6644 lines
309 KiB
Python
6644 lines
309 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:: Saturn
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:synopsis: Class to model Saturn 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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[87401354.029, 0.00000000000, 0.00000000000],
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[11107659.780, 3.96205090194, 213.29909543800],
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[1414150.958, 4.58581515873, 7.11354700080],
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[398379.386, 0.52112025957, 206.18554843720],
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[350769.223, 3.30329903015, 426.59819087600],
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[206816.296, 0.24658366938, 103.09277421860],
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[79271.288, 3.84007078530, 220.41264243880],
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[23990.338, 4.66976934860, 110.20632121940],
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[16573.583, 0.43719123541, 419.48464387520],
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[14906.995, 5.76903283845, 316.39186965660],
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[15820.300, 0.93808953760, 632.78373931320],
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[14609.562, 1.56518573691, 3.93215326310],
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[13160.308, 4.44891180176, 14.22709400160],
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[15053.509, 2.71670027883, 639.89728631400],
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[13005.305, 5.98119067061, 11.04570026390],
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[10725.066, 3.12939596466, 202.25339517410],
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[5863.207, 0.23657028777, 529.69096509460],
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[5227.771, 4.20783162380, 3.18139373770],
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[6126.308, 1.76328499656, 277.03499374140],
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[5019.658, 3.17787919533, 433.71173787680],
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[4592.541, 0.61976424374, 199.07200143640],
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[4005.862, 2.24479893937, 63.73589830340],
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[2953.815, 0.98280385206, 95.97922721780],
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[3873.696, 3.22282692566, 138.51749687070],
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[2461.172, 2.03163631205, 735.87651353180],
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[3269.490, 0.77491895787, 949.17560896980],
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[1758.143, 3.26580514774, 522.57741809380],
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[1640.183, 5.50504966218, 846.08283475120],
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[1391.336, 4.02331978116, 323.50541665740],
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[1580.641, 4.37266314120, 309.27832265580],
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[1123.515, 2.83726793572, 415.55249061210],
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[1017.258, 3.71698151814, 227.52618943960],
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[848.643, 3.19149825839, 209.36694217490],
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[1087.237, 4.18343232481, 2.44768055480],
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[956.752, 0.50740889886, 1265.56747862640],
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[789.205, 5.00745123149, 0.96320784650],
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[686.965, 1.74714407827, 1052.26838318840],
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[654.470, 1.59889331515, 0.04818410980],
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[748.811, 2.14398149298, 853.19638175200],
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[633.980, 2.29889903023, 412.37109687440],
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[743.584, 5.25276954625, 224.34479570190],
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[852.677, 3.42141350697, 175.16605980020],
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[579.857, 3.09259007048, 74.78159856730],
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[624.904, 0.97046831256, 210.11770170030],
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[529.861, 4.44938897119, 117.31986822020],
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[542.643, 1.51824320514, 9.56122755560],
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[474.279, 5.47527185987, 742.99006053260],
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[448.542, 1.28990416161, 127.47179660680],
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[546.358, 2.12678554211, 350.33211960040],
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[478.054, 2.96488054338, 137.03302416240],
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[354.944, 3.01286483030, 838.96928775040],
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[451.827, 1.04436664241, 490.33408917940],
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[347.413, 1.53928227764, 340.77089204480],
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[343.475, 0.24604039134, 0.52126486180],
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[309.001, 3.49486734909, 216.48048917570],
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[322.185, 0.96137456104, 203.73786788240],
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[372.308, 2.27819108625, 217.23124870110],
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[321.543, 2.57182354537, 647.01083331480],
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[330.196, 0.24715617844, 1581.95934828300],
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[249.116, 1.47010534421, 1368.66025284500],
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[286.688, 2.37043745859, 351.81659230870],
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[220.225, 4.20422424873, 200.76892246580],
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[277.775, 0.40020408926, 211.81462272970],
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[204.500, 6.01082206600, 265.98929347750],
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[207.663, 0.48349820488, 1162.47470440780],
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[208.655, 1.34516255304, 625.67019231240],
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[182.454, 5.49122292426, 2.92076130680],
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[226.609, 4.91003163138, 12.53017297220],
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[207.659, 1.28302218900, 39.35687591520],
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[173.914, 1.86305806814, 0.75075952540],
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[184.690, 3.50344404958, 149.56319713460],
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[183.511, 0.97254952728, 4.19278569400],
