.05742216761, 23869.14603738740],
|
|
[1.563, 5.84795233948, 26095.01668857500],
|
|
[1.640, 4.66281337712, 25021.40766438420],
|
|
[1.552, 2.83910580545, 103242.23401420339],
|
|
[1.249, 1.97225274067, 91785.46086631398],
|
|
[1.160, 1.73113341823, 38519.94579197200],
|
|
[1.005, 1.05898314860, 129380.13377768178],
|
|
[1.041, 2.78036322434, 213.29909543800],
|
|
[1.105, 4.55512109515, 26011.63707029860],
|
|
[0.979, 2.43870419667, 71980.63357473118],
|
|
[0.853, 0.56334001923, 20760.42703319140],
|
|
[0.874, 4.53679970936, 639.89728631400],
|
|
[0.783, 3.69782403005, 78793.40038981718],
|
|
[0.772, 4.08714349549, 94138.32702008578],
|
|
[0.797, 0.26237215917, 98690.28051714458],
|
|
[0.965, 4.70784179954, 51535.90899683439],
|
|
[0.952, 2.53604676495, 29530.47808653960],
|
|
[0.773, 2.67893222158, 131548.89425996438],
|
|
[0.734, 0.89243669490, 103821.92160120218],
|
|
[0.668, 3.73113394924, 46848.33017476560],
|
|
[0.828, 2.88184821542, 19406.67828817460],
|
|
[0.622, 1.05579535631, 59414.48187474840],
|
|
[0.676, 4.50357599360, 25934.12433108940],
|
|
[0.602, 5.28399057704, 286966.93455731618],
|
|
[0.619, 1.44855037685, 79323.09135491178],
|
|
[0.691, 6.19733262608, 51962.50718771040],
|
|
[0.563, 5.22994296186, 136100.84775702318],
|
|
[0.782, 3.25257254691, 50057.04242277000],
|
|
[0.551, 0.33644229836, 52156.13652224860],
|
|
[0.705, 4.73705371920, 26241.68195205900],
|
|
[0.577, 5.85654734429, 2118.76386037840],
|
|
[0.517, 3.93195379429, 102762.53967101299],
|
|
[0.635, 4.87720838965, 12432.04265039780],
|
|
[0.635, 1.81903685898, 77308.10968311399],
|
|
[0.543, 1.40877130839, 44937.13069154840],
|
|
[0.556, 5.44324390449, 85034.42002596818],
|
|
[0.496, 3.39004132624, 125887.56221081219],
|
|
[0.546, 4.78005317483, 22747.29071487440],
|
|
[0.520, 6.00172746972, 52168.69273614759],
|
|
[0.463, 3.67549187956, 25668.41849769900],
|
|
[0.452, 3.53009000682, 58458.88213313979],
|
|
[0.474, 5.94330512040, 54394.56338733519],
|
|
[0.559, 2.44355554028, 52195.47604404819],
|
|
[0.418, 3.73369494476, 103925.01437542078],
|
|
[0.397, 0.69014608020, 64741.95798313119],
|
|
[0.511, 5.88243734524, 45494.58142974879],
|
|
[0.412, 2.26754404446, 82815.66292178139],
|
|
[0.425, 5.24511927496, 52389.10537858640],
|
|
[0.482, 0.98165400059, 25654.19140369739],
|
|
[0.380, 3.74413132157, 52179.68761850640],
|
|
[0.359, 5.50961077408, 26555.86813192860],
|
|
[0.375, 1.97920050124, 149.56319713460],
|
|
[0.385, 5.88991948790, 129330.13715577759],
|
|
[0.348, 4.91064019959, 1052.26838318840],
|
|
[0.417, 4.32916053867, 51123.53789995999],
|
|
[0.425, 1.43228996047, 51109.31080595839],
|
|
[0.464, 3.98651628073, 105307.21230790539],
|
|
[0.329, 5.20636278221, 52602.40447402440],
|
|
[0.354, 1.04383146533, 66941.04532641819],
|
|
[0.324, 1.62975761811, 88476.99497093359],
|
|
[0.378, 5.31676765847, 52171.92494779040],
|
|
[0.440, 1.46381183715, 89586.37352302698],
|
|
[0.355, 1.52732265492, 1066.49547719000],
|
|
[0.302, 5.21113786435, 53764.87917843220],
|
|
[0.301, 5.02488829134, 117873.36400788819],
|
|
[0.351, 2.00433341730, 24395.73747207180],
|
|
[0.289, 6.19161799918, 26094.53170047421],
|
|
[0.286, 3.77170690304, 7.11354700080],
|
|
[0.284, 3.10942616808, 49957.04917896160],
|
|
[0.385, 2.47184729453, 25234.70675982219],
|
|
[0.382, 0.97683830518, 52026.24308601380],
|
|
[0.271, 5.74710334372, 25455.11940226100],
|
|
[0.375, 0.55187466535, 45405.09568190280],
|
|
[0.267, 2.86410554301, 80482.46652890938],
|
|
[0.304, 6.00190488272, 2218.75710418680],
|
|
[0.259, 1.82921035765, 24505.94379329119],
|
|
[0.251, 4.10979574073, 155468.03691925600],
|
|
[0.289, 3.05373259745, 26081.27458267419],
|
|
[0.242, 5.05501089774, 42153.96900304900],
|
|
[0.244, 2.15621668050, 3442.57494496540],
|
|
[0.315, 2.61613386386, 52182.91983014920],
|
|
[0.256, 3.71117332461, 25619.93815121980],
|
|
[0.232, 2.21576531181, 16066.06586147480],
|
|
[0.233, 5.49033130906, 98068.53671630539],
|
|
[0.236, 4.08612620637, 26013.12154300690],
|
|
[0.225, 0.44449338810, 76144.94556434419],
|
|
[0.242, 3.29851820234, 6681.22485339960],
|
|
[0.227, 1.63236736805, 76.26607127560],
|
|
[0.268, 1.09037236588, 18093.37469954999],
|
|
[0.255, 4.20635818545, 44181.27784112419],
|
|
[0.205, 1.00234895959, 26190.99591579279],
|
|
[0.228, 1.46077047931, 77623.81213840858],
|
|
[0.197, 1.36693360783, 26727.80042788820],
|
|
[0.259, 1.28296039354, 13655.86049117640],
|
|
[0.197, 5.73307583430, 157636.79740153858],
|
|
[0.196, 0.06606260924, 40565.25432477420],
|
|
[0.187, 0.86187283408, 120226.23016165999],
|
|
[0.262, 4.14850032709, 24491.71669928959],
|
|
[0.244, 4.14399890076, 95247.70557217918],
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[0.003, 4.20183911478, 149642.26895951436],
|
|
[0.003, 0.73100534966, 35679.44488694599],
|
|
[0.003, 1.18977971170, 143164.96914264598],
|
|
[0.003, 1.17691552034, 52145.47942214399],
|
|
[0.003, 4.94963823249, 49637.55777889479],
|
|
[0.003, 3.00732745961, 24705.01579472759],
|
|
[0.003, 5.76323456196, 49976.71893986139],
|
|
[0.003, 4.83245208446, 156523.53751408719],
|
|
[0.002, 3.69719041336, 24616.15011451060],
|
|
[0.003, 0.18439316147, 78597.56536549199],
|
|
[0.003, 4.98373933018, 102129.75593169978],
|
|
[0.003, 0.02228487734, 1.48447270830],
|
|
[0.003, 4.06250318984, 97466.46267636596],
|
|
[0.003, 2.65726234287, 13705.85711308060],
|
|
[0.002, 0.12883868680, 149756.70824819960],
|
|
[0.003, 2.82299563379, 53132.09543911899],
|
|
[0.003, 5.99061509510, 29864.33402730900],
|
|
[0.003, 3.93018711070, 17098.43543614181],
|
|
[0.002, 4.22698039366, 10681.25053656540],
|
|
[0.002, 1.31889013785, 25572.43927048119],
|
|
[0.002, 3.49816744164, 51092.72605085480],
|
|
[0.003, 1.52361691660, 78265.19389743089],
|
|
[0.003, 0.52188463522, 52277.76880141400],
|
|
[0.003, 3.80600862869, 25124.50043860279],
|
|
[0.003, 6.14366757538, 48153.54375118419],
|
|
[0.002, 0.58190501461, 27573.88326263939],
|
|
[0.003, 5.63901497713, 106470.37642667518],
|
|
[0.002, 3.36639066096, 42430.48572729180],
|
|
[0.003, 3.08628517069, 4083.98850670440],
|
|
[0.002, 6.13024035669, 104035.22069664019],
|
|
[0.003, 1.81280963372, 104401.60918820098],
|
|
[0.003, 3.34404708133, 130020.03106399579],
|
|
[0.002, 1.22333771717, 76094.94894243999],
|
|
[0.002, 0.63542334090, 1485.29070670320],
|
|
[0.003, 5.24568241255, 6885.14988993081],
|
|
[0.003, 2.46305012048, 133882.09065283637],
|
|
[0.002, 0.84094631125, 163766.09444104519],
|
|
[0.003, 2.12660879166, 42790.96527507320],
|
|
[0.002, 2.98805690719, 26235.98186600050],
|
|
[0.003, 3.26197855217, 156531.30018480320],
|
|
[0.002, 4.50734435605, 25248.93385382380],
|
|
[0.002, 4.32859791317, 1685.05212250160],
|
|
[0.002, 5.62335584014, 28213.78054895339],
|
|
[0.002, 3.87492323552, 199599.31813847594],
|
|
[0.002, 2.60597304148, 26713.57333388659],
|
|
[0.003, 4.15733644316, 51688.17153189420],
|
|
[0.003, 4.33101389874, 220025.88923089797],
|
|
[0.002, 4.46567523081, 31127.49138988719],
|
|
[0.002, 3.66265576771, 26397.18146422999],
|
|
[0.002, 4.68312774052, 49850.85687433279],
|
|
[0.002, 4.51215350981, 52812.80255517260],
|
|
[0.003, 3.56621882535, 154408.65498906677],
|
|
[0.002, 3.95708432187, 1574.84580128220],
|
|
[0.002, 2.41940194318, 104668.00443595338],
|
|
[0.003, 0.24921211552, 25778.62481891839],
|
|
[0.002, 3.18370791629, 207114.15223730978],
|
|
[0.002, 4.17768592199, 51734.98099827079],
|
|
[0.002, 1.74283332135, 76532.58707178998],
|
|
[0.002, 1.36339547692, 6044.22858137540],
|
|
[0.002, 2.82219230315, 63786.35824152260],
|
|
[0.002, 5.27165023098, 75085.56363415498],
|
|
[0.002, 5.76735720320, 25661.99436506020],
|
|
[0.002, 5.24666183170, 24734.15439655740],
|
|
[0.002, 5.31625926462, 24998.19435038059],
|
|
[0.002, 0.17868115875, 177287.84588263658],
|
|
[0.003, 5.47127542511, 27388.72995977919],
|
|
[0.002, 2.48055036253, 25543.98508247800],
|
|
[0.002, 0.16253031708, 23113.29318696320],
|
|
[0.003, 1.68453793975, 2703.61615467560],
|
|
[0.002, 1.17069889009, 53551.58008299420],
|
|
[0.003, 3.06893058902, 230239.17477710897],
|
|
[0.003, 5.00145362139, 180496.55813064100],
|
|
[0.002, 1.90098213386, 20272.79228193720],
|
|
[0.003, 5.06877735444, 440.82528487760],
|
|
[0.002, 1.33626564472, 196156.74319351057],
|
|
[0.002, 4.50940380454, 65538.25598994759],
|
|
[0.002, 4.55891488212, 2324.94940881560],
|
|
[0.002, 0.21025125051, 18227.48374913500],
|
|
[0.002, 0.58359043648, 156377.85565231059],
|
|
[0.002, 4.57189351312, 26926.87242932459],
|
|
[0.002, 3.79747475767, 65851.33653522459],
|
|
[0.002, 0.30139015500, 50951.98844236979],
|
|
[0.002, 3.94570007959, 225687.22128005017],
|
|
[0.002, 0.99415397716, 2064.97829370200],
|
|
[0.002, 3.49827019018, 78905.12298646157],
|
|
[0.002, 4.16512398869, 24864.08530079559],
|
|
[0.002, 0.47605198546, 107692.22499299659],
|
|
[0.002, 0.02213914405, 197092.67317421938],
|
|
[0.002, 0.35795159068, 104301.61594439259],
|
|
[0.002, 2.54426644231, 249268.47945736776],
|
|
[0.002, 0.35872697789, 25462.23294926180],
|
|
[0.002, 0.03956368481, 24189.55192363460],
|
|
[0.002, 2.00682967230, 28786.35458895140],
|
|
[0.002, 1.64612572499, 40738.70289615879],
|
|
[0.002, 1.77509184801, 22595.33157470459],
|
|
[0.002, 1.93881159123, 78697.42116259939],
|
|
[0.002, 1.06567957268, 21562.24796431520],
|
|
[0.003, 4.58782698256, 156954.01704032117],
|
|
[0.002, 0.84740706727, 24494.89809302729],
|
|
[0.002, 5.98697403459, 283524.35961235070],
|
|
[0.002, 4.02135788869, 26238.95081141709],
|
|
[0.002, 3.98649649262, 24808.10856894620],
|
|
[0.002, 3.06252327958, 57369.17334194619],
|
|
[0.002, 6.10258403438, 78115.63070029629],
|
|
[0.002, 0.19431714321, 55484.27217852879],
|
|
[0.002, 4.26819419359, 90989.16285949759],
|
|
[0.002, 2.94941610280, 22065.64060961000],
|
|
[0.002, 4.53722544295, 52355.88341343300],
|
|
[0.002, 1.97399498955, 430.53034413910],
|
|
[0.002, 1.99872081555, 24932.54198416719],
|
|
[0.002, 0.37032643194, 26500.27423844859],
|
|
[0.002, 3.83480132336, 307.55762096960],
|
|
[0.002, 5.81356382744, 51538.81001112419],
|
|
[0.002, 6.20773606719, 49.99662190420],
|
|
[0.002, 2.40589345998, 77929.85348395319],
|
|
[0.002, 4.51719783127, 21067.98465416099],
|
|
[0.002, 2.06311358499, 23233.26276766400],
|
|
[0.002, 0.29430089395, 24765.22549404280],
|
|
[0.002, 2.21513587213, 25675.53204469980],
|
|
[0.002, 2.29291278322, 27410.58078910560],
|
|
[0.002, 2.39356701559, 242985.40360737636],
|
|
[0.002, 4.28957020884, 71378.55953479178],
|
|
[0.002, 5.41199778568, 23704.71012679799],
|
|
[0.002, 0.54252133289, 3.88133535800],
|
|
[0.002, 5.88236623932, 52072.02409456780],
|
|
[0.002, 5.78749542412, 78373.91574594198],
|
|
[0.002, 5.69226787602, 51040.12941125520],
|
|
[0.002, 4.42185841709, 93696.66034953119],
|
|
[0.002, 5.15491529148, 78112.66175487968],
|
|
[0.002, 2.30493903824, 27883.16158529519],
|
|
[0.002, 5.53948896377, 87253.17713015496],
|
|
[0.002, 4.75957265478, 52336.21365253320],
|
|
[0.002, 6.08199781417, 18043.37807764579],
|
|
[0.002, 0.73324052336, 25757.28417791599],
|
|
[0.002, 0.91928644358, 52186.85198341230],
|
|
[0.002, 3.22142261212, 104771.09721017198],
|
|
[0.002, 2.01671301400, 46564.47085590040],
|
|
[0.002, 4.39545799671, 41520.85406638280],
|
|
[0.002, 2.52858429504, 26140.99929388859],
|
|
[0.002, 2.07561943546, 53654.67285721279],
|
|
[0.002, 0.08977124652, 25135.82651831460],
|
|
[0.002, 1.67350036401, 66826.60603773296],
|
|
[0.002, 4.57268426145, 158116.49174472899],
|
|
[0.002, 2.84194927894, 78249.48233072099],
|
|
[0.002, 3.07002924674, 23432.33476910039],
|
|
[0.002, 4.11559657607, 123554.36581794015],
|
|
[0.002, 0.05687800902, 26034.80698925980],
|
|
[0.002, 4.28354458896, 24484.60315228879],
|
|
[0.002, 3.24222429199, 21509.65132471559],
|
|
[0.002, 2.52315832958, 210614.42461581077],
|
|
[0.002, 4.44247371827, 148532.89040742096],
|
|
[0.002, 0.11737800376, 146505.58156934578],
|
|
[0.002, 2.41371362390, 54862.52837768960],
|
|
[0.002, 4.66022680664, 247223.17092456558],
|
|
[0.002, 3.79260774499, 3308.46589538040],
|
|
[0.002, 5.83454304626, 2974.60995461100],
|
|
[0.002, 5.37878500160, 77622.29586298359],
|
|
[0.002, 1.63153524958, 99979.73619952259],
|
|
[0.002, 5.18613735503, 50600.96048186620],
|
|
[0.002, 2.55420547959, 76064.62208143558],
|
|
[0.002, 4.05996888958, 24502.76239955349],
|
|
[0.002, 2.47809526116, 179966.86716554637],
|
|
[0.002, 1.25528265056, 50912.64892057020],
|
|
[0.002, 0.75306774592, 235746.72801577637],
|
|
[0.002, 2.97464643769, 31219.54422563180],
|
|
[0.001, 0.17722772219, 158438.61833266239],
|
|
[0.002, 4.94589808424, 168959.46149984296],
|
|
[0.002, 0.63110575282, 415.55249061210],
|
|
[0.001, 0.77799418557, 299398.97720771394],
|
|
[0.002, 5.97867896248, 164721.69418265377],
|
|
[0.002, 5.62955025847, 21819.80896338059],
|
|
[0.001, 4.93638931294, 27993.36790651460],
|
|
[0.002, 6.22578827437, 74935.57376844239],
|
|
[0.002, 1.03965665113, 1802.37199072180],
|
|
[0.001, 5.61994219678, 50690.51557644519],
|
|
[0.002, 5.02281046549, 422.66603761290],
|
|
[0.001, 3.57619837497, 209658.82487420217],
|
|
[0.002, 0.11249539090, 38469.94917006779],
|
|
[0.002, 0.62470424533, 51745.27593900929],
|
|
[0.001, 0.71806518278, 28928.40404660019],
|
|
[0.002, 3.91669753023, 76352.50994150538],
|
|
[0.002, 3.05277164813, 225.82926841020],
|
|
[0.001, 4.33602746737, 4601.95011896300],
|
|
],
|
|
# R1
|
|
[
|
|
[217347.739, 4.65617158663, 26087.90314157420],
|
|
[44141.826, 1.42385543975, 52175.80628314840],
|
|
[10094.479, 4.47466326316, 78263.70942472259],
|
|
[2432.804, 1.24226083435, 104351.61256629678],
|
|
[1624.367, 0.00000000000, 0.00000000000],
|
|
[603.996, 4.29303116561, 130439.51570787099],
|
|
[152.851, 1.06060779810, 156527.41884944518],
|
|
[39.202, 4.11136751416, 182615.32199101939],
|
|
[17.760, 4.54424653085, 27197.28169366760],
|
|
[17.999, 4.71193725810, 24978.52458948080],
|
|
[10.154, 0.87893548494, 208703.22513259359],
|
|
[8.086, 3.00540854890, 25028.52121138500],
|
|
[4.444, 2.13639058123, 20426.57109242200],
|
|
[4.393, 1.48074475165, 51066.42773105500],
|
|
[3.510, 3.21171223697, 1059.38193018920],
|
|
[3.133, 5.23846336855, 21535.94964451540],
|
|
[2.650, 3.92968881423, 234791.12827416777],
|
|
[2.498, 2.02623950395, 24498.83024629040],
|
|
[2.011, 1.23911360588, 53285.18483524180],
|
|
[1.963, 4.04524902962, 5661.33204915220],
|
|
[1.546, 2.61849590442, 26617.59410666880],
|
|
[1.542, 2.35659537465, 27043.50288318280],
|
|
[1.417, 1.37876323533, 1109.37855209340],
|
|
[1.295, 5.19094850935, 46514.47423399620],
|
|
[1.241, 0.21246226135, 11322.66409830440],
|
|
[1.090, 6.23733263925, 27147.28507176339],
|
|
[1.271, 0.56437938715, 25132.30339996560],
|
|
[1.120, 0.86374628388, 57837.13833230060],
|
|
[1.005, 3.28272284427, 37410.56723987860],
|
|
[1.177, 4.53194022227, 77154.33087262919],
|
|
[0.841, 5.96261035419, 14765.23904326980],
|
|
[0.935, 2.37277497611, 25661.30495069820],
|
|
[0.742, 0.77751594919, 32858.61374281979],
|
|
[0.736, 4.06885296570, 1589.07289528380],
|
|
[0.712, 2.70884051645, 16983.99614745660],
|
|
[0.863, 5.55308682281, 25558.21217647960],
|
|
[0.707, 0.92992556568, 30639.85663863300],
|
|
[0.696, 0.69734796212, 260879.03141574195],
|
|
[0.678, 2.02193885930, 26068.23338067440],
|
|
[0.608, 0.85708468483, 4551.95349705880],
|
|
[0.546, 5.38138962861, 26091.78447693220],
|
|
[0.608, 3.65993973133, 25448.00585526019],
|
|
[0.597, 4.64867954048, 26080.78959457339],
|
|
[0.572, 3.50125649521, 10213.28554621100],
|
|
[0.515, 4.83662922562, 50586.73338786459],
|
|
[0.532, 5.21855381213, 22645.32819660879],
|
|
[0.572, 0.62751016416, 13521.75144159140],
|
|
[0.516, 3.89421000089, 83925.04147387479],
|
|
[0.507, 5.55466020276, 12566.15169998280],
|
|
[0.606, 4.50215566301, 28306.66024576099],
|
|
[0.533, 0.93587795381, 26107.57290247399],
|
|
[0.435, 5.79043985706, 43071.89928903080],
|
|
[0.436, 5.86659160961, 25035.63475838580],
|
|
[0.429, 0.26260280461, 36301.18868778519],
|
|
[0.472, 6.00507778421, 77204.32749453338],
|
|
[0.443, 3.86758570847, 26084.02180621620],
|
|
[0.487, 4.23950195756, 26095.01668857500],
|
|
[0.406, 5.60324652352, 52705.49724824299],
|
|
[0.523, 0.06439941262, 25021.40766438420],
|
|
[0.379, 1.95647626585, 72602.37737557039],
|
|
[0.390, 3.81996185881, 426.59819087600],
|
|
[0.418, 2.77521418660, 41962.52073693740],
|
|
[0.453, 0.72803137250, 529.69096509460],
|
|
[0.358, 6.00165335616, 33326.57873317420],
|
|
[0.347, 1.39524259509, 23969.13928119580],
|
|
[0.340, 0.24111380317, 26301.20223701220],
|
|
[0.325, 4.78747749132, 23869.14603738740],
|
|
[0.290, 3.04044859601, 53235.18821333759],
|
|
[0.326, 1.30033833957, 103242.23401420339],
|
|
[0.316, 2.22791434675, 19317.19254032860],
|
|
[0.264, 3.93160763696, 6770.71060124560],
|
|
[0.332, 3.59235758173, 51220.20654153979],
|
|
[0.223, 2.76528831516, 103292.23063610759],
|
|
[0.215, 3.97996009773, 56727.75978020720],
|
|
[0.235, 2.24050503260, 25874.60404613620],
|
|
[0.215, 6.16660008496, 51646.11531805379],
|
|
[0.208, 2.74551899929, 40853.14218484400],
|
|
[0.204, 3.44654782597, 9103.90699411760],
|
|
[0.197, 0.80026289238, 27676.97603685800],
|
|
[0.205, 3.20844012088, 18849.22754997420],
|
|
[0.196, 1.99924288764, 48733.23133818299],
|
|
[0.218, 2.11865566044, 73711.75592766379],
|
|
[0.189, 0.65681038131, 110012.94461544899],
|
|
[0.207, 5.89082708705, 31749.23519072640],
|
|
[0.184, 3.74837387583, 286966.93455731618],
|
|
[0.174, 5.81264188702, 68050.42387851159],
|
|
[0.163, 4.00380715262, 79373.08797681599],
|
|
[0.152, 5.07389967152, 52156.13652224860],
|
|
[0.151, 2.83369443311, 955.59974160860],
|
|
[0.151, 0.40953650210, 26514.50133245020],
|
|
[0.147, 2.32191248197, 38654.05484155699],
|
|
[0.154, 3.26437373895, 38519.94579197200],
|
|
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|
[0.001, 1.98744571247, 26411.40855823160],
|
|
[0.002, 0.58716824437, 52065.59996192899],
|
|
[0.001, 5.83388253183, 104275.34649502118],