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[146.068, 6.23102544071, 195.13984817330],
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[164.541, 0.44005517520, 5.41662597140],
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[147.526, 1.53529320509, 5.62907429250],
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[139.666, 4.29450260069, 21.34064100240],
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[131.283, 4.06828961903, 10.29494073850],
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[117.283, 2.67920400584, 1155.36115740700],
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[149.299, 5.73594349789, 52.69019803950],
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[122.373, 1.97588777199, 4.66586644600],
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[113.747, 5.59427544714, 1059.38193018920],
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[102.702, 1.19748124058, 1685.05212250160],
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[118.156, 5.34072933900, 554.06998748280],
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[109.275, 3.43812715686, 536.80451209540],
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[110.399, 0.16604024090, 1.48447270830],
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[124.969, 6.27737805832, 1898.35121793960],
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[89.949, 5.80392934702, 114.13847448250],
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[103.956, 2.19210363069, 88.86568021700],
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[112.437, 1.10502663534, 191.20769491020],
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[106.570, 4.01156608514, 956.28915597060],
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[91.430, 1.87521577510, 38.13303563780],
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[83.791, 5.48810655641, 0.11187458460],
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[83.461, 2.28972767279, 628.85158605010],
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[96.987, 4.53666595763, 302.16477565500],
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[100.631, 4.96513666539, 269.92144674060],
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[75.491, 2.18045274099, 728.76296653100],
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[96.330, 2.83319189210, 275.55052103310],
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[82.363, 3.05469876064, 440.82528487760],
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[73.888, 5.08914205084, 1375.77379984580],
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[71.633, 5.10940743430, 65.22037101170],
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[70.409, 4.86846451411, 0.21244832110],
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[69.760, 3.71029022489, 14.97785352700],
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[88.772, 3.86334563977, 278.51946644970],
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[68.090, 0.73415460990, 1478.86657406440],
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[66.501, 0.02677580336, 70.84944530420],
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[65.682, 2.02165559602, 142.44965013380],
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[75.765, 1.61410487792, 284.14854074220],
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[63.153, 3.49493353034, 479.28838891550],
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[62.539, 2.58713611532, 422.66603761290],
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[69.313, 3.43979731402, 515.46387109300],
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[79.021, 4.45154941586, 35.42472265210],
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[63.664, 3.31749528708, 62.25142559510],
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[52.939, 5.51392725227, 0.26063243090],
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[53.011, 3.18480701697, 8.07675484730],
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[54.492, 2.45674090515, 22.09140052780],
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[50.514, 4.26749346978, 99.16062095550],
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[55.170, 0.96797446150, 942.06206196900],
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[49.288, 2.38641424063, 1471.75302706360],
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[47.199, 2.02515248245, 312.19908396260],
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[61.080, 1.50295092063, 210.85141488320],
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[45.126, 0.93109376473, 2001.44399215820],
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[60.556, 2.68715551585, 388.46515523820],
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[43.452, 2.52602011714, 288.08069400530],
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[42.544, 3.81793980322, 330.61896365820],
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[39.915, 5.71378652900, 408.43894361130],
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[50.145, 6.03164759907, 2214.74308759620],
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[45.860, 0.54229721801, 212.33588759150],
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[54.165, 0.78154835399, 191.95845443560],
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[47.016, 4.59934671151, 437.64389113990],
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[42.362, 1.90070070955, 430.53034413910],
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[39.722, 1.63259419913, 1066.49547719000],
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[36.345, 0.84756992711, 213.34727954780],
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[35.468, 4.18603772925, 215.74677599280],
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[36.344, 3.93295730315, 213.25091132820],
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[38.005, 0.31313803095, 423.41679713830],
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[44.746, 1.12488341174, 6.15033915430],
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[37.902, 1.19795851115, 2.70831298570],
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[43.402, 1.37363944007, 563.63121503840],
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[43.764, 3.93043802956, 525.49817940060],
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[34.825, 1.01566605408, 203.00415469950],
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[31.755, 1.69273634405, 0.16005869440],
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[30.880, 6.13525703832, 417.03696332040],
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[36.388, 6.00586032647, 18.15924726470],
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[29.032, 1.19660544505, 404.50679034820],
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[32.812, 0.53649479713, 107.02492748170],
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[30.433, 0.72335287989, 222.86032299360],
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[32.644, 0.81204701486, 1795.25844372100],