|
|
[0.001, 2.07307900948, 78188.92782615528],
|
|
[0.001, 4.54379329814, 203041.89308344139],
|
|
[0.001, 3.67961974137, 116783.65521669458],
|
|
[0.001, 2.76419827660, 52812.80255517260],
|
|
[0.001, 5.76246998806, 1375.77379984580],
|
|
[0.001, 3.49542841313, 79315.97780791098],
|
|
[0.001, 3.09408892186, 9384.84100807520],
|
|
[0.002, 2.99230815235, 91805.13062721379],
|
|
[0.001, 2.31818985780, 58220.03486452380],
|
|
[0.001, 2.52061585089, 91919.56991589899],
|
|
[0.001, 0.20823485438, 54879.42243782400],
|
|
[0.001, 4.44457464944, 6044.22858137540],
|
|
[0.001, 0.49331056411, 104819.57755665119],
|
|
[0.001, 5.98062907857, 106570.36967048359],
|
|
[0.001, 3.43578051874, 51841.95034237900],
|
|
[0.001, 1.50478057782, 137210.22630911658],
|
|
[0.001, 0.85871789181, 25985.94062330859],
|
|
[0.001, 0.00464768227, 196137.07343261078],
|
|
[0.001, 4.31601888279, 50483.64061364600],
|
|
[0.001, 3.82192552665, 25928.60140678200],
|
|
[0.001, 2.13422641639, 62197.64356324779],
|
|
[0.001, 0.26342054765, 1795.25844372100],
|
|
[0.001, 3.33069384141, 19.66976089979],
|
|
[0.001, 5.04672208460, 26247.20487636640],
|
|
[0.001, 3.69091550110, 77307.42026875199],
|
|
[0.001, 0.68629642431, 26102.13023557580],
|
|
[0.001, 5.61963025660, 104197.83375581198],
|
|
[0.001, 0.41026701894, 636.99627202420],
|
|
[0.001, 2.73690252229, 170068.84005193636],
|
|
[0.001, 2.97981003623, 78057.52387628538],
|
|
[0.001, 2.84174115238, 168959.46149984296],
|
|
[0.001, 6.19695864555, 241561.83887541335],
|
|
[0.001, 2.31427972623, 179172.74704605396],
|
|
[0.001, 0.82072277702, 51329.72344839720],
|
|
[0.001, 5.23954201903, 99024.13645791399],
|
|
[0.001, 1.86269361791, 45494.58142974879],
|
|
[0.001, 3.54450921353, 78338.49102328988],
|
|
[0.001, 4.60745432488, 156507.74908854539],
|
|
[0.001, 1.62346464256, 128106.31931499895],
|
|
[0.001, 0.72186155433, 27005.83342755599],
|
|
[0.001, 2.30344666604, 50380.54783942739],
|
|
[0.001, 1.18658609813, 8989.46770543239],
|
|
[0.001, 6.25857682168, 50800.03248330259],
|
|
[0.001, 0.99962008973, 163298.12945069079],
|
|
[0.001, 2.86790873835, 38634.38508065720],
|
|
[0.001, 3.61827980669, 106262.81204951399],
|
|
[0.001, 0.61515728295, 78469.89497315978],
|
|
[0.001, 4.60636743786, 126996.94076290558],
|
|
[0.001, 4.48187053152, 231348.55332920235],
|
|
[0.001, 5.19829793680, 142871.55835826878],
|
|
[0.001, 5.68864830775, 3178.14579056760],
|
|
[0.001, 4.89753750946, 53265.51507434200],
|
|
[0.001, 3.68051221186, 2703.61615467560],
|
|
[0.001, 0.01737531330, 103814.80805420138],
|
|
[0.001, 1.79348974875, 183145.01295611399],
|
|
[0.001, 6.16564988887, 199599.31813847594],
|
|
[0.001, 0.63301837081, 51439.92976961659],
|
|
[0.001, 2.29427904310, 1485.98012106520],
|
|
[0.001, 1.44184009822, 112545.88789950538],
|
|
[0.001, 0.55411127132, 42790.96527507320],
|
|
[0.001, 5.07507945312, 54824.26110862140],
|
|
[0.001, 5.10858625008, 107679.74822257696],
|
|
[0.001, 5.50068575093, 27819.02549450680],
|
|
[0.001, 5.60579347269, 153084.84390447979],
|
|
[0.001, 4.92352598929, 51596.11869614960],
|
|
[0.001, 6.10538330268, 181659.72224941078],
|
|
],
|
|
# R2
|
|
[
|
|
[3117.867, 3.08231840296, 26087.90314157420],
|
|
[1245.396, 6.15183317423, 52175.80628314840],
|
|
[424.822, 2.92583352960, 78263.70942472259],
|
|
[136.130, 5.97983925842, 104351.61256629678],
|
|
[42.175, 2.74936980629, 130439.51570787099],
|
|
[21.759, 3.14159265359, 0.00000000000],
|
|
[12.793, 5.80143162209, 156527.41884944518],
|
|
[3.825, 2.56993599584, 182615.32199101939],
|
|
[1.042, 3.14648120079, 24978.52458948080],
|
|
[1.131, 5.62142196970, 208703.22513259359],
|
|
[0.483, 6.14307654520, 27197.28169366760],
|
|
[0.332, 2.38992575670, 234791.12827416777],
|
|
[0.320, 6.20674766565, 51066.42773105500],
|
|
[0.120, 0.56745598887, 20426.57109242200],
|
|
[0.113, 3.28048907943, 24498.83024629040],
|
|
[0.105, 4.36663468239, 25028.52121138500],
|
|
[0.097, 5.44128884026, 260879.03141574195],
|
|
[0.095, 1.70276410782, 1059.38193018920],
|
|
[0.103, 2.98038190305, 77154.33087262919],
|
|
[0.074, 1.28630381800, 26617.59410666880],
|
|
[0.057, 2.96753362980, 1109.37855209340],
|
|
[0.066, 5.68201233964, 25132.30339996560],
|
|
[0.053, 3.63699398162, 46514.47423399620],
|
|
[0.059, 3.10922979724, 27043.50288318280],
|
|
[0.053, 0.66673109494, 21535.94964451540],
|
|
[0.043, 4.69270605698, 27147.28507176339],
|
|
[0.042, 2.77372510028, 1589.07289528380],
|
|
[0.036, 4.39741248058, 14765.23904326980],
|
|
[0.035, 1.80468389323, 11322.66409830440],
|
|
[0.043, 6.07426254990, 28306.66024576099],
|
|
[0.033, 5.34572581657, 25448.00585526019],
|
|
[0.031, 5.66489075070, 30639.85663863300],
|
|
[0.031, 2.36104565226, 32858.61374281979],
|
|
[0.031, 4.27403143366, 16983.99614745660],
|
|
[0.033, 3.22976052744, 23869.14603738740],
|
|
[0.031, 0.50041076120, 22645.32819660879],
|
|
[0.028, 2.21390393577, 286966.93455731618],
|
|
[0.033, 6.03682885493, 103242.23401420339],
|
|
[0.025, 4.23934105457, 52705.49724824299],
|
|
[0.023, 2.59711556958, 23969.13928119580],
|
|
[0.027, 2.10665521901, 25558.21217647960],
|
|
[0.021, 0.40892383580, 72602.37737557039],
|
|
[0.025, 5.69513499802, 5661.33204915220],
|
|
[0.022, 4.86064608327, 26301.20223701220],
|
|
[0.024, 0.66522740624, 19317.19254032860],
|
|
[0.020, 5.61847810688, 4551.95349705880],
|
|
[0.021, 2.30083904827, 51220.20654153979],
|
|
[0.018, 0.48839037250, 26068.23338067440],
|
|
[0.016, 6.07779022342, 50586.73338786459],
|
|
[0.016, 1.47218845921, 53235.18821333759],
|
|
[0.017, 2.94277588966, 53285.18483524180],
|
|
[0.015, 2.39097980793, 83925.04147387479],
|
|
[0.015, 3.85502950028, 26091.78447693220],
|
|
[0.014, 4.13753968603, 12566.15169998280],
|
|
[0.015, 5.51545801304, 6770.71060124560],
|
|
[0.014, 5.67708505049, 57837.13833230060],
|
|
[0.014, 5.73775080815, 27676.97603685800],
|
|
[0.016, 5.69298300679, 26107.57290247399],
|
|
[0.014, 5.00837046884, 37410.56723987860],
|
|
[0.015, 5.72321978212, 29530.47808653960],
|
|
[0.012, 1.18827026407, 40853.14218484400],
|
|
[0.013, 2.34101240702, 26084.02180621620],
|
|
[0.012, 2.43920574243, 56727.75978020720],
|
|
[0.012, 1.12086684687, 43071.89928903080],
|
|
[0.012, 1.86975778356, 9103.90699411760],
|
|
[0.012, 4.90236416950, 36301.18868778519],
|
|
[0.010, 2.33297570685, 426.59819087600],
|
|
[0.011, 2.80390774003, 129330.13715577759],
|
|
[0.010, 5.86382886189, 26202.34243025941],
|
|
[0.009, 0.03545904481, 25234.70675982219],
|
|
[0.011, 0.92571990717, 639.89728631400],
|
|
[0.010, 3.94827815051, 25661.30495069820],
|
|
[0.009, 0.00145195768, 49957.04917896160],
|
|
[0.008, 5.42702003399, 110012.94461544899],
|
|
[0.008, 3.39306818321, 25973.46385288896],
|
|
[0.009, 4.83499870418, 38519.94579197200],
|
|
[0.008, 5.65148718768, 53131.40602475700],
|
|
[0.009, 5.73812314204, 51116.42435295920],
|
|
[0.008, 1.98050481337, 13521.75144159140],
|
|
[0.009, 0.95963913886, 78793.40038981718],
|
|
[0.008, 5.24647237181, 313054.83769889036],
|
|
[0.008, 3.52212788936, 52156.13652224860],
|
|
[0.007, 3.57060093012, 48733.23133818299],
|
|
[0.008, 3.47359025801, 98690.28051714458],
|
|
[0.008, 5.32679971128, 51646.11531805379],
|
|
[0.010, 5.07319693095, 25874.60404613620],
|
|
[0.008, 4.34411026261, 31749.23519072640],
|
|
[0.007, 3.44556423722, 26080.78959457339],
|
|
[0.007, 5.28088749622, 77308.10968311399],
|
|
[0.007, 3.46667099767, 2118.76386037840],
|
|
[0.007, 1.96360039314, 10213.28554621100],
|
|
[0.007, 1.18631489114, 103292.23063610759],
|
|
[0.007, 4.28693259279, 955.59974160860],
|
|
[0.007, 0.88520158736, 38654.05484155699],
|
|
[0.009, 2.12100150030, 18849.22754997420],
|
|
[0.008, 2.75301666365, 26095.01668857500],
|
|
[0.007, 4.98530328971, 529.69096509460],
|
|
[0.007, 0.20928215626, 33326.57873317420],
|
|
[0.006, 4.54286088482, 79323.09135491178],
|
|
[0.006, 0.60060875587, 52179.68761850640],
|
|
[0.006, 1.21940434381, 41962.52073693740],
|
|
[0.006, 1.74585091288, 62389.09182935939],
|
|
[0.006, 2.13481309441, 51535.90899683439],
|
|
[0.006, 4.92478078408, 26514.50133245020],
|
|
[0.007, 4.18249532118, 77204.32749453338],
|
|
[0.007, 1.68449319925, 52389.10537858640],
|
|
[0.005, 4.28220819106, 68050.42387851159],
|
|
[0.007, 1.69076988754, 12432.04265039780],
|
|
[0.006, 3.73803069606, 45405.09568190280],
|
|
[0.005, 2.61320374120, 79373.08797681599],
|
|
[0.005, 2.82458540907, 54394.56338733519],
|
|
[0.004, 6.27439443684, 52168.69273614759],
|
|
[0.005, 4.50767453332, 13655.86049117640],
|
|
[0.006, 2.41451327257, 52195.47604404819],
|
|
[0.005, 5.35396003655, 52171.92494779040],
|
|
[0.005, 5.48187638039, 82815.66292178139],
|
|
[0.004, 2.46695073802, 55618.38122811380],
|
|
[0.004, 2.40470389725, 53764.87917843220],
|
|
[0.004, 4.24591997877, 66941.04532641819],
|
|
[0.004, 3.26730161531, 7238.67559160000],
|
|
[0.004, 4.24517841791, 129380.13377768178],
|
|
[0.004, 5.46706523938, 50057.04242277000],
|
|
[0.004, 2.17208918484, 136100.84775702318],
|
|
[0.004, 5.86573287261, 155418.04029735178],
|
|
[0.004, 4.15256069197, 32370.97899156560],
|
|
[0.004, 2.92358717546, 2218.75710418680],
|
|
[0.004, 2.22141015932, 33967.99229491319],
|
|
[0.005, 5.74788858603, 52182.91983014920],
|
|
[0.004, 0.97295961632, 44181.27784112419],
|
|
[0.003, 5.78273085505, 28421.09953444620],
|
|
[0.003, 3.65975480266, 99799.65906923798],
|
|
[0.004, 3.98623592167, 26727.80042788820],
|
|
[0.003, 2.65056124435, 76674.63652943878],
|
|
[0.003, 4.91152657563, 47623.85278608960],
|
|
[0.004, 1.60135504353, 77734.01845962799],
|
|
[0.003, 0.26868606771, 78244.03966382280],
|
|
[0.003, 4.58298191655, 1066.49547719000],
|
|
[0.003, 4.04696774318, 18093.37469954999],
|
|
[0.003, 1.04981780528, 94138.32702008578],
|
|
[0.003, 0.82425633309, 73711.75592766379],
|
|
[0.003, 5.12180734718, 1052.26838318840],
|
|
[0.003, 1.58544193974, 51109.31080595839],
|
|
[0.003, 0.22337858409, 124778.18365871879],
|
|
[0.003, 3.08207297479, 76044.95232053580],
|
|
[0.003, 6.26000429251, 853.19638175200],
|
|
[0.003, 3.89747679105, 64741.95798313119],
|
|
[0.003, 1.86869273254, 52602.40447402440],
|
|
[0.004, 0.01480665337, 7.11354700080],
|
|
[0.003, 1.95420622178, 103396.01282468818],
|
|
[0.003, 6.00022344367, 29416.03879785439],
|
|
[0.003, 1.05827389660, 51123.53789995999],
|
|
[0.003, 3.93336187090, 104881.30353139139],
|
|
[0.002, 4.80666683935, 88476.99497093359],
|
|
[0.002, 2.56919394798, 51962.50718771040],
|
|
[0.002, 5.19328838214, 91785.46086631398],
|
|
[0.003, 4.94448744333, 44937.13069154840],
|
|
[0.002, 0.39272598961, 23754.70674870219],
|
|
[0.003, 3.64926786888, 78267.59076008058],
|
|
[0.002, 1.93776267237, 117873.36400788819],
|
|
[0.002, 0.16310879863, 28206.66700195260],
|
|
[0.002, 2.74232958068, 52290.24557183361],
|
|
[0.002, 1.94114905421, 7994.52844202420],
|
|
[0.002, 0.39437121176, 125887.56221081219],
|
|
[0.002, 1.03418813348, 155468.03691925600],
|
|
[0.002, 2.06866763231, 339142.74084046460],
|
|
[0.002, 1.29912216629, 105410.99449648599],
|
|
[0.002, 0.54124189090, 74821.13447975718],
|
|
[0.002, 2.12346357366, 65697.55772473979],
|
|
[0.002, 2.54143985834, 78270.82297172339],
|
|
[0.002, 4.87063627681, 35191.81013569180],
|
|
[0.002, 0.51631216786, 71492.99882347698],
|
|
[0.002, 0.73976887550, 18207.81398823521],
|
|
[0.002, 5.50150244414, 78283.37918562238],
|
|
[0.002, 4.78661791721, 78477.00852016058],
|
|
[0.002, 4.40683761496, 103821.92160120218],
|
|
[0.002, 3.07092516027, 78256.59587772179],
|
|
[0.002, 5.01301614244, 3442.57494496540],
|
|
[0.002, 2.58799752737, 181505.94343892598],
|
|
[0.002, 4.95243490606, 129483.91596626239],
|
|
[0.002, 4.12821833516, 77211.44104153418],
|
|
[0.002, 4.05475453577, 120226.23016165999],
|
|
[0.002, 3.34041291655, 151975.46535238638],
|
|
[0.002, 3.27812728356, 51322.60990139639],
|
|
[0.002, 4.06092192484, 77837.11123384659],
|
|
[0.002, 5.22546741404, 162188.75089859738],
|
|
[0.002, 5.57497617017, 71980.63357473118],
|
|
[0.002, 1.86655156569, 23439.44831610119],
|
|
[0.002, 4.79020891265, 15874.61759536320],
|
|
[0.002, 2.43202419279, 45892.73043315699],
|
|
[0.001, 4.91443985635, 78690.30761559859],
|
|
[0.002, 2.55186486587, 39609.65458316560],
|
|
[0.002, 2.04705904795, 433.71173787680],
|
|
[0.001, 6.06582167254, 102132.85546210999],
|
|
[0.002, 0.36512406083, 6283.07584999140],
|
|
[0.002, 5.96418661485, 78050.41032928458],
|
|
[0.001, 0.66730245858, 58458.88213313979],
|
|
[0.001, 2.46652537811, 98068.53671630539],
|
|
[0.002, 3.24884087108, 150866.08680029298],
|
|
[0.002, 0.33626385981, 52061.36699446317],
|
|
[0.001, 1.58214319162, 114564.89811250778],
|
|
[0.001, 1.86505965946, 27140.17152476259],
|
|
[0.001, 4.70954784660, 77197.21394753258],
|
|
[0.001, 3.30080224324, 104331.94280539699],
|
|
[0.002, 2.15014442693, 78259.82808936459],
|
|
[0.001, 4.16909637294, 51742.09454527159],
|
|
[0.002, 0.61993180902, 130969.20667296558],
|
|
[0.001, 5.64166202504, 81706.28436968799],
|
|
[0.001, 1.28449131177, 27154.39861876420],
|
|
[0.001, 0.20716724934, 131548.89425996438],
|
|
[0.001, 5.01586042695, 105460.99111839019],
|
|
[0.001, 2.20142137730, 104371.28232719658],
|
|
[0.001, 0.71547903080, 103925.01437542078],
|
|
[0.001, 1.69298852699, 71025.03383312259],
|
|
[0.002, 1.01857337375, 93028.94846799239],
|
|
[0.002, 0.99564225222, 129909.82474277639],
|
|
[0.001, 3.04953117213, 26941.09952332620],
|
|
[0.001, 1.54774252742, 104564.91166173479],
|
|
[0.001, 1.29736654025, 26241.68195205900],
|
|
[0.002, 0.39879309478, 104355.49390165479],
|
|
[0.001, 1.73442408485, 64607.84893354619],
|
|
[0.001, 3.52887677711, 97580.90196505119],
|
|
[0.001, 3.55488474055, 84546.78527471398],
|
|
[0.001, 2.68991734615, 59414.48187474840],
|
|
[0.001, 2.23301107736, 107794.18751126219],
|
|
[0.001, 6.04185199127, 104344.49901929598],
|
|
[0.001, 2.33178230942, 108903.56606335558],
|
|
[0.001, 5.23291332097, 134991.46920492980],
|
|
[0.001, 5.42420842294, 79852.78232000639],
|
|
[0.001, 5.56485897392, 104358.72611329758],
|
|
[0.001, 2.03042058117, 76144.94556434419],
|
|
[0.001, 4.42403586918, 25021.40766438420],
|
|
[0.001, 4.07362401058, 181555.94006083018],
|
|
[0.001, 4.39544806298, 131498.89763806018],
|
|
[0.001, 3.37653548744, 22759.76748529401],
|
|
[0.001, 3.34598726101, 24864.08530079559],
|
|
[0.001, 0.81949463309, 52815.70356946240],
|
|
[0.001, 4.13026377404, 2648.45482547300],
|
|
[0.001, 1.40701146170, 103285.11708910679],
|
|
[0.001, 2.72338212355, 419.48464387520],
|
|
[0.001, 2.86239729930, 63498.47038145279],
|
|
[0.001, 4.60118276053, 19804.82729158280],
|
|
[0.001, 3.76488909896, 51749.20809227239],
|
|
[0.001, 5.71167880995, 78378.14871340781],
|
|
[0.001, 3.11068504003, 54294.57014352679],
|
|
[0.001, 5.17191010522, 1596.18644228460],
|
|
[0.001, 0.84666659977, 26037.90651966999],
|
|
[0.001, 1.27214241387, 39743.76363275060],
|
|
[0.001, 3.62572271343, 51756.32163927320],
|
|
[0.001, 0.99401491673, 50579.61984086379],
|
|
[0.001, 2.65940437112, 79219.30916633119],
|
|
[0.001, 2.78122688424, 157636.79740153858],
|
|
[0.001, 5.02865728622, 365230.64398203877],
|
|
[0.001, 4.26629771518, 26724.89941359840],
|
|
[0.001, 0.69459147389, 90829.86112470538],
|
|
[0.001, 3.74834736873, 44295.71712980940],
|
|
[0.001, 2.67181600104, 5327.47610838280],
|
|
[0.001, 5.10769130141, 58946.51688439399],
|
|
[0.001, 0.55503171074, 69159.80243060499],
|
|
[0.001, 4.68391610322, 90695.75207512038],
|
|
[0.001, 5.17372763616, 149.56319713460],
|
|
[0.001, 5.26044215633, 25934.12433108940],
|
|
[0.001, 5.13679156205, 104347.73123093879],
|
|
[0.001, 0.91197645609, 103299.34418310839],
|
|
[0.001, 5.89466975855, 27311.72098235281],
|
|
[0.001, 0.91206378451, 77829.99768684579],
|
|
[0.001, 0.82686052448, 146314.13330323418],
|
|
[0.001, 5.01041490382, 25450.90686955000],
|
|
[0.001, 0.74891931364, 10021.83728009940],
|
|
[0.001, 3.75910629606, 25619.93815121980],
|
|
[0.001, 1.57855828108, 61279.71327726600],
|
|
[0.001, 5.22196769252, 77623.81213840858],
|
|
[0.001, 5.44280337360, 52643.77127350280],
|
|
[0.001, 3.38760463430, 49842.60989027639],
|
|
[0.001, 4.04176416141, 25565.32572348040],
|
|
[0.001, 1.99169557218, 105940.68546158058],
|
|
[0.001, 2.40126368211, 26555.86813192860],
|
|
[0.001, 3.28153684541, 78149.27013603736],
|
|
[0.001, 1.50606534242, 50593.84693486539],
|
|
[0.001, 4.99390846744, 143961.26714946239],
|
|
[0.001, 4.36279289081, 70269.18098269838],
|
|
[0.001, 0.56330446870, 29428.51556827400],
|
|
[0.001, 1.96827343473, 188276.65404017159],
|
|
[0.001, 6.14024093350, 3328.13565628019],
|
|
[0.001, 4.38278455115, 52329.58509363319],
|
|
[0.001, 5.32677211586, 26137.89976347840],
|
|
[0.001, 5.49001686286, 7880.08915333899],
|
|
[0.001, 2.08096369099, 26610.48055966799],
|
|
[0.001, 2.81808749734, 54509.00267602040],
|
|
[0.001, 3.85620334673, 26624.70765366959],
|
|
[0.001, 1.15157832957, 536.80451209540],
|
|
[0.001, 3.62974919098, 130012.91751699499],
|
|
[0.001, 0.35977888560, 105307.21230790539],
|
|
[0.001, 2.75970257539, 55503.94193942859],
|
|
[0.001, 3.95087871071, 119116.85160956658],
|
|
[0.001, 2.02746284465, 85034.42002596818],
|
|
[0.001, 0.01631363612, 25668.41849769900],
|
|
[0.001, 4.69497491223, 1581.95934828300],
|
|
[0.001, 4.43589881789, 53242.30176033840],
|
|
[0.001, 0.02851648548, 213.29909543800],
|
|
[0.001, 2.42155941603, 25551.09862947879],
|
|
[0.001, 4.51335885923, 12546.48193908300],
|
|
[0.001, 3.07012190290, 104138.31347085879],
|
|
[0.001, 4.25105785914, 65831.66677432480],
|
|
[0.001, 0.26591217377, 89586.37352302698],
|
|
[0.001, 3.25491459524, 46848.33017476560],
|
|
[0.001, 5.00501348827, 51639.00177105299],
|
|
[0.000, 5.50334834007, 124156.43985787958],
|
|
[0.000, 4.83101429854, 76.26607127560],
|
|
[0.000, 4.34030366776, 80482.46652890938],
|
|
[0.001, 3.55161443787, 116917.76426627958],
|
|
[0.000, 4.96302997387, 26521.61487945100],
|
|
[0.001, 0.12176395772, 6681.22485339960],
|
|