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[37.769, 3.69666903716, 1272.68102562720],
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[27.679, 1.45663979401, 7.16173111060],
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[27.187, 1.89731951902, 1045.15483618760],
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[37.699, 4.51997049537, 24.37902238820],
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[34.885, 4.46095761791, 214.26230328450],
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[32.650, 0.66372395761, 692.58748435350],
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[30.324, 5.30369950147, 33.94024994380],
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[27.480, 6.22702216249, 1.27202438720],
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[26.657, 4.56713198392, 7.06536289100],
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[31.745, 5.49798599565, 56.62235130260],
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[28.050, 5.64447420566, 128.95626931510],
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[24.277, 3.93966553574, 414.06801790380],
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[32.017, 5.22260660455, 92.04707395470],
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[26.976, 0.06705123981, 205.22234059070],
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[22.974, 3.65817751770, 207.67002114550],
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[31.775, 5.59198119173, 6069.77675455340],
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[23.153, 2.10054506119, 1788.14489672020],
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[31.025, 0.37190053329, 703.63318461740],
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[29.376, 0.14742155778, 131.40394986990],
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[22.562, 5.24009182383, 212.77783057620],
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[26.185, 5.41311252822, 140.00196957900],
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[25.673, 4.36038885283, 32.24332891440],
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[20.392, 2.82413909260, 429.77958461370],
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[20.659, 0.67091805084, 2317.83586181480],
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[24.397, 3.08740396398, 145.63104387150],
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[23.735, 2.54365387567, 76.26607127560],
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[20.157, 5.06708675157, 617.80588578620],
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[23.307, 3.97357729211, 483.22054217860],
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[22.878, 6.10452832642, 177.87437278590],
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[22.978, 3.20140795404, 208.63322899200],
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[20.638, 5.22128727027, 6.59228213900],
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[21.446, 0.72034565528, 1258.45393162560],
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[18.034, 6.11382719947, 210.37833413120],
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[22.380, 5.92299908546, 173.94221952280],
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[19.128, 5.77772013766, 213.82036029980],
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[20.871, 5.79126331864, 2531.13495725280],
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[19.327, 1.64147367403, 565.11568774670],
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[16.806, 3.27953583323, 98.89998852460],
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[20.833, 2.01655935909, 860.30992875280],
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[17.939, 3.14329498012, 831.85574074960],
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[15.653, 3.10137669623, 106.27416795630],
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[18.235, 5.22595172482, 73.29712585900],
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[19.302, 5.93947114050, 425.11371816770],
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[14.514, 2.75049388379, 1.22384027740],
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[14.562, 5.18795088579, 305.34616939270],
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[14.254, 3.88079504939, 54.17467074780],
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[14.594, 3.25016810034, 78.71375183040],
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[13.637, 2.55486219141, 405.25754987360],
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[13.914, 1.72356993808, 69.15252427480],
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[13.689, 2.37430586272, 125.98732389850],
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[13.496, 0.82683590985, 99.91138048090],
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[18.483, 0.73171264866, 9999.98645077300],
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[13.542, 3.58584380924, 234.63973644040],
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[13.741, 6.18458356845, 245.54242435240],
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[16.944, 0.72200792996, 2111.65031337760],
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[17.441, 0.23803796878, 134.58534360760],
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[14.181, 4.51963935804, 59.80374504030],
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[13.598, 2.53776983965, 1.69692102940],
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[12.240, 2.11973445754, 28.31117565130],
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[11.988, 1.62114832786, 1361.54670584420],
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[11.974, 4.07378735120, 280.96714700450],
|
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[12.758, 5.31146919749, 344.70304530790],
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[16.051, 3.97093160336, 355.74874557180],
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[11.427, 5.51123470805, 192.69216761850],
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[13.133, 4.69168003518, 767.36908292080],
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[14.746, 3.28998910617, 1589.07289528380],
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[11.417, 1.81615681635, 2104.53676637680],
|
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[11.626, 2.79410384978, 362.86229257260],
|
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[13.234, 4.16642914717, 225.82926841020],
|
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[10.599, 5.50554288376, 199.28444975750],
|
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[10.558, 3.57501718639, 1.43628859850],
|
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[10.485, 2.84462532686, 85.82729883120],
|
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[10.296, 0.22225264071, 198.32124191100],
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[10.552, 0.18716643576, 217.49188113200],
|
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[11.853, 0.11584857323, 7.63481186260],
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[10.248, 0.21904154170, 144.14657116320],