[0.001, 0.06932929209, 48847.67062686820],
|
|
[0.001, 0.08695556653, 26507.38778544939],
|
|
[0.000, 1.50601747714, 632.78373931320],
|
|
[0.000, 3.68453733674, 25035.63475838580],
|
|
[0.000, 2.10077795936, 86143.79857806159],
|
|
[0.000, 2.61352703953, 53399.62412392700],
|
|
[0.000, 0.84481589887, 25881.71759313700],
|
|
[0.000, 3.95854005744, 95247.70557217918],
|
|
[0.001, 4.47600641528, 97112.93697469679],
|
|
[0.001, 0.40812953108, 77844.22478084739],
|
|
[0.000, 4.89912517892, 25984.81036735560],
|
|
[0.000, 5.16843610094, 52698.38370124219],
|
|
[0.000, 3.99449121788, 131395.11544947958],
|
|
[0.000, 5.65446547429, 80596.90581759460],
|
|
],
|
|
# R3
|
|
[
|
|
[32.676, 1.67971635359, 26087.90314157420],
|
|
[24.166, 4.63403168997, 52175.80628314840],
|
|
[12.133, 1.38983781545, 78263.70942472259],
|
|
[5.140, 4.43915386930, 104351.61256629678],
|
|
[1.981, 1.20733880274, 130439.51570787099],
|
|
[1.460, 3.14159265359, 0.00000000000],
|
|
[0.719, 4.25913631362, 156527.41884944518],
|
|
[0.250, 1.02794425848, 182615.32199101939],
|
|
[0.084, 4.08008618813, 208703.22513259359],
|
|
[0.028, 0.85051616237, 234791.12827416777],
|
|
[0.023, 1.60029451014, 24978.52458948080],
|
|
[0.011, 4.58074493182, 27197.28169366760],
|
|
[0.012, 4.65878660390, 51066.42773105500],
|
|
[0.009, 3.90622332667, 260879.03141574195],
|
|
[0.005, 1.43247327249, 77154.33087262919],
|
|
[0.004, 1.37106678794, 53285.18483524180],
|
|
[0.003, 0.67217979275, 286966.93455731618],
|
|
[0.002, 5.31135121818, 20426.57109242200],
|
|
[0.002, 1.54812921017, 1109.37855209340],
|
|
[0.002, 4.48222146022, 103242.23401420339],
|
|
[0.002, 0.20057520755, 1059.38193018920],
|
|
[0.002, 4.21865197056, 25132.30339996560],
|
|
[0.001, 2.11997334018, 46514.47423399620],
|
|
[0.001, 3.24267833975, 27147.28507176339],
|
|
[0.001, 1.33238537892, 1589.07289528380],
|
|
[0.001, 5.14405498793, 72602.37737557039],
|
|
[0.001, 6.14595652541, 26617.59410666880],
|
|
[0.001, 3.90494988936, 4551.95349705880],
|
|
[0.001, 2.85134614467, 14765.23904326980],
|
|
[0.001, 3.74339959279, 313054.83769889036],
|
|
[0.001, 2.82234410581, 52705.49724824299],
|
|
[0.001, 1.70132625273, 23869.14603738740],
|
|
[0.001, 1.44102444460, 27043.50288318280],
|
|
[0.001, 1.25358423340, 129330.13715577759],
|
|
[0.001, 0.32054002273, 9103.90699411760],
|
|
[0.001, 0.90273607509, 51220.20654153979],
|
|
[0.001, 4.28935605425, 27676.97603685800],
|
|
[0.001, 4.41206223998, 79373.08797681599],
|
|
[0.001, 3.23518929162, 26301.20223701220],
|
|
[0.001, 2.25667255668, 21535.94964451540],
|
|
[0.001, 4.70414203873, 50586.73338786459],
|
|
[0.001, 1.88608259832, 98690.28051714458],
|
|
[0.001, 5.90420893056, 40853.14218484400],
|
|
[0.001, 4.46892853356, 53131.40602475700],
|
|
[0.001, 3.83684899837, 77308.10968311399],
|
|
[0.001, 1.31974603498, 54394.56338733519],
|
|
[0.001, 0.74728939443, 32858.61374281979],
|
|
[0.001, 6.27673970277, 53235.18821333759],
|
|
[0.001, 4.14814578610, 29530.47808653960],
|
|
[0.001, 0.87302135775, 83925.04147387479],
|
|
[0.001, 5.20339566427, 26068.23338067440],
|
|
[0.001, 2.88631079597, 79323.09135491178],
|
|
[0.001, 5.39853672849, 19317.19254032860],
|
|
[0.001, 5.73721596586, 78793.40038981718],
|
|
[0.000, 1.85241611022, 25973.46385288896],
|
|
[0.000, 4.31134434847, 26202.34243025941],
|
|
[0.000, 4.74305205780, 49957.04917896160],
|
|
[0.001, 3.87802524387, 82815.66292178139],
|
|
[0.000, 4.28937691652, 155418.04029735178],
|
|
[0.001, 3.35625397389, 37410.56723987860],
|
|
[0.000, 2.00313301846, 22645.32819660879],
|
|
[0.000, 2.49236829957, 25028.52121138500],
|
|
[0.000, 0.01947787727, 25558.21217647960],
|
|
[0.001, 4.13825019881, 3442.57494496540],
|
|
[0.000, 2.81832388305, 25874.60404613620],
|
|
[0.000, 2.53416253042, 12566.15169998280],
|
|
[0.001, 4.46169102731, 28306.66024576099],
|
|
[0.001, 2.16986592809, 45405.09568190280],
|
|
[0.000, 2.27621739263, 26091.78447693220],
|
|
[0.000, 1.95034764539, 52156.13652224860],
|
|
[0.000, 4.03054078678, 30639.85663863300],
|
|
[0.000, 5.76722418743, 43071.89928903080],
|
|
[0.000, 4.12739704581, 26107.57290247399],
|
|
[0.000, 1.37713138665, 31749.23519072640],
|
|
[0.001, 3.54716896556, 51646.11531805379],
|
|
[0.000, 3.39161595850, 36301.18868778519],
|
|
[0.000, 4.34410863436, 57837.13833230060],
|
|
[0.000, 5.62082960690, 639.89728631400],
|
|
[0.000, 3.16268062826, 529.69096509460],
|
|
[0.000, 0.77186843357, 26084.02180621620],
|
|
[0.000, 3.78612072314, 110012.94461544899],
|
|
[0.000, 5.50453358586, 51116.42435295920],
|
|
[0.000, 0.04709131420, 52389.10537858640],
|
|
[0.000, 3.93991894858, 6770.71060124560],
|
|
[0.000, 1.41961180167, 76674.63652943878],
|
|
[0.000, 2.61258742182, 66941.04532641819],
|
|
[0.000, 0.70544164813, 426.59819087600],
|
|
[0.000, 0.91883551986, 55618.38122811380],
|
|
[0.000, 5.30612883135, 52179.68761850640],
|
|
[0.000, 2.00604152518, 2118.76386037840],
|
|
[0.000, 1.08640210817, 56727.75978020720],
|
|
[0.000, 3.92743267498, 58946.51688439399],
|
|
[0.000, 5.52202827702, 38654.05484155699],
|
|
[0.000, 1.57363600114, 24498.83024629040],
|
|
[0.000, 3.49522546958, 5661.33204915220],
|
|
[0.000, 0.63375195581, 51535.90899683439],
|
|
[0.000, 1.34305878069, 105460.99111839019],
|
|
[0.000, 0.44820055565, 339142.74084046460],
|
|
[0.000, 1.39951362362, 2218.75710418680],
|
|
[0.000, 0.63311095079, 18849.22754997420],
|
|
[0.000, 0.82120127326, 52195.47604404819],
|
|
[0.000, 2.78211363987, 47623.85278608960],
|
|
[0.000, 0.94752126944, 53764.87917843220],
|
|
[0.000, 3.75988526858, 52171.92494779040],
|
|
[0.000, 0.44351435910, 136100.84775702318],
|
|
[0.000, 1.44824925227, 76044.95232053580],
|
|
[0.000, 4.83985082201, 78244.03966382280],
|
|
[0.000, 0.04522486479, 62389.09182935939],
|
|
[0.000, 6.28144869714, 213.29909543800],
|
|
[0.000, 5.17875557687, 955.59974160860],
|
|
[0.000, 4.62674052433, 52168.69273614759],
|
|
[0.000, 2.19907823066, 77204.32749453338],
|
|
[0.000, 3.40216597806, 26514.50133245020],
|
|
[0.000, 2.89630853457, 13655.86049117640],
|
|
[0.000, 3.92639394174, 50057.04242277000],
|
|
[0.000, 0.27991454535, 11322.66409830440],
|
|
[0.000, 5.63968341805, 103292.23063610759],
|
|
[0.000, 1.86829495425, 48733.23133818299],
|
|
[0.000, 5.77443179008, 105410.99449648599],
|
|
],
|
|
# R4
|
|
[
|
|
[0.394, 0.36735403840, 26087.90314157420],
|
|
[0.387, 3.18568771507, 52175.80628314840],
|
|
[0.270, 6.16983616444, 78263.70942472259],
|
|
[0.149, 2.91591904641, 104351.61256629678],
|
|
[0.071, 5.95867889641, 130439.51570787099],
|
|
[0.031, 2.72386700044, 156527.41884944518],
|
|
[0.017, 0.00000000000, 0.00000000000],
|
|
[0.012, 5.77775334056, 182615.32199101939],
|
|
[0.005, 2.54506442647, 208703.22513259359],
|
|
[0.002, 5.59978443851, 234791.12827416777],
|
|
[0.001, 2.33785160871, 260879.03141574195],
|
|
[0.000, 5.37943916893, 286966.93455731618],
|
|
[0.000, 3.09643524101, 51066.42773105500],
|
|
[0.000, 0.09342858750, 24978.52458948080],
|
|
[0.000, 6.02837115675, 53285.18483524180],
|
|
[0.000, 6.13600004668, 77154.33087262919],
|
|
[0.000, 2.93310416266, 27197.28169366760],
|
|
[0.000, 2.89897922039, 103242.23401420339],
|
|
],
|
|
# R5
|
|
[
|
|
[0.006, 3.98900269603, 26087.90314157420],
|
|
[0.006, 1.55248278782, 52175.80628314840],
|
|
[0.005, 4.65461721116, 78263.70942472259],
|
|
[0.004, 1.40238366492, 104351.61256629678],
|
|
[0.002, 4.44231488663, 130439.51570787099],
|
|
[0.001, 3.14159265359, 0.00000000000],
|
|
[0.001, 1.21278177664, 156527.41884944518],
|
|
[0.001, 4.26149026340, 182615.32199101939],
|
|
[0.000, 0.99831133595, 208703.22513259359],
|
|
[0.000, 4.00267064210, 234791.12827416777],
|
|
],
|
|
]
|
|
"""This table contains Mercury's periodic terms (all of them) from the
|
|
planetary theory VSOP87 for the radius vector at the equinox of date (taken
|
|
from the 'D' solution). In Meeus' book a shortened version can be found in page
|
|
416."""
|
|
|
|
|
|
ORBITAL_ELEM = [
|
|
[252.250906, 149474.0722491, 0.0003035, 0.000000018], # L
|
|
[0.38709831, 0.0, 0.0, 0.0], # a
|
|
[0.20563175, 0.000020407, -0.0000000283, -0.00000000018], # e
|
|
[7.004986, 0.0018215, -0.0000181, 0.000000056], # i
|
|
[48.330893, 1.1861883, 0.00017542, 0.000000215], # Omega
|
|
[77.456119, 1.5564776, 0.00029544, 0.000000009] # pie
|
|
]
|
|
"""This table contains the parameters to compute Mercury's orbital elements for
|
|
the mean equinox of date. Based in Table 31.A, page 212"""
|
|
|
|
|
|
ORBITAL_ELEM_J2000 = [
|
|
[252.250906, 149472.6746358, -0.00000536, 0.000000002], # L
|
|
[7.004986, -0.0059516, 0.0000008, 0.000000043], # i
|
|
[48.330893, -0.1254227, -0.00008833, -0.0000002], # Omega
|
|
[77.456119, 0.1588643, -0.00001342, -0.000000007] # pie
|
|
]
|
|
"""This table contains the parameters to compute Mercury's orbital elements for
|
|
the standard equinox J2000.0. Based on Table 31.B, page 214"""
|
|
|
|
|
|
class Mercury(object):
|
|
"""
|
|
Class Mercury models that planet.