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[10.403, 1.68776321208, 31.01948863700],
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[10.313, 4.72132701805, 216.21985674480],
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[10.719, 2.60869377832, 339.28641933650],
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[9.636, 3.66746262954, 212.54833591260],
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[9.631, 3.34275630477, 223.59403617650],
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[9.684, 0.41556436593, 2634.22773147140],
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[9.885, 4.01798130416, 207.14875628370],
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[13.212, 6.00683506785, 214.78356814630],
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[11.346, 2.61898383052, 7.86430652620],
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[9.158, 5.39855118256, 342.25536475310],
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[11.882, 4.00188476744, 267.47376618580],
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[12.054, 3.59904816676, 124.43341522100],
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[8.921, 4.22716773496, 6.36278747540],
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[10.142, 3.60807025662, 14.01464568050],
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[9.350, 0.72255756005, 347.88443904560],
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[10.529, 2.36779614951, 831.10498122420],
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[8.587, 4.48439552745, 1692.16566950240],
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[10.142, 3.93620624488, 207.88246946660],
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[9.147, 4.28032835242, 312.45971639350],
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[8.088, 0.81225752596, 264.50482076920],
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[9.241, 4.26402650779, 20.60692781950],
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[9.614, 0.64291347187, 218.92816973050],
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[8.537, 0.48756672382, 1574.84580128220],
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[7.986, 4.71088791079, 333.65734504400],
|
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[8.951, 0.90641577433, 497.44763618020],
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[7.959, 2.73277594136, 4.14460158420],
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[9.133, 5.08250578843, 241.61027108930],
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[9.669, 1.60623316904, 0.89377187730],
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[8.883, 5.55491009279, 2847.52682690940],
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[8.926, 5.80857835271, 329.72519178090],
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[7.226, 0.60164771281, 206.23373254700],
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[7.655, 5.53676341721, 116.42609634290],
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[7.118, 0.18747501525, 209.10630974400],
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[0.115, 0.05845336809, 631.82053146670],
|
|
[0.139, 2.21086387259, 9573.38825989700],
|
|
[0.142, 6.14666228712, 3340.61242669980],
|
|
[0.122, 4.77182119272, 604.47256366190],
|
|
[0.119, 3.03461367061, 528.20649238630],
|
|
[0.127, 2.97263950543, 498.93210888850],
|
|
[0.111, 5.01192320232, 220.20019411770],
|
|
[0.126, 3.95743516129, 566.60016045500],
|
|
[0.098, 2.36210526249, 634.26821202150],
|
|
[0.108, 2.46872857126, 83.37961827640],
|
|
[0.101, 4.88259474274, 425.32616648880],
|
|
[0.127, 4.89006771254, 162.09337010680],
|
|
[0.099, 0.90073463816, 586.31331639720],
|
|
[0.099, 0.16310526294, 394.35486196160],
|
|
[0.115, 0.49160291262, 517.16079212240],
|
|
[0.101, 3.86043866859, 198.10879358990],
|
|
[0.105, 3.48222097813, 5863.59120611620],
|
|
[0.104, 4.61148354671, 220.52451702340],
|
|
[0.101, 4.77041950285, 427.87021526320],
|
|
[0.098, 2.90784721214, 199.96577331370],
|
|
[0.127, 0.14136936897, 2332.06295581640],
|
|
[0.091, 6.22628300117, 211.29335786790],
|
|
[0.100, 5.14847283436, 226.79247625670],
|
|
[0.091, 4.84054379386, 215.30483300810],
|
|
[0.099, 4.37583492400, 640.41855117580],
|
|
[0.093, 5.30395179617, 222.70026429920],
|
|
[0.086, 4.57481701854, 636.97652500720],
|
|
[0.111, 0.61102669309, 1089.12939443900],
|
|
[0.086, 4.50969293872, 625.88264063350],
|
|
[0.088, 0.36828594935, 444.12429869430],
|
|
[0.093, 5.76287499885, 203.89792657680],
|
|
[0.082, 2.85558603378, 318.83955021140],
|
|
[0.082, 5.19618475111, 1467.82087380050],
|
|
[0.086, 0.97633784601, 200.03520928290],
|
|
[0.082, 4.78557953017, 195.77298761970],
|
|
[0.106, 2.29520624233, 799.61241183520],
|
|
[0.081, 3.57727166766, 205.97310011610],
|
|
[0.078, 5.50343512580, 262.80789973980],
|
|
[0.087, 0.76830756075, 201.99276274320],
|
|
[0.102, 2.11516755277, 206.93630796260],
|
|
[0.081, 5.29639775054, 111.16952906590],
|
|
[0.075, 2.77117107886, 255.83736509090],
|
|
[0.074, 5.81587984729, 316.44005376640],
|
|
[0.076, 1.78743197928, 171.65459766240],
|
|
[0.094, 4.99996904753, 378.64329525170],
|
|
[0.089, 5.85818860151, 807.94979911340],
|
|
[0.072, 0.99858616883, 280.21638747910],
|
|
[0.099, 0.15018241445, 186.21176006410],
|
|
[0.072, 5.15715918322, 110.15813710960],
|
|
],
|
|
# L1
|
|
[
|
|
[21354295595.986, 0.00000000000, 0.00000000000],
|
|
[1296855.005, 1.82820544701, 213.29909543800],
|
|
[564347.566, 2.88500136429, 7.11354700080],
|
|
[98323.030, 1.08070061328, 426.59819087600],
|
|
[107678.770, 2.27769911872, 206.18554843720],
|
|
[40254.586, 2.04128257090, 220.41264243880],
|
|
[19941.734, 1.27954662736, 103.09277421860],
|
|
[10511.706, 2.74880392800, 14.22709400160],
|
|
[6939.233, 0.40493079985, 639.89728631400],
|
|
[4803.325, 2.44194097666, 419.48464387520],
|
|
[4056.325, 2.92166618776, 110.20632121940],
|
|
[3768.630, 3.64965631460, 3.93215326310],
|
|
[3384.684, 2.41694251653, 3.18139373770],
|
|
[3302.200, 1.26256486715, 433.71173787680],
|
|
[3071.382, 2.32739317750, 199.07200143640],
|
|
[1953.036, 3.56394683300, 11.04570026390],
|
|
[1249.348, 2.62803737519, 95.97922721780],
|
|
[921.683, 1.96089834250, 227.52618943960],
|
|
[705.587, 4.41689249330, 529.69096509460],
|
|
[649.654, 6.17418093659, 202.25339517410],
|
|
[627.603, 6.11088227167, 309.27832265580],
|
|
[486.843, 6.03998200305, 853.19638175200],
|
|
[468.377, 4.61707843907, 63.73589830340],
|
|
[478.501, 4.98776987984, 522.57741809380],
|
|
[417.010, 2.11708169277, 323.50541665740],
|
|
[407.630, 1.29949556676, 209.36694217490],
|
|
[343.826, 3.95854178574, 412.37109687440],
|
|
[339.724, 3.63396398752, 316.39186965660],
|
|
[335.936, 3.77173072712, 735.87651353180],
|
|
[331.933, 2.86077699882, 210.11770170030],
|
|
[352.489, 2.31707079463, 632.78373931320],
|
|
[289.429, 2.73263080235, 117.31986822020],
|
|
[265.801, 0.54344631312, 647.01083331480],
|
|
[230.493, 1.64428879621, 216.48048917570],
|
|
[280.911, 5.74398845416, 2.44768055480],
|
|
[191.667, 2.96512946582, 224.34479570190],
|
|
[172.891, 4.07695221044, 846.08283475120],
|
|
[167.131, 2.59745202658, 21.34064100240],
|
|
[136.328, 2.28580246629, 10.29494073850],
|
|
[131.364, 3.44108355646, 742.99006053260],
|
|
[127.838, 4.09533471247, 217.23124870110],
|
|
[108.862, 6.16141072262, 415.55249061210],
|
|
[93.909, 3.48397279899, 1052.26838318840],
|
|
[92.482, 3.94755499926, 88.86568021700],
|
|
[97.584, 4.72845436677, 838.96928775040],
|
|
[86.600, 1.21951325061, 440.82528487760],
|
|
[83.463, 3.11269504725, 625.67019231240],
|
|
[77.588, 6.24408938835, 302.16477565500],
|
|
[61.557, 1.82789612597, 195.13984817330],
|
|
[61.900, 4.29344363385, 127.47179660680],
|
|
[67.106, 0.28961738595, 4.66586644600],
|
|
[56.919, 5.01889578112, 137.03302416240],
|
|
[54.160, 5.12628572382, 490.33408917940],
|
|
[54.585, 0.28356341456, 74.78159856730],
|
|
[51.425, 1.45766406064, 536.80451209540],
|
|
[65.843, 5.64757042732, 9.56122755560],
|
|
[57.780, 2.47630552035, 191.95845443560],
|
|
[44.444, 2.70873627665, 5.41662597140],
|
|
[46.799, 1.17721211050, 149.56319713460],
|
|
[40.380, 3.88870105683, 728.76296653100],
|
|
[37.768, 2.53379013859, 12.53017297220],
|
|
[46.649, 5.14818326902, 515.46387109300],
|
|
[45.891, 2.23198878761, 956.28915597060],
|
|
[40.400, 0.41281520440, 269.92144674060],
|
|
[37.191, 3.78239026411, 2.92076130680],
|
|
[33.778, 3.21070688046, 1368.66025284500],
|
|
[37.969, 0.64665967180, 422.66603761290],
|
|
[32.857, 0.30063884563, 351.81659230870],
|
|
[33.050, 5.43038091186, 1066.49547719000],
|
|
[30.276, 2.84067004928, 203.00415469950],
|
|
[35.116, 6.08421794089, 5.62907429250],
|
|
[29.667, 3.39052569135, 1059.38193018920],
|
|
[33.217, 4.64063092111, 277.03499374140],
|
|
[31.876, 4.38622923770, 1155.36115740700],
|
|
[28.913, 2.02614760507, 330.61896365820],
|
|
[28.264, 2.74178953996, 265.98929347750],
|
|
[30.089, 6.18684614308, 284.14854074220],
|
|
[31.329, 2.43455855525, 52.69019803950],
|
|
[26.493, 4.51214170121, 340.77089204480],
|
|
[21.983, 5.14437352579, 4.19278569400],
|
|
[22.230, 1.96481952451, 203.73786788240],
|
|
[20.824, 6.16048095923, 860.30992875280],
|
|
[21.690, 2.67578768862, 942.06206196900],
|
|
[22.552, 5.88579123000, 210.85141488320],
|
|
[19.807, 2.31345263487, 437.64389113990],
|
|
[19.447, 4.76573277668, 70.84944530420],
|
|
[19.310, 4.10209060369, 18.15924726470],
|
|
[22.662, 4.13732273379, 191.20769491020],
|
|
[18.209, 0.90310796389, 429.77958461370],
|
|
[17.667, 1.84954766042, 234.63973644040],
|
|
[17.547, 2.44735118493, 423.41679713830],
|
|
[15.428, 4.23790088205, 1162.47470440780],
|
|
[14.608, 3.59713247857, 1045.15483618760],
|
|
[14.111, 2.94262468353, 1685.05212250160],
|
|
[16.328, 4.05665272725, 949.17560896980],
|
|
[13.348, 6.24509592240, 38.13303563780],
|
|
[15.918, 1.06434204938, 56.62235130260],
|
|
[14.059, 1.43503954068, 408.43894361130],
|
|
[13.093, 5.75815864257, 138.51749687070],
|
|
[15.772, 5.59350835225, 6.15033915430],
|
|
[14.962, 5.77192239389, 22.09140052780],
|
|
[16.024, 1.93900586533, 1272.68102562720],
|
|
[16.751, 5.96673627422, 628.85158605010],
|
|
[12.843, 4.24658666814, 405.25754987360],
|
|
[13.628, 4.09892958087, 1471.75302706360],
|
|
[15.067, 0.74142807591, 200.76892246580],
|
|
[10.961, 1.55022573283, 223.59403617650],
|
|
[11.695, 1.81237511034, 124.43341522100],
|
|
[10.346, 3.46814088412, 1375.77379984580],
|
|
[12.056, 1.85655834555, 131.40394986990],
|
|
[10.123, 2.38221133049, 107.02492748170],
|
|
[9.855, 3.95166998848, 430.53034413910],
|
|
[9.803, 2.55389483994, 99.91138048090],
|
|
[10.614, 5.36692189034, 215.74677599280],
|
|
[12.080, 4.84549317054, 831.85574074960],
|
|
[10.210, 6.07692961370, 32.24332891440],
|
|
[9.245, 3.65417467270, 142.44965013380],
|
|
[8.984, 1.23808405498, 106.27416795630],
|
|
[9.336, 5.81062768434, 7.16173111060],
|
|
[9.717, 1.38703872827, 145.63104387150],
|
|
[8.394, 4.42341211111, 703.63318461740],
|
|
[8.370, 5.64015188458, 62.25142559510],
|
|
[8.244, 2.42225929772, 1258.45393162560],
|
|
[7.784, 0.52562994711, 654.12438031560],
|
|
[7.626, 3.75258725596, 312.19908396260],
|
|
[7.222, 0.28429555677, 0.75075952540],
|
|
[8.236, 6.22250515902, 14.97785352700],
|
|
[7.054, 0.53177810740, 388.46515523820],
|
|
[6.567, 3.48657341701, 35.42472265210],
|
|
[9.011, 4.94919626910, 208.63322899200],
|
|
[8.980, 0.08138173719, 288.08069400530],
|
|
[6.421, 3.32905264657, 1361.54670584420],
|
|
[6.489, 2.89389587598, 114.13847448250],
|
|
[6.244, 0.54973852782, 65.22037101170],
|
|
[6.154, 2.67885860584, 2001.44399215820],
|
|
[6.742, 0.23586769279, 8.07675484730],
|
|
[7.297, 4.85321224483, 222.86032299360],
|
|
[6.302, 3.80651124694, 1788.14489672020],
|
|
[5.824, 4.39327457448, 81.75213321620],
|
|
[6.102, 0.88585782895, 92.04707395470],
|
|
[6.914, 2.04631426723, 99.16062095550],
|
|
[5.363, 5.47995103139, 563.63121503840],
|
|
[5.172, 2.11968421583, 214.26230328450],
|
|
[5.117, 5.76987684107, 565.11568774670],
|
|
[6.197, 1.62553688800, 1589.07289528380],
|
|
[4.970, 0.41949366126, 76.26607127560],
|
|
[6.640, 5.82582210639, 483.22054217860],
|
|
[5.277, 4.57975789757, 134.58534360760],
|
|
[4.974, 4.20243895902, 404.50679034820],
|
|
[5.150, 4.67582673243, 212.33588759150],
|
|
[4.764, 4.59303997414, 554.06998748280],
|
|
[4.573, 3.24875415786, 231.45834270270],
|
|
[4.811, 0.46206327592, 362.86229257260],
|
|
[5.148, 3.33570646174, 1.48447270830],
|
|
[4.654, 5.80233066659, 217.96496188400],
|
|
[4.509, 5.37581684215, 497.44763618020],
|
|
[4.443, 0.11349392292, 295.05122865420],
|
|
[4.943, 3.78020789259, 1265.56747862640],
|
|
[4.211, 4.88306021960, 98.89998852460],
|
|
[4.252, 5.00120115113, 213.34727954780],
|
|
[4.774, 4.53259894142, 1148.24761040620],
|
|
[3.911, 0.58582192963, 750.10360753340],
|
|
[5.069, 2.20305668335, 207.88246946660],
|
|
[3.553, 0.35374030841, 333.65734504400],
|
|
[3.771, 0.98542435766, 24.37902238820],
|
|
[3.458, 1.84990273999, 225.82926841020],
|
|
[3.401, 5.31342401626, 347.88443904560],
|
|
[3.347, 0.21414641376, 635.96513305090],
|
|
[3.637, 1.61315058382, 245.54242435240],
|
|
[3.416, 2.19551489078, 1574.84580128220],
|
|
[3.655, 0.80544245690, 343.21857259960],
|
|
[4.260, 1.80258750109, 213.25091132820],
|
|
[3.110, 3.03815175282, 1677.93857550080],
|
|
[3.052, 1.33858964447, 543.91805909620],
|
|
[3.694, 0.81606028298, 344.70304530790],
|
|
[3.016, 3.36219319026, 7.86430652620],
|
|
[2.937, 4.86927342776, 144.14657116320],
|
|
[2.768, 2.42707131609, 2317.83586181480],
|
|
[3.059, 4.30820099442, 6062.66320755260],
|
|
[3.650, 5.12802531219, 218.92816973050],
|
|
[2.963, 3.53480751374, 2104.53676637680],
|
|
[3.230, 2.88057019783, 216.21985674480],
|
|
[2.984, 2.52971310583, 1692.16566950240],
|
|
[2.897, 5.73256482240, 9992.87290377220],
|
|
[2.591, 3.79880285744, 17.26547538740],
|
|
[3.495, 5.29902525443, 350.33211960040],
|
|
[2.859, 3.72804950659, 6076.89030155420],
|
|
[2.775, 0.23549396237, 357.44566660120],
|
|
[2.976, 2.48769315964, 46.47042291600],
|
|
[2.487, 4.37868078530, 217.49188113200],
|
|
[2.711, 5.15376840150, 10007.09999777380],
|
|
[3.127, 1.92343235583, 17.40848773930],
|
|
[3.181, 1.72419900322, 1169.58825140860],
|
|
[2.348, 0.77373103004, 414.06801790380],
|
|
[2.606, 3.42836913440, 31.01948863700],
|
|
[2.556, 0.91735028377, 479.28838891550],