|
|
"""
|
|
|
|
@staticmethod
|
|
def geometric_heliocentric_position(epoch, tofk5=True):
|
|
"""This method computes the geometric heliocentric position of planet
|
|
Mercury for a given epoch, using the VSOP87 theory.
|
|
|
|
:param epoch: Epoch to compute Mercury position, as an Epoch object
|
|
:type epoch: :py:class:`Epoch`
|
|
:param tofk5: Whether or not the small correction to convert to the FK5
|
|
system will be applied or not
|
|
:type tofk5: bool
|
|
|
|
:returns: A tuple with the heliocentric longitude and latitude (as
|
|
:py:class:`Angle` objects), and the radius vector (as a float,
|
|
in astronomical units), in that order
|
|
:rtype: tuple
|
|
:raises: TypeError if input values are of wrong type.
|
|
|
|
>>> epoch = Epoch(2018, 10, 27.0)
|
|
>>> l, b, r = Mercury.geometric_heliocentric_position(epoch)
|
|
>>> print(round(l.to_positive(), 4))
|
|
287.4887
|
|
>>> print(round(b, 4))
|
|
-6.0086
|
|
>>> print(round(r, 5))
|
|
0.45113
|
|
"""
|
|
|
|
return geometric_vsop_pos(epoch, VSOP87_L, VSOP87_B, VSOP87_R, tofk5)
|
|
|
|
@staticmethod
|
|
def apparent_heliocentric_position(epoch):
|
|
"""This method computes the apparent heliocentric position of planet
|
|
Mercury for a given epoch, using the VSOP87 theory.
|
|
|
|
:param epoch: Epoch to compute Mercury position, as an Epoch object
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: A tuple with the heliocentric longitude and latitude (as
|
|
:py:class:`Angle` objects), and the radius vector (as a float,
|
|
in astronomical units), in that order
|
|
:rtype: tuple
|
|
:raises: TypeError if input values are of wrong type.
|
|
"""
|
|
|
|
return apparent_vsop_pos(epoch, VSOP87_L, VSOP87_B, VSOP87_R)
|
|
|
|
@staticmethod
|
|
def orbital_elements_mean_equinox(epoch):
|
|
"""This method computes the orbital elements of Mercury for the mean
|
|
equinox of the date for a given epoch.
|
|
|
|
:param epoch: Epoch to compute orbital elements, as an Epoch object
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: A tuple containing the following six orbital elements:
|
|
- Mean longitude of the planet (Angle)
|
|
- Semimajor axis of the orbit (float, astronomical units)
|
|
- eccentricity of the orbit (float)
|
|
- inclination on the plane of the ecliptic (Angle)
|
|
- longitude of the ascending node (Angle)
|
|
- argument of the perihelion (Angle)
|
|
:rtype: tuple
|
|
:raises: TypeError if input values are of wrong type.
|
|
|
|
>>> epoch = Epoch(2065, 6, 24.0)
|
|
>>> l, a, e, i, ome, arg = Mercury.orbital_elements_mean_equinox(epoch)
|
|
>>> print(round(l, 6))
|
|
203.494701
|
|
>>> print(round(a, 8))
|
|
0.38709831
|
|
>>> print(round(e, 7))
|
|
0.2056451
|
|
>>> print(round(i, 6))
|
|
7.006171
|
|
>>> print(round(ome, 5))
|
|
49.10765
|
|
>>> print(round(arg, 6))
|
|
29.367732
|
|
"""
|
|
|
|
return orbital_elements(epoch, ORBITAL_ELEM, ORBITAL_ELEM)
|
|
|
|
@staticmethod
|
|
def orbital_elements_j2000(epoch):
|
|
"""This method computes the orbital elements of Mercury for the
|
|
standard equinox J2000.0 for a given epoch.
|
|
|
|
:param epoch: Epoch to compute orbital elements, as an Epoch object
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: A tuple containing the following six orbital elements:
|
|
- Mean longitude of the planet (Angle)
|
|
- Semimajor axis of the orbit (float, astronomical units)
|
|
- eccentricity of the orbit (float)
|
|
- inclination on the plane of the ecliptic (Angle)
|
|
- longitude of the ascending node (Angle)
|
|
- argument of the perihelion (Angle)
|
|
:rtype: tuple
|
|
:raises: TypeError if input values are of wrong type.
|
|
|
|
>>> epoch = Epoch(2065, 6, 24.0)
|
|
>>> l, a, e, i, ome, arg = Mercury.orbital_elements_j2000(epoch)
|
|
>>> print(round(l, 6))
|
|
202.579453
|
|
>>> print(round(a, 8))
|
|
0.38709831
|
|
>>> print(round(e, 7))
|
|
0.2056451
|
|
>>> print(round(i, 6))
|
|
7.001089
|
|
>>> print(round(ome, 5))
|
|
48.24873
|
|
>>> print(round(arg, 6))
|
|
29.311401
|
|
"""
|
|
|
|
return orbital_elements(epoch, ORBITAL_ELEM, ORBITAL_ELEM_J2000)
|
|
|
|
@staticmethod
|
|
def geocentric_position(epoch):
|
|
"""This method computes the geocentric position of Mercury (right
|
|
ascension and declination) for the given epoch, as well as the
|
|
elongation angle.
|
|
|
|
:param epoch: Epoch to compute geocentric position, as an Epoch object
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: A tuple containing the right ascension, the declination and
|
|
the elongation angle as Angle objects
|
|
:rtype: tuple
|
|
:raises: TypeError if input value is of wrong type.
|
|
|
|
>>> epoch = Epoch(1992, 12, 20.0)
|
|
>>> ra, dec, elon = Mercury.geocentric_position(epoch)
|
|
>>> print(ra.ra_str(n_dec=1))
|
|
16h 33' 59.3''
|
|
>>> print(dec.dms_str(n_dec=1))
|
|
-20d 53' 31.6''
|
|
>>> print(elon.dms_str(n_dec=1))
|
|
18d 24' 29.8''
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Compute the heliocentric position of Mercury
|
|
l, b, r = Mercury.geometric_heliocentric_position(epoch, tofk5=False)
|
|
# Compute the heliocentric position of the Earth
|
|
l0, b0, r0 = Earth.geometric_heliocentric_position(epoch, tofk5=False)
|
|
# Convert to radians
|
|
lr = l.rad()
|
|
br = b.rad()
|
|
l0r = l0.rad()
|
|
b0r = b0.rad()
|
|
# Compute first iteration
|
|
x = r * cos(br) * cos(lr) - r0 * cos(b0r) * cos(l0r)
|
|
y = r * cos(br) * sin(lr) - r0 * cos(b0r) * sin(l0r)
|
|
z = r * sin(br) - r0 * sin(b0r)
|
|
delta = sqrt(x * x + y * y + z * z)
|
|
tau = 0.0057755183 * delta
|
|
# Adjust the epoch for light-time
|
|
epoch -= tau
|
|
# Compute again Mercury coordinates with this correction
|
|
l, b, r = Mercury.geometric_heliocentric_position(epoch, tofk5=False)
|
|
# Compute second iteration
|
|
lr = l.rad()
|
|
br = b.rad()
|
|
x = r * cos(br) * cos(lr) - r0 * cos(b0r) * cos(l0r)
|
|
y = r * cos(br) * sin(lr) - r0 * cos(b0r) * sin(l0r)
|
|
z = r * sin(br) - r0 * sin(b0r)
|
|
# Compute longitude and latitude
|
|
lamb = atan2(y, x)
|
|
beta = atan2(z, sqrt(x * x + y * y))
|
|
# Now, let's compute the aberration effect
|
|
t = (epoch - JDE2000) / 36525
|
|
e = 0.016708634 + t * (-0.000042037 - t * 0.0000001267)
|
|
pie = 102.93735 + t * (1.71946 + t * 0.00046)
|
|
pie = radians(pie)
|
|
lon = l0 + 180.0
|
|
lon = lon.rad()
|
|
k = 20.49552 # The constant of aberration
|
|
deltal1 = k * (-cos(lon - lamb) + e * cos(pie - lamb)) / cos(beta)
|
|
deltab1 = -k * sin(beta) * (sin(lon - lamb) - e * sin(pie - lamb))
|
|
deltal1 = Angle(0, 0, deltal1)
|
|
deltab1 = Angle(0, 0, deltab1)
|
|
# Correction to FK5 system
|
|
lamb = Angle(lamb, radians=True)
|
|
lamb = lamb.to_positive()
|
|
beta = Angle(beta, radians=True)
|
|
l_prime = lamb - t * (1.397 + t * 0.00031)
|
|
deltal2 = Angle(0, 0, -0.09033)
|
|
a = 0.03916 * (cos(l_prime.rad()) + sin(l_prime.rad()))
|
|
a = a * tan(b.rad())
|
|
deltal2 += Angle(0, 0, a)
|
|
deltab2 = 0.03916 * (cos(l_prime.rad()) - sin(l_prime.rad()))
|
|
deltab2 = Angle(0, 0, deltab2)
|
|
# Apply the corrections
|
|
lamb = lamb + deltal1 + deltal2
|
|
beta = beta + deltab1 + deltab2
|
|
# Correction for nutation
|
|
dpsi = nutation_longitude(epoch)
|
|
lamb += dpsi
|
|
e = true_obliquity(epoch)
|
|
ra, dec = ecliptical2equatorial(lamb, beta, e)
|
|
# Let's compute the elongation angle
|
|
lons, lats, rs = Sun.apparent_geocentric_position(epoch)
|
|
lambr = lamb.rad()
|
|
lsr = lons.rad()
|
|
betar = beta.rad()
|
|
elon = acos(cos(betar) * cos(lambr - lsr))
|
|
elon = Angle(elon, radians=True)
|
|
return ra, dec, elon
|
|
|
|
@staticmethod
|
|
def inferior_conjunction(epoch):
|
|
"""This method computes the time of the inferior conjunction closest to
|
|
the given epoch.
|
|
|
|
:param epoch: Epoch close to the desired inferior conjunction
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: The time when the inferior conjunction happens, as an Epoch
|
|
:rtype: :py:class:`Epoch`
|
|
:raises: TypeError if input value is of wrong type.
|
|
:raises: ValueError if input epoch outside the -2000/4000 range.
|
|
|
|
>>> epoch = Epoch(1993, 10, 1.0)
|
|
>>> conjunction = Mercury.inferior_conjunction(epoch)
|
|
>>> y, m, d = conjunction.get_date()
|
|
>>> print(y)
|
|
1993
|
|
>>> print(m)
|
|
11
|
|
>>> print(round(d, 4))
|
|
6.1449
|
|
>>> epoch = Epoch(1631, 10, 1.0)
|
|
>>> conjunction = Mercury.inferior_conjunction(epoch)
|
|
>>> y, m, d = conjunction.get_date()
|
|
>>> print(y)
|
|
1631
|
|
>>> print(m)
|
|
11
|
|
>>> print(round(d, 3))
|
|
7.306
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Check that the input epoch is within valid range
|
|
y = epoch.year()
|
|
if y < -2000.0 or y > 4000.0:
|
|
raise ValueError("Epoch outside the -2000/4000 range")
|
|
# Set some specific constants for Mercury's inferior conjunction
|
|
a = 2451612.023
|
|
b = 115.8774771
|
|
m0 = 63.5867
|
|
m1 = 114.2088742
|
|
k = round((365.2425 * y + 1721060.0 - a) / b)
|
|
jde0 = a + k * b
|
|
m = m0 + k * m1
|
|
m = Angle(m).to_positive()
|
|
m = m.rad()
|
|
t = (jde0 - 2451545.0) / 36525.0
|
|
corr = (0.0545 + 0.0002 * t +
|
|
sin(m) * (-6.2008 + t * (0.0074 + t * 0.00003)) +
|
|
cos(m) * (-3.275 + t * (-0.0197 + t * 0.00001)) +
|
|
sin(2.0 * m) * (0.4737 + t * (-0.0052 - t * 0.00001)) +
|
|
cos(2.0 * m) * (0.8111 + t * (0.0033 - t * 0.00002)) +
|
|
sin(3.0 * m) * (0.0037 + t * 0.0018) +
|
|
cos(3.0 * m) * (-0.1768 + t * t * 0.00001) +
|
|
sin(4.0 * m) * (-0.0211 - t * 0.0004) +
|
|
cos(4.0 * m) * (0.0326 - t * 0.0003) +
|
|
sin(5.0 * m) * (0.0083 + t * 0.0001) +
|
|
cos(5.0 * m) * (-0.004 + t * 0.0001))
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return)
|
|
|
|
@staticmethod
|
|
def superior_conjunction(epoch):
|
|
"""This method computes the time of the superior conjunction closest to
|
|
the given epoch.