|
|
[2.399, 4.82440545738, 1279.79457262800],
|
|
[2.245, 3.76323995584, 425.11371816770],
|
|
[3.020, 0.25310250109, 120.35824960600],
|
|
[2.503, 2.10679832121, 168.05251279940],
|
|
[2.564, 1.63158205055, 182.27960680100],
|
|
[2.221, 3.15472373256, 212.77783057620],
|
|
[2.357, 2.33145013714, 218.71572140940],
|
|
[2.510, 4.51903989011, 198.32124191100],
|
|
[2.715, 5.76330259543, 618.55664531160],
|
|
[2.204, 3.35952557362, 160.60889739850],
|
|
[2.648, 0.71962005233, 85.82729883120],
|
|
[2.029, 5.28642331696, 125.98732389850],
|
|
[2.497, 1.36671447252, 1905.46476494040],
|
|
[2.017, 1.11498225426, 447.93883187840],
|
|
[2.052, 1.27587874735, 14.01464568050],
|
|
[2.254, 3.22447674190, 273.10284047830],
|
|
[2.014, 0.39787014152, 358.93013930950],
|
|
[1.981, 2.33696859021, 28.45418800320],
|
|
[2.197, 5.93386789705, 13.33332212430],
|
|
[2.237, 3.64433751164, 213.82036029980],
|
|
[1.930, 1.85671740340, 1.27202438720],
|
|
[2.037, 5.05300562628, 424.15051032120],
|
|
[1.994, 1.35690802366, 20.60692781950],
|
|
[1.911, 3.44106886717, 69.15252427480],
|
|
[1.925, 3.75243031545, 28.31117565130],
|
|
[2.297, 4.24557050896, 1464.63948006280],
|
|
[2.117, 2.25897766314, 116.42609634290],
|
|
[1.847, 5.40631472802, 31.49256938900],
|
|
[1.841, 1.56916484272, 650.94298657790],
|
|
[1.884, 6.27233535258, 25.12978191360],
|
|
[1.960, 4.89484014840, 275.55052103310],
|
|
[2.016, 5.45791785675, 842.15068148810],
|
|
[2.282, 4.96276947440, 258.87574647670],
|
|
[1.709, 3.99098237135, 416.30325013750],
|
|
[2.176, 0.00746756006, 0.89377187730],
|
|
[1.634, 5.30978165487, 251.43213107580],
|
|
[1.687, 0.41586020065, 54.17467074780],
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|
|
[0.220, 0.95686592581, 1894.41906467650],
|
|
[0.225, 4.30669421945, 637.44960575920],
|
|
[0.214, 1.70442143644, 658.05653357870],
|
|
[0.227, 3.22613053351, 638.93407846750],
|
|
[0.220, 2.66798936385, 953.10776223290],
|
|
[0.253, 3.09377787768, 29.20494752860],
|
|
[0.244, 3.15828383212, 7.00167241620],
|
|
[0.295, 4.95843934543, 714.67888488130],
|
|
[0.209, 0.94525938634, 864.24208201590],
|
|
[0.216, 0.12221236180, 28.57180808220],
|
|
[0.214, 2.80190604605, 373.90799283650],
|
|
[0.212, 2.07343849515, 1357.61455258110],
|
|
[0.216, 1.25531205533, 477.80391620720],
|
|
[0.206, 5.35971491902, 3060.82592234740],
|
|
[0.204, 3.08579410460, 67.66805156650],
|
|
[0.210, 1.91489853604, 938.12990870590],
|
|
[0.209, 1.46554109301, 952.35700270750],
|
|
[0.202, 3.57670882297, 334.55111692130],
|
|
[0.228, 5.66209641464, 1699.27921650320],
|
|
[0.197, 4.61055255182, 464.73122651380],
|
|
[0.193, 4.24606721746, 141.69889060840],
|
|
[0.266, 0.69665031373, 2854.64037391020],
|
|
[0.227, 1.31845358943, 230.70758317730],
|
|
[0.192, 5.26739976413, 504.56118318100],
|
|
[0.187, 0.85537192230, 273.85360000370],
|
|
[0.199, 3.91291687807, 418.52143602870],
|
|
[0.192, 6.15674105214, 611.44309831080],
|
|
[0.210, 1.47873602747, 205.43478891180],
|
|
[0.194, 2.37167703302, 3370.10424500320],
|
|
[0.228, 2.15266015145, 55.13787859430],
|
|
[0.201, 2.71380671608, 586.31331639720],
|
|
[0.194, 3.29560033731, 1670.82502850000],
|
|
[0.201, 4.23447633663, 1493.09366806600],
|
|
[0.181, 3.61567262848, 9786.68735533500],
|
|
[0.181, 2.83211558346, 1262.38608488870],
|
|
[0.242, 4.69869158516, 1141.13406340540],
|
|
[0.184, 4.66807336402, 1251.34038462480],
|
|
[0.221, 2.25887876254, 355.74874557180],
|
|
[0.200, 1.17340443616, 4952.06359328620],
|
|
[0.222, 2.23360866067, 2435.15573003500],
|
|
[0.175, 0.04701598422, 107.75864066460],
|
|
[0.171, 5.02500742690, 93.53154666300],
|
|
[0.184, 5.19723697138, 835.78789401270],
|
|
[0.221, 4.49141283681, 913.00012679230],
|
|
[0.195, 0.92088046109, 551.03160609700],
|
|
[0.166, 5.01778115937, 354.99798604640],
|
|
[0.165, 2.26267552932, 406.95447090300],
|
|
[0.189, 0.31221126958, 420.96911658350],
|
|
[0.196, 2.70333585839, 774.48262992160],
|
|
[0.176, 6.12029409039, 181.80652604900],
|
|
[0.172, 1.94132177757, 3259.89792378380],
|
|
[0.160, 0.55319954265, 5429.87946823940],
|
|
[0.161, 2.88623631474, 184.84490743480],
|
|
[0.192, 0.26639534884, 295.19424100610],
|
|
[0.167, 3.71345214172, 1056.20053645150],
|
|
[0.195, 4.83926717598, 1596.18644228460],
|
|
[0.156, 2.81916058733, 428.08266358430],
|
|
[0.215, 1.88276472005, 220.36445832900],
|
|
[0.167, 2.68872854428, 423.67742956920],
|
|
[0.154, 1.66553954375, 115.62294719080],
|
|
[0.175, 0.20216461467, 384.05992122310],
|
|
[0.201, 4.38095931887, 418.00017116690],
|
|
[0.167, 1.86485857353, 393.46109008430],
|
|
[0.155, 0.92480392431, 282.66406803390],
|
|
[0.146, 1.97663966745, 9360.08916445900],
|
|
[0.160, 2.62483919699, 353.30106501700],
|
|
[0.186, 1.37307151419, 292.01284726840],
|
|
[0.198, 1.15631374887, 2957.73314812880],
|
|
[0.144, 4.82956915076, 453.42489381900],
|
|
[0.149, 3.60682821788, 205.66428357540],
|
|
[0.147, 4.48377791879, 81.89514556810],
|
|
[0.147, 5.74795037748, 856.37777548970],
|
|
[0.142, 3.53823120158, 212.02707105080],
|
|
[0.140, 0.70476909062, 640.86049416050],
|
|
[0.139, 1.39047667205, 1261.63532536330],
|
|
[0.153, 3.29559426243, 391.17346822390],
|
|
[0.158, 1.79872341304, 326.68681039510],
|
|
[0.174, 3.98677435872, 1049.08698945070],
|
|
[0.171, 4.16825100469, 213.03846300710],
|
|
[0.133, 4.74095454922, 0.04818410980],
|
|
[0.155, 5.32313618730, 2015.67108615980],
|
|
[0.158, 2.67557086253, 2531.13495725280],
|
|
[0.158, 4.64622526567, 427.34895040140],
|
|
[0.123, 2.20103444636, 210.59078245230],
|
|
[0.160, 1.85888551524, 201.51968199120],
|
|
[0.119, 3.12572799769, 238.57188970350],
|
|
[0.120, 4.62897224203, 203.26478713040],
|
|
[0.129, 4.92592016162, 1286.90811962880],
|
|
[0.132, 3.44682160054, 156.67674413540],
|
|
[0.143, 0.67951827513, 425.84743135060],
|
|
[0.114, 5.46519773276, 552.58551477450],
|
|
[0.132, 1.76335093671, 432.01481684740],
|
|
[0.113, 0.68933513038, 450.97721326420],
|
|
[0.128, 2.13986068877, 2751.54759969160],
|
|
[0.123, 4.59695145319, 216.00740842370],
|
|
[0.119, 1.04688666457, 462.02291352810],
|
|
[0.108, 5.36873170289, 3377.21779200400],
|
|
[0.142, 6.24626256472, 299.12639426920],
|
|
[0.118, 0.63448253510, 369.97583957340],
|
|
[0.105, 2.31570619675, 200.55647414470],
|
|
[0.124, 1.87110815140, 850.01498801430],
|
|
[0.106, 0.55623662570, 114.39910691340],
|
|
[0.102, 3.95315219638, 361.37781986430],
|
|
[0.095, 4.10658529323, 10213.28554621100],
|
|
[0.097, 1.13534710734, 387.24131496080],
|
|
[0.096, 4.46689094543, 401.32539661050],
|
|
[0.119, 2.33636675091, 318.83955021140],
|
|
[0.115, 3.37508073115, 313.94418910180],
|
|
[0.106, 3.73586211650, 220.93390730060],
|
|
[0.090, 0.59788492023, 227.31374111850],
|
|
[0.103, 5.09172929383, 213.45915413240],
|
|
[0.097, 5.95268532215, 1044.40407666220],
|
|
[0.103, 1.70625660572, 213.13903674360],
|
|
[0.080, 0.86872596168, 233.90602325750],
|
|
[0.089, 5.35990932230, 214.19286731530],
|
|
[0.080, 2.69565238975, 540.73666535850],
|
|
[0.095, 1.19504849611, 460.53844081980],
|
|
[0.105, 0.58624363205, 481.73606947030],
|
|
[0.099, 2.68841109007, 219.89137757700],
|
|
[0.098, 1.59923557478, 484.70501488690],
|
|
[0.081, 1.12279793521, 420.44785172170],