|
|
|
|
:param epoch: Epoch close to the desired superior conjunction
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: The time when the superior conjunction happens, as an Epoch
|
|
:rtype: :py:class:`Epoch`
|
|
:raises: TypeError if input value is of wrong type.
|
|
:raises: ValueError if input epoch outside the -2000/4000 range.
|
|
|
|
>>> epoch = Epoch(1993, 10, 1.0)
|
|
>>> conjunction = Mercury.superior_conjunction(epoch)
|
|
>>> y, m, d = conjunction.get_date()
|
|
>>> print(y)
|
|
1993
|
|
>>> print(m)
|
|
8
|
|
>>> print(round(d, 4))
|
|
29.3301
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Check that the input epoch is within valid range
|
|
y = epoch.year()
|
|
if y < -2000.0 or y > 4000.0:
|
|
raise ValueError("Epoch outside the -2000/4000 range")
|
|
# Set some specific constants for Mercury's superior conjunction
|
|
a = 2451554.084
|
|
b = 115.8774771
|
|
m0 = 6.4822
|
|
m1 = 114.2088742
|
|
k = round((365.2425 * y + 1721060.0 - a) / b)
|
|
jde0 = a + k * b
|
|
m = m0 + k * m1
|
|
m = Angle(m).to_positive()
|
|
m = m.rad()
|
|
t = (jde0 - 2451545.0) / 36525.0
|
|
corr = (-0.0548 - 0.0002 * t +
|
|
sin(m) * (7.3894 + t * (-0.01 - t * 0.00003)) +
|
|
cos(m) * (3.22 + t * (0.0197 - t * 0.00001)) +
|
|
sin(2.0 * m) * (0.8383 + t * (-0.0064 - t * 0.00001)) +
|
|
cos(2.0 * m) * (0.9666 + t * (0.0039 - t * 0.00003)) +
|
|
sin(3.0 * m) * (0.077 - t * 0.0026) +
|
|
cos(3.0 * m) * (0.2758 + t * (0.0002 - t * 0.00002)) +
|
|
sin(4.0 * m) * (-0.0128 - t * 0.0008) +
|
|
cos(4.0 * m) * (0.0734 + t * (-0.0004 - t * 0.00001)) +
|
|
sin(5.0 * m) * (-0.0122 - t * 0.0002) +
|
|
cos(5.0 * m) * (0.0173 - t * 0.0002))
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return)
|
|
|
|
@staticmethod
|
|
def western_elongation(epoch):
|
|
"""This method computes the time of the western elongation closest to
|
|
the given epoch, as well as the corresponding maximum elongation angle.
|
|
|
|
:param epoch: Epoch close to the desired western elongation
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: A tuple with the time when the western elongation happens, as
|
|
an Epoch, and the maximum elongation angle, as an Angle
|
|
:rtype: tuple
|
|
:raises: TypeError if input value is of wrong type.
|
|
:raises: ValueError if input epoch outside the -2000/4000 range.
|
|
|
|
>>> epoch = Epoch(1993, 11, 1.0)
|
|
>>> time, elongation = Mercury.western_elongation(epoch)
|
|
>>> y, m, d = time.get_date()
|
|
>>> print(y)
|
|
1993
|
|
>>> print(m)
|
|
11
|
|
>>> print(round(d, 4))
|
|
22.6386
|
|
>>> print(round(elongation, 4))
|
|
19.7506
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Check that the input epoch is within valid range
|
|
y = epoch.year()
|
|
if y < -2000.0 or y > 4000.0:
|
|
raise ValueError("Epoch outside the -2000/4000 range")
|
|
# Set some specific constants for Mercury's inferior conjunction
|
|
a = 2451612.023
|
|
b = 115.8774771
|
|
m0 = 63.5867
|
|
m1 = 114.2088742
|
|
k = round((365.2425 * y + 1721060.0 - a) / b)
|
|
jde0 = a + k * b
|
|
m = m0 + k * m1
|
|
m = Angle(m).to_positive()
|
|
m = m.rad()
|
|
t = (jde0 - 2451545.0) / 36525.0
|
|
corr = (21.6249 - 0.0002 * t +
|
|
sin(m) * (0.1306 + t * 0.0065) +
|
|
cos(m) * (-2.7661 + t * (-0.0011 + t * 0.00001)) +
|
|
sin(2.0 * m) * (0.2438 + t * (-0.0024 - t * 0.00001)) +
|
|
cos(2.0 * m) * (0.5767 + t * 0.0023) +
|
|
sin(3.0 * m) * (0.1041) +
|
|
cos(3.0 * m) * (-0.0184 + t * 0.0007) +
|
|
sin(4.0 * m) * (-0.0051 - t * 0.0001) +
|
|
cos(4.0 * m) * (0.0048 + t * 0.0001) +
|
|
sin(5.0 * m) * (0.0026) +
|
|
cos(5.0 * m) * (0.0037))
|
|
elon = (22.4143 - 0.0001 * t +
|
|
sin(m) * (4.3651 + t * (-0.0048 - t * 0.00002)) +
|
|
cos(m) * (2.3787 + t * (0.0121 - t * 0.00001)) +
|
|
sin(2.0 * m) * (0.2674 + t * 0.0022) +
|
|
cos(2.0 * m) * (-0.3873 + t * (0.0008 + t * 0.00001)) +
|
|
sin(3.0 * m) * (-0.0369 - t * 0.0001) +
|
|
cos(3.0 * m) * (0.0017 - t * 0.0001) +
|
|
sin(4.0 * m) * (0.0059) +
|
|
cos(4.0 * m) * (0.0061 + t * 0.0001) +
|
|
sin(5.0 * m) * (0.0007) +
|
|
cos(5.0 * m) * (-0.0011))
|
|
elon = Angle(elon).to_positive()
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return), elon
|
|
|
|
@staticmethod
|
|
def eastern_elongation(epoch):
|
|
"""This method computes the time of the eastern elongation closest to
|
|
the given epoch, as well as the corresponding maximum elongation angle.
|
|
|
|
:param epoch: Epoch close to the desired eastern elongation
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: A tuple with the time when the eastern elongation happens, as
|
|
an Epoch, and the maximum elongation angle, as an Angle
|
|
:rtype: tuple
|
|
:raises: TypeError if input value is of wrong type.
|
|
:raises: ValueError if input epoch outside the -2000/4000 range.
|
|
|
|
>>> epoch = Epoch(1990, 8, 1.0)
|
|
>>> time, elongation = Mercury.eastern_elongation(epoch)
|
|
>>> y, m, d = time.get_date()
|
|
>>> print(y)
|
|
1990
|
|
>>> print(m)
|
|
8
|
|
>>> print(round(d, 4))
|
|
11.8514
|
|
>>> print(round(elongation, 4))
|
|
27.4201
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Check that the input epoch is within valid range
|
|
y = epoch.year()
|
|
if y < -2000.0 or y > 4000.0:
|
|
raise ValueError("Epoch outside the -2000/4000 range")
|
|
# Set some specific constants for Mercury's inferior conjunction
|
|
a = 2451612.023
|
|
b = 115.8774771
|
|
m0 = 63.5867
|
|
m1 = 114.2088742
|
|
k = round((365.2425 * y + 1721060.0 - a) / b)
|
|
jde0 = a + k * b
|
|
m = m0 + k * m1
|
|
m = Angle(m).to_positive()
|
|
m = m.rad()
|
|
t = (jde0 - 2451545.0) / 36525.0
|
|
corr = (-21.6101 + 0.0002 * t +
|
|
sin(m) * (-1.9803 + t * (-0.006 + t * 0.00001)) +
|
|
cos(m) * (1.4151 + t * (-0.0072 - t * 0.00001)) +
|
|
sin(2.0 * m) * (0.5528 + t * (-0.0005 - t * 0.00001)) +
|
|
cos(2.0 * m) * (0.2905 + t * (0.0034 + t * 0.00001)) +
|
|
sin(3.0 * m) * (-0.1121 + t * (-0.0001 + t * 0.00001)) +
|
|
cos(3.0 * m) * (-0.0098 - t * 0.0015) +
|
|
sin(4.0 * m) * (0.0192) +
|
|
cos(4.0 * m) * (0.0111 + t * 0.0004) +
|
|
sin(5.0 * m) * (-0.0061) +
|
|
cos(5.0 * m) * (-0.0032 - t * 0.0001))
|
|
elon = (22.4697 +
|
|
sin(m) * (-4.2666 + t * (0.0054 + t * 0.00002)) +
|
|
cos(m) * (-1.8537 - t * 0.0137) +
|
|
sin(2.0 * m) * (0.3598 + t * (0.0008 - t * 0.00001)) +
|
|
cos(2.0 * m) * (-0.068 + t * 0.0026) +
|
|
sin(3.0 * m) * (-0.0524 - t * 0.0003) +
|
|
cos(3.0 * m) * (0.0052 - t * 0.0006) +
|
|
sin(4.0 * m) * (0.0107 + t * 0.0001) +
|
|
cos(4.0 * m) * (-0.0013 + t * 0.0001) +
|
|
sin(5.0 * m) * (-0.0021) +
|
|
cos(5.0 * m) * (0.0003))
|
|
elon = Angle(elon).to_positive()
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return), elon
|
|
|
|
@staticmethod
|
|
def station_longitude_1(epoch):
|
|
"""This method computes the time of the 1st station in longitude
|
|
(i.e. when the planet is stationary and begins to move westward -
|
|
retrograde - among the starts) closest to the given epoch.
|
|
|
|
:param epoch: Epoch close to the desired inferior conjunction
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: Time when the 1st statin in longitude happens, as an Epoch
|
|
:rtype: :py:class:`Epoch`
|
|
:raises: TypeError if input value is of wrong type.
|
|
:raises: ValueError if input epoch outside the -2000/4000 range.
|
|
|
|
>>> epoch = Epoch(1993, 10, 1.0)
|
|
>>> sta1 = Mercury.station_longitude_1(epoch)
|
|
>>> y, m, d = sta1.get_date()
|
|
>>> print(y)
|
|
1993
|
|
>>> print(m)
|
|
10
|
|
>>> print(round(d, 4))
|
|
25.9358
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Check that the input epoch is within valid range
|
|
y = epoch.year()
|
|
if y < -2000.0 or y > 4000.0:
|
|
raise ValueError("Epoch outside the -2000/4000 range")
|
|
# Set some specific constants for Mercury's inferior conjunction
|
|
a = 2451612.023
|
|
b = 115.8774771
|
|
m0 = 63.5867
|
|
m1 = 114.2088742
|
|
k = round((365.2425 * y + 1721060.0 - a) / b)
|
|
jde0 = a + k * b
|
|
m = m0 + k * m1
|
|
m = Angle(m).to_positive()
|
|
m = m.rad()
|
|
t = (jde0 - 2451545.0) / 36525.0
|
|
corr = (-11.0761 + 0.0003 * t +
|
|
sin(m) * (-4.7321 + t * (0.0023 + t * 0.00002)) +
|
|
cos(m) * (-1.323 - t * 0.0156) +
|
|
sin(2.0 * m) * (0.227 - t * 0.0046) +
|
|
cos(2.0 * m) * (0.7184 + t * (0.0013 - t * 0.00002)) +
|
|
sin(3.0 * m) * (0.0638 + t * 0.0016) +
|
|
cos(3.0 * m) * (-0.1655 + t * 0.0007) +
|
|
sin(4.0 * m) * (-0.0395 - t * 0.0003) +
|
|
cos(4.0 * m) * (0.0247 - t * 0.0006) +
|
|
sin(5.0 * m) * (0.0131) +
|
|
cos(5.0 * m) * (-0.0008 + t * 0.0002))
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return)
|
|
|
|
@staticmethod
|
|
def station_longitude_2(epoch):
|
|
"""This method computes the time of the 2nd station in longitude
|
|
(i.e. when the planet is stationary and begins to move eastward -
|
|
prograde - among the starts) closest to the given epoch.
|
|
|
|
:param epoch: Epoch close to the desired inferior conjunction
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: Time when the 2nd station in longitude happens, as an Epoch
|
|
:rtype: :py:class:`Epoch`
|
|
:raises: TypeError if input value is of wrong type.