|
|
[0.075, 4.58892231446, 394.35486196160],
|
|
[0.099, 4.68895851750, 448.68959140380],
|
|
[0.076, 1.66929798365, 196.03362005060],
|
|
[0.087, 3.12477195090, 857.12853501510],
|
|
[0.078, 5.59819387460, 364.34676528090],
|
|
[0.079, 3.53267171729, 969.62247809490],
|
|
],
|
|
# L2
|
|
[
|
|
[116441.181, 1.17987850633, 7.11354700080],
|
|
[91920.844, 0.07425261094, 213.29909543800],
|
|
[90592.251, 0.00000000000, 0.00000000000],
|
|
[15276.909, 4.06492007503, 206.18554843720],
|
|
[10631.396, 0.25778277414, 220.41264243880],
|
|
[10604.979, 5.40963595885, 426.59819087600],
|
|
[4265.368, 1.04595556630, 14.22709400160],
|
|
[1215.527, 2.91860042123, 103.09277421860],
|
|
[1164.684, 4.60942128971, 639.89728631400],
|
|
[1081.967, 5.69130351670, 433.71173787680],
|
|
[1020.079, 0.63369182642, 3.18139373770],
|
|
[1044.754, 4.04206453611, 199.07200143640],
|
|
[633.582, 4.38825410036, 419.48464387520],
|
|
[549.329, 5.57303134242, 3.93215326310],
|
|
[456.914, 1.26840971349, 110.20632121940],
|
|
[425.100, 0.20935499279, 227.52618943960],
|
|
[273.739, 4.28841011784, 95.97922721780],
|
|
[161.571, 1.38139149420, 11.04570026390],
|
|
[129.494, 1.56586884170, 309.27832265580],
|
|
[117.008, 3.88120915956, 853.19638175200],
|
|
[105.415, 4.90003203599, 647.01083331480],
|
|
[100.967, 0.89270493100, 21.34064100240],
|
|
[95.227, 5.62561150598, 412.37109687440],
|
|
[81.948, 1.02477558315, 117.31986822020],
|
|
[74.857, 4.76178468163, 210.11770170030],
|
|
[82.727, 6.05030934786, 216.48048917570],
|
|
[95.659, 2.91093561539, 316.39186965660],
|
|
[63.696, 0.35179804917, 323.50541665740],
|
|
[84.860, 5.73472777961, 209.36694217490],
|
|
[60.647, 4.87517850190, 632.78373931320],
|
|
[66.459, 0.48297940601, 10.29494073850],
|
|
[67.184, 0.45648612616, 522.57741809380],
|
|
[53.281, 2.74730541387, 529.69096509460],
|
|
[45.827, 5.69296621745, 440.82528487760],
|
|
[45.293, 1.66856699796, 202.25339517410],
|
|
[42.330, 5.70768187703, 88.86568021700],
|
|
[32.140, 0.07050050346, 63.73589830340],
|
|
[31.573, 1.67190022213, 302.16477565500],
|
|
[31.150, 4.16379537691, 191.95845443560],
|
|
[24.631, 5.65564728570, 735.87651353180],
|
|
[26.558, 0.83256214407, 224.34479570190],
|
|
[20.108, 5.94364609981, 217.23124870110],
|
|
[17.511, 4.90014736798, 625.67019231240],
|
|
[17.130, 1.62593421274, 742.99006053260],
|
|
[13.744, 3.76497167300, 195.13984817330],
|
|
[12.236, 4.71789723976, 203.00415469950],
|
|
[11.940, 0.12620714199, 234.63973644040],
|
|
[16.040, 0.57886320845, 515.46387109300],
|
|
[11.154, 5.92216844780, 536.80451209540],
|
|
[14.068, 0.20675293700, 838.96928775040],
|
|
[11.013, 5.60207982774, 728.76296653100],
|
|
[11.718, 3.12098483554, 846.08283475120],
|
|
[9.962, 4.15472049127, 860.30992875280],
|
|
[10.601, 3.20327613035, 1066.49547719000],
|
|
[10.072, 0.25709351996, 330.61896365820],
|
|
[9.490, 0.46379969328, 956.28915597060],
|
|
[10.240, 4.98736656070, 422.66603761290],
|
|
[8.287, 2.13990364272, 269.92144674060],
|
|
[7.238, 5.39724715258, 1052.26838318840],
|
|
[7.730, 5.24602742309, 429.77958461370],
|
|
[6.353, 4.46211130731, 284.14854074220],
|
|
[5.935, 5.40967847103, 149.56319713460],
|
|
[7.550, 4.03401153929, 9.56122755560],
|
|
[5.779, 4.29380891110, 415.55249061210],
|
|
[6.082, 5.93416924841, 405.25754987360],
|
|
[5.711, 0.01824076994, 124.43341522100],
|
|
[5.676, 6.02235682150, 223.59403617650],
|
|
[4.757, 4.92804854717, 654.12438031560],
|
|
[4.727, 2.27461984667, 18.15924726470],
|
|
[4.509, 4.40688707557, 942.06206196900],
|
|
[5.621, 0.29694719379, 127.47179660680],
|
|
[5.453, 5.53868222772, 949.17560896980],
|
|
[4.130, 4.68673560379, 74.78159856730],
|
|
[4.098, 5.30851262200, 1045.15483618760],
|
|
[4.223, 2.89014939299, 56.62235130260],
|
|
[4.887, 3.20022991216, 277.03499374140],
|
|
[3.905, 3.30270187305, 490.33408917940],
|
|
[3.923, 6.09732996823, 81.75213321620],
|
|
[3.755, 4.93065184796, 52.69019803950],
|
|
[4.602, 6.13908576681, 1155.36115740700],
|
|
[3.714, 0.40648076787, 137.03302416240],
|
|
[3.407, 4.28514461015, 99.91138048090],
|
|
[3.579, 0.20402442077, 1272.68102562720],
|
|
[3.946, 0.36500928968, 12.53017297220],
|
|
[3.246, 1.56761884227, 1059.38193018920],
|
|
[4.063, 0.29084229143, 831.85574074960],
|
|
[3.688, 0.15467406177, 437.64389113990],
|
|
[2.895, 3.13473183482, 70.84944530420],
|
|
[2.800, 0.32727938074, 191.20769491020],
|
|
[2.672, 1.87612402267, 295.05122865420],
|
|
[3.454, 4.77197610696, 423.41679713830],
|
|
[2.623, 5.15237415384, 1368.66025284500],
|
|
[2.457, 3.89612890177, 210.85141488320],
|
|
[2.461, 1.58522876760, 32.24332891440],
|
|
[2.595, 3.59007068361, 131.40394986990],
|
|
[2.289, 4.76825865118, 351.81659230870],
|
|
[2.357, 5.83099000562, 106.27416795630],
|
|
[2.221, 5.98277491515, 6062.66320755260],
|
|
[2.221, 2.05930402282, 6076.89030155420],
|
|
[2.183, 5.94985336393, 145.63104387150],
|
|
[2.718, 3.37801252354, 408.43894361130],
|
|
[2.288, 3.14000619320, 22.09140052780],
|
|
[2.090, 1.12304173562, 9992.87290377220],
|
|
[2.089, 3.48276230686, 10007.09999777380],
|
|
[2.570, 5.12167203704, 265.98929347750],
|
|
[1.835, 4.15379879659, 1258.45393162560],
|
|
[1.820, 5.05340615445, 1361.54670584420],
|
|
[1.760, 4.13532689228, 107.02492748170],
|
|
[1.921, 4.51790997496, 138.51749687070],
|
|
[1.707, 1.35864593280, 231.45834270270],
|
|
[1.956, 5.87006093798, 1471.75302706360],
|
|
[2.133, 5.23409848720, 1265.56747862640],
|
|
[1.595, 5.61962698786, 447.93883187840],
|
|
[1.609, 3.74893709671, 628.85158605010],
|
|
[1.490, 0.48352404940, 340.77089204480],
|
|
[1.560, 5.97095003614, 430.53034413910],
|
|
[1.352, 0.71405348653, 28.45418800320],
|
|
[1.355, 2.91219493604, 215.74677599280],
|
|
[1.298, 5.84254169775, 543.91805909620],
|
|
[1.664, 6.23834873469, 1148.24761040620],
|
|
[1.205, 2.83373725021, 200.76892246580],
|
|
[1.192, 3.52219428945, 497.44763618020],
|
|
[1.122, 2.60571030270, 1279.79457262800],
|
|
[1.217, 6.23528359211, 1589.07289528380],
|
|
[1.420, 0.85079202155, 6069.77675455340],
|
|
[1.120, 4.95656566453, 1685.05212250160],
|
|
[1.010, 3.39689646619, 1073.60902419080],
|
|
[1.352, 2.27575429523, 9999.98645077300],
|
|
[0.979, 1.58571463442, 1375.77379984580],
|
|
[1.159, 0.71823181781, 508.35032409220],
|
|
[1.014, 2.40759054741, 703.63318461740],
|
|
[0.956, 2.66256831556, 134.58534360760],
|
|
[1.110, 1.19713920197, 618.55664531160],
|
|
[0.945, 4.68155456977, 362.86229257260],
|
|
[0.953, 4.20749172571, 288.08069400530],
|
|
[1.033, 1.08781255146, 184.84490743480],
|
|
[0.942, 2.43465223460, 222.86032299360],
|
|
[0.909, 4.51769385360, 38.13303563780],
|
|
[1.002, 1.38543153271, 483.22054217860],
|
|
[1.082, 4.52832816548, 635.96513305090],
|
|
[1.008, 4.91325851448, 750.10360753340],
|
|
[0.862, 4.79998518474, 1677.93857550080],
|
|
[0.828, 2.21940849017, 333.65734504400],
|
|
[0.745, 3.97279299984, 1574.84580128220],
|
|
[0.903, 5.58963782799, 1788.14489672020],
|
|
[0.735, 2.28191723259, 1162.47470440780],
|
|
[0.773, 5.82270096882, 416.30325013750],
|
|
[0.734, 2.35356586018, 120.35824960600],
|
|
[0.745, 4.84266000843, 76.26607127560],
|
|
[0.765, 2.50840146722, 343.21857259960],
|
|
[0.908, 5.01046293458, 1581.95934828300],