|
|
:raises: ValueError if input epoch outside the -2000/4000 range.
|
|
|
|
>>> epoch = Epoch(1993, 10, 1.0)
|
|
>>> sta2 = Mercury.station_longitude_2(epoch)
|
|
>>> y, m, d = sta2.get_date()
|
|
>>> print(y)
|
|
1993
|
|
>>> print(m)
|
|
11
|
|
>>> print(round(d, 4))
|
|
15.0724
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Check that the input epoch is within valid range
|
|
y = epoch.year()
|
|
if y < -2000.0 or y > 4000.0:
|
|
raise ValueError("Epoch outside the -2000/4000 range")
|
|
# Set some specific constants for Mercury's inferior conjunction
|
|
a = 2451612.023
|
|
b = 115.8774771
|
|
m0 = 63.5867
|
|
m1 = 114.2088742
|
|
k = round((365.2425 * y + 1721060.0 - a) / b)
|
|
jde0 = a + k * b
|
|
m = m0 + k * m1
|
|
m = Angle(m).to_positive()
|
|
m = m.rad()
|
|
t = (jde0 - 2451545.0) / 36525.0
|
|
corr = (11.1343 - 0.0001 * t +
|
|
sin(m) * (-3.9137 + t * (0.0073 + t * 0.00002)) +
|
|
cos(m) * (-3.3861 + t * (-0.0128 + t * 0.00001)) +
|
|
sin(2.0 * m) * (0.5222 + t * (-0.004 - t * 0.00002)) +
|
|
cos(2.0 * m) * (0.5929 + t * (0.0039 - t * 0.00002)) +
|
|
sin(3.0 * m) * (-0.0593 + t * 0.0018) +
|
|
cos(3.0 * m) * (-0.1733 * t * (-0.0007 + t * 0.00001)) +
|
|
sin(4.0 * m) * (-0.0053 - t * 0.0006) +
|
|
cos(4.0 * m) * (0.0476 - t * 0.0001) +
|
|
sin(5.0 * m) * (0.007 + t * 0.0002) +
|
|
cos(5.0 * m) * (-0.0115 + t * 0.0001))
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return)
|
|
|
|
@staticmethod
|
|
def perihelion_aphelion(epoch, perihelion=True):
|
|
"""This method computes the time of Perihelion (or Aphelion) closer to
|
|
a given epoch.
|
|
|
|
:param epoch: Epoch close to the desired Perihelion (or Aphelion)
|
|
:type epoch: :py:class:`Epoch`
|
|
:param peihelion: If True, the epoch of the closest Perihelion is
|
|
computed, if False, the epoch of the closest Aphelion is found.
|
|
:type bool:
|
|
|
|
:returns: The epoch of the desired Perihelion (or Aphelion)
|
|
:rtype: :py:class:`Epoch`
|
|
:raises: TypeError if input values are of wrong type.
|
|
|
|
>>> epoch = Epoch(2000, 1, 1.0)
|
|
>>> e = Mercury.perihelion_aphelion(epoch)
|
|
>>> y, m, d, h, mi, s = e.get_full_date()
|
|
>>> print(y)
|
|
2000
|
|
>>> print(m)
|
|
2
|
|
>>> print(d)
|
|
15
|
|
>>> print(h)
|
|
18
|
|
>>> epoch = Epoch(2000, 3, 1.0)
|
|
>>> e = Mercury.perihelion_aphelion(epoch, perihelion=False)
|
|
>>> y, m, d, h, mi, s = e.get_full_date()
|
|
>>> print(y)
|
|
2000
|
|
>>> print(m)
|
|
3
|
|
>>> print(d)
|
|
30
|
|
>>> print(h)
|
|
17
|
|
"""
|
|
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input value")
|
|
# First approximation
|
|
k = 4.15201 * (epoch.year() - 2000.12)
|
|
if perihelion:
|
|
k = round(k)
|
|
else:
|
|
k = round(k + 0.5) - 0.5
|
|
jde = 2451590.257 + k * 87.96934963
|
|
# Compute the epochs half a day before and after
|
|
jde_before = jde - 0.5
|
|
jde_after = jde + 0.5
|
|
# Compute the Sun-Mercury distance for each epoch
|
|
l, b, r_b = Mercury.geometric_heliocentric_position(Epoch(jde_before))
|
|
l, b, r = Mercury.geometric_heliocentric_position(Epoch(jde))
|
|
l, b, r_a = Mercury.geometric_heliocentric_position(Epoch(jde_after))
|
|
# Call an interpolation object
|
|
m = Interpolation([jde_before, jde, jde_after], [r_b, r, r_a])
|
|
sol = m.minmax()
|
|
return Epoch(sol)
|
|
|
|
@staticmethod
|
|
def passage_nodes(epoch, ascending=True):
|
|
"""This function computes the time of passage by the nodes (ascending
|
|
or descending) of Mercury, nearest to the given epoch.
|
|
|
|
:param epoch: Epoch closest to the node passage
|
|
:type epoch: :py:class:`Epoch`
|
|
:param ascending: Whether the time of passage by the ascending (True)
|
|
or descending (False) node will be computed
|
|
:type ascending: bool
|
|
|
|
:returns: Tuple containing:
|
|
- Time of passage through the node (:py:class:`Epoch`)
|
|
- Radius vector when passing through the node (in AU, float)
|
|
:rtype: tuple
|
|
:raises: TypeError if input values are of wrong type.
|
|
|
|
>>> epoch = Epoch(2019, 1, 1)
|
|
>>> time, r = Mercury.passage_nodes(epoch)
|
|
>>> year, month, day = time.get_date()
|
|
>>> print(year)
|
|
2018
|
|
>>> print(month)
|
|
11
|
|
>>> print(round(day, 1))
|
|
24.7
|
|
>>> print(round(r, 4))
|
|
0.3143
|
|
"""
|
|
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input types")
|
|
# Get the orbital parameters
|
|
l, a, e, i, ome, arg = Mercury.orbital_elements_mean_equinox(epoch)
|
|
# Compute the time of passage through perihelion
|
|
t = Mercury.perihelion_aphelion(epoch)
|
|
# Get the time of passage through the node
|
|
time, r = passage_nodes_elliptic(arg, e, a, t, ascending)
|
|
return time, r
|
|
|
|
@staticmethod
|
|
def magnitude(sun_dist, earth_dist, phase_angle):
|
|
"""This function computes the approximate magnitude of Mercury.
|
|
|
|
:param sun_dist: Distance from Mercury to Sun, in Astronomical Units
|
|
:type sun_dist: float
|
|
:param earth_dist: Distance Mercury to Earth, in Astronomical Units
|
|
:type earth_dist: float
|
|
:param phase_angle: Mercury phase angle
|
|
:type phase_angle: float, :py:class:`Angle`
|
|
|
|
:returns: Mercury's magnitude
|
|
:rtype: float
|
|
:raises: TypeError if input values are of wrong type.
|
|
"""
|
|
|
|
if not (isinstance(sun_dist, float) and isinstance(earth_dist, float)
|
|
and isinstance(phase_angle, (float, Angle))):
|
|
raise TypeError("Invalid input types")
|
|
i = float(phase_angle)
|
|
i50 = i - 50.0
|
|
m = (1.16 + 5.0 * log10(sun_dist * earth_dist) + 0.02838 * i50 +
|
|
0.0001023 * i50 * i50)
|
|
return round(m, 1)
|
|
|
|
|
|
def main():
|
|
|
|
# Let's define a small helper function
|
|
def print_me(msg, val):
|
|
print("{}: {}".format(msg, val))
|
|
|
|
# Let's show some uses of Mercury class
|
|
print("\n" + 35 * "*")
|
|
print("*** Use of Mercury class")
|
|
print(35 * "*" + "\n")
|
|
|
|
# Let's now compute the heliocentric position for a given epoch
|
|
epoch = Epoch(2018, 10, 27.0)
|
|
lon, lat, r = Mercury.geometric_heliocentric_position(epoch)
|
|
print_me("Geometric Heliocentric Longitude", lon.to_positive())
|
|
print_me("Geometric Heliocentric Latitude", lat)
|
|
print_me("Radius vector", r)
|
|
|
|
print("")
|
|
|
|
# Compute the geocentric position for 1992/12/20:
|
|
epoch = Epoch(1992, 12, 20.0)
|
|
ra, dec, elon = Mercury.geocentric_position(epoch)
|
|
print_me("Right ascension", ra.ra_str(n_dec=1))
|
|
print_me("Declination", dec.dms_str(n_dec=1))
|
|
print_me("Elongation", elon.dms_str(n_dec=1))
|
|
|
|
print("")
|
|
|
|
# Print mean orbital elements for Mercury at 2065.6.24
|
|
epoch = Epoch(2065, 6, 24.0)
|
|
l, a, e, i, ome, arg = Mercury.orbital_elements_mean_equinox(epoch)
|
|
print_me("Mean longitude of the planet", round(l, 6)) # 203.494701
|
|
print_me("Semimajor axis of the orbit (UA)", round(a, 8)) # 0.38709831
|
|
print_me("Eccentricity of the orbit", round(e, 7)) # 0.2056451
|
|
print_me("Inclination on plane of the ecliptic", round(i, 6)) # 7.006171
|
|
print_me("Longitude of the ascending node", round(ome, 5)) # 49.10765
|
|
print_me("Argument of the perihelion", round(arg, 6)) # 29.367732
|
|
|
|
print("")
|
|
|
|
# Compute the time of the inferior conjunction close to 1993/10/1
|
|
epoch = Epoch(1993, 10, 1.0)
|
|
conjunction = Mercury.inferior_conjunction(epoch)
|
|
y, m, d = conjunction.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Inferior conjunction date", date)
|
|
|
|
# Compute the time of the superior conjunction close to 1993/10/1
|
|
epoch = Epoch(1993, 10, 1.0)
|
|
conjunction = Mercury.superior_conjunction(epoch)
|
|
y, m, d = conjunction.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Superior conjunction date", date)
|
|
|
|
print("")
|
|
|
|
# Compute the time and angle of the western elongation close to 1993/11/1
|
|
epoch = Epoch(1993, 11, 1.0)
|
|
time, elongation = Mercury.western_elongation(epoch)
|
|
y, m, d = time.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Western elongation date", date)
|
|
elong = round(elongation, 4)
|
|
print_me("Maximum western elongation angle", elong)
|
|
|
|
print("")
|
|
|
|
# Compute the time and angle of the eastern elongation close to 1990/8/1
|
|
epoch = Epoch(1990, 8, 1.0)
|
|
time, elongation = Mercury.eastern_elongation(epoch)
|
|
y, m, d = time.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Eastern elongation date", date)
|
|
elong = round(elongation, 4)
|
|
print_me("Maximum eastern elongation angle", elong)
|
|
|
|
print("")
|
|
|
|
# Compute the time of the station in longitude #1 close to 1993/10/1
|
|
epoch = Epoch(1993, 10, 1.0)
|
|
sta1 = Mercury.station_longitude_1(epoch)
|
|
y, m, d = sta1.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Date of station in longitude #1", date)
|
|
|
|
# Compute the time of the station in longitude #2 close to 1993/10/1
|
|
epoch = Epoch(1993, 10, 1.0)
|
|
sta2 = Mercury.station_longitude_2(epoch)
|
|
y, m, d = sta2.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Date of station in longitude #2", date)
|
|
|
|
print("")
|
|
|
|
# Find the epoch of the Perihelion closer to 2000/01/01
|
|
epoch = Epoch(2000, 1, 1.0)
|
|
e = Mercury.perihelion_aphelion(epoch)
|
|
y, m, d, h, mi, s = e.get_full_date()
|
|
peri = str(y) + '/' + str(m) + '/' + str(d) + ' at ' + str(h) + ' hours'
|
|
print_me("The Perihelion closest to 2000/1/1 happened on", peri)
|
|
|
|
print("")
|
|
|
|
# Compute the time of passage through an ascending node
|
|
epoch = Epoch(2019, 1, 1)
|
|
time, r = Mercury.passage_nodes(epoch)
|
|
y, m, d = time.get_date()
|
|
d = round(d, 1)
|
|
print("Time of passage through ascending node: {}/{}/{}".format(y, m, d))
|
|
# 2018/11/24.7
|
|
print("Radius vector at ascending node: {}".format(round(r, 4))) # 0.3143
|
|
|
|
|
|
if __name__ == "__main__":
|
|
|
|
main()
|