|
|
[0.707, 3.66631544506, 347.88443904560],
|
|
[0.870, 0.77106152694, 113.38771495710],
|
|
[0.686, 2.88543836068, 92.04707395470],
|
|
[0.673, 3.75650667651, 203.73786788240],
|
|
[0.656, 3.77718582702, 217.96496188400],
|
|
[0.675, 5.62875135263, 17.26547538740],
|
|
[0.691, 0.21330089609, 99.16062095550],
|
|
[0.786, 4.49318079175, 643.07868005170],
|
|
[0.641, 0.67588390141, 46.47042291600],
|
|
[0.663, 5.74837848383, 721.64941953020],
|
|
[0.809, 5.94893988352, 1464.63948006280],
|
|
[0.638, 4.86195439622, 357.44566660120],
|
|
[0.740, 6.00053422445, 337.73251065900],
|
|
[0.555, 4.95858934298, 358.93013930950],
|
|
[0.581, 3.87669679805, 565.11568774670],
|
|
[0.541, 1.22296838713, 62.25142559510],
|
|
[0.697, 0.00715950269, 1169.58825140860],
|
|
[0.524, 1.53830423608, 195.89060769870],
|
|
[0.518, 5.41992758537, 312.19908396260],
|
|
[0.626, 5.26580317026, 436.89313161450],
|
|
[0.537, 6.17031657600, 182.27960680100],
|
|
[0.574, 5.98607898826, 1905.46476494040],
|
|
[0.541, 0.30589337713, 98.89998852460],
|
|
[0.603, 3.26888470585, 208.63322899200],
|
|
[0.504, 3.80930996688, 168.05251279940],
|
|
[0.477, 3.56642391994, 563.63121503840],
|
|
[0.511, 4.70719837179, 2001.44399215820],
|
|
[0.475, 1.06025557585, 5856.47765911540],
|
|
[0.540, 0.87230551412, 1692.16566950240],
|
|
[0.454, 2.48128029368, 9786.68735533500],
|
|
[0.456, 3.18303484133, 218.92816973050],
|
|
[0.462, 0.71358186864, 258.87574647670],
|
|
[0.424, 4.89778948357, 636.71589257630],
|
|
[0.537, 2.59376221736, 313.21047591890],
|
|
[0.410, 4.22147787617, 867.42347575360],
|
|
[0.408, 3.06057772788, 424.15051032120],
|
|
[0.407, 3.79376013938, 24.37902238820],
|
|
[0.569, 3.68547825941, 350.33211960040],
|
|
[0.404, 0.91401255827, 114.13847448250],
|
|
[0.395, 3.50478374207, 129.91947716160],
|
|
[0.395, 2.86309689622, 212.33588759150],
|
|
[0.386, 5.00762729432, 388.46515523820],
|
|
[0.393, 6.26835522096, 241.75328344120],
|
|
[0.401, 4.60258908692, 1994.33044515740],
|
|
[0.385, 0.91582119643, 160.60889739850],
|
|
[0.467, 0.54876489832, 404.50679034820],
|
|
[0.368, 0.35674031808, 214.26230328450],
|
|
[0.471, 0.67360047481, 207.88246946660],
|
|
[0.379, 0.92901327825, 767.36908292080],
|
|
[0.420, 5.69797398044, 225.82926841020],
|
|
[0.356, 3.10092792842, 842.15068148810],
|
|
[0.428, 5.35375368944, 2104.53676637680],
|
|
[0.422, 2.67975581832, 77.96299230500],
|
|
[0.370, 5.46144813372, 1038.04128918680],
|
|
[0.379, 5.56429091578, 131.54696222180],
|
|
[0.441, 5.68196668399, 1781.03134971940],
|
|
[0.361, 5.20616019966, 629.60234557550],
|
|
[0.341, 5.92928351979, 26.82670294300],
|
|
[0.419, 5.26851686707, 85.82729883120],
|
|
[0.322, 0.80223983857, 6283.07584999140],
|
|
[0.323, 3.86700993914, 576.16138801060],
|
|
[0.321, 2.17186032970, 10213.28554621100],
|
|
[0.355, 2.80560859177, 344.70304530790],
|
|
[0.311, 3.77477255556, 1891.23767093880],
|
|
[0.318, 5.22020784209, 142.44965013380],
|
|
[0.315, 0.52272202855, 5849.36411211460],
|
|
[0.428, 4.63722058283, 1898.35121793960],
|
|
[0.337, 0.68198429948, 45.57665103870],
|
|
[0.316, 0.54074780109, 444.75743814070],
|
|
[0.310, 1.41032075652, 273.10284047830],
|
|
[0.311, 3.53744556230, 251.43213107580],
|
|
[0.295, 1.93253015677, 436.15941843160],
|
|
[0.296, 1.97705648834, 9779.57380833420],
|
|
[0.326, 3.67854047003, 963.40270297140],
|
|
[0.389, 5.76841276132, 39.35687591520],
|
|
[0.277, 5.73995694175, 92.79783348010],
|
|
[0.315, 4.96371610197, 757.21715453420],
|
|
[0.295, 1.81638833900, 1493.09366806600],
|
|
[0.287, 0.97698377929, 685.47393735270],
|
|
[0.281, 2.66463042095, 1286.90811962880],
|
|
[0.330, 5.79776922760, 650.94298657790],
|
|
[0.292, 3.97858181479, 472.17484191470],
|
|
[0.266, 4.13716111320, 601.76425067620],
|
|
[0.262, 0.91887592474, 245.54242435240],
|
|
[0.278, 3.08964256591, 778.41478318470],
|
|
[0.277, 3.08750916880, 621.73803904930],
|
|
[0.255, 3.93981592051, 181.05576652360],
|
|
[0.333, 2.04835822938, 561.18353448360],
|
|
[0.247, 2.92754257675, 219.44943459230],
|
|
[0.306, 0.36127922606, 824.74219374880],
|
|
[0.253, 1.80130756458, 5643.17856367740],
|
|
[0.337, 4.97764462199, 175.16605980020],
|
|
[0.273, 0.66599369335, 2008.55753915900],
|
|
[0.227, 4.87285356383, 661.23792731640],
|
|
[0.249, 3.14202895058, 144.14657116320],
|
|
[0.220, 3.93526603081, 319.57326339430],
|
|
[0.212, 5.85248164087, 546.95644048200],
|
|
[0.234, 1.65314711167, 554.06998748280],
|
|
[0.204, 0.88373842674, 31.49256938900],
|
|
[0.205, 2.93169866171, 1596.18644228460],
|
|
[0.201, 3.36504567824, 1080.72257119160],
|
|
[0.224, 4.34612745705, 1382.88734684660],
|
|
[0.192, 5.13697232918, 329.72519178090],
|
|
[0.208, 3.08549771485, 41.64449777560],
|
|
[0.236, 0.07998742860, 1141.13406340540],
|
|
[0.203, 4.13011580915, 2627.11418447060],
|
|
[0.203, 0.13969067385, 1485.98012106520],
|
|
[0.204, 3.38137545713, 699.70103135430],
|
|
[0.212, 4.52370676085, 2310.72231481400],
|
|
[0.218, 5.79277335862, 2221.85663459700],
|
|
[0.213, 0.50441377637, 934.94851496820],
|
|
[0.210, 5.04017633795, 2420.92863603340],
|
|
[0.214, 4.64286758581, 2317.83586181480],
|
|
[0.178, 0.84588580004, 128.36556848410],
|
|
[0.170, 2.75006619605, 710.74673161820],
|
|
[0.171, 4.32615182967, 291.26208774300],
|
|
[0.172, 3.46971306920, 501.37978944330],
|
|
[0.170, 1.05408992106, 526.50957135690],
|
|
[0.162, 1.15683042950, 519.39602435610],
|
|
[0.180, 4.96266204107, 1670.82502850000],
|
|
[0.172, 1.65385549578, 916.93228005540],
|
|
[0.170, 2.30821101766, 429.04587143080],
|
|
[0.170, 5.98716489326, 643.82943957710],
|
|
[0.173, 5.19933564968, 1354.43315884340],
|
|
[0.195, 4.50165508529, 2214.74308759620],
|
|
[0.156, 4.16290662749, 572.22923474750],
|
|
[0.153, 1.23776248578, 2413.81508903260],
|
|
[0.150, 0.63076983213, 1478.86657406440],
|
|
[0.169, 4.28090123029, 305.34616939270],
|
|
[0.174, 6.23077892653, 3384.33133900480],
|
|
[0.149, 3.13274908516, 9573.38825989700],
|
|
[0.162, 6.25601818345, 213.25091132820],
|
|
[0.149, 4.81749019484, 945.99421523210],
|
|
[0.162, 0.88610129190, 216.21985674480],
|
|
[0.133, 2.31915371262, 156.67674413540],
|
|
[0.165, 6.06456216591, 732.69511979410],
|
|
[0.141, 6.14293754333, 1795.25844372100],
|
|
[0.133, 0.06530337135, 218.71572140940],
|
|
[0.162, 3.17058130506, 213.34727954780],
|
|
[0.125, 2.07143636845, 425.11371816770],
|
|
[0.146, 1.88627500632, 211.81462272970],
|
|
[0.113, 2.79541965778, 235.39049596580],
|
|
[0.117, 0.76464798684, 479.28838891550],
|
|
[0.108, 3.95650672786, 570.74476203920],
|
|
[0.106, 0.12820734703, 188.02630117250],
|
|
[0.134, 3.58244908862, 849.26422848890],
|
|
[0.114, 0.25990388555, 398.14400287280],
|
|
[0.112, 2.39181495831, 217.49188113200],
|
|
[0.091, 2.50716605179, 121.25202148330],
|
|
[0.091, 1.75367948574, 213.82036029980],
|
|
[0.088, 5.26121947108, 395.57870223900],
|
|
[0.096, 3.98832609364, 289.56516671360],
|
|
[0.091, 0.35318362186, 312.45971639350],
|
|
[0.112, 1.14387590923, 1802.37199072180],
|
|
[0.082, 3.73605217214, 207.67002114550],
|
|
[0.082, 6.06283262812, 210.37833413120],
|
|
[0.084, 3.34470673492, 67.66805156650],
|
|
[0.086, 2.73917300180, 5863.59120611620],
|
|
[0.083, 2.81499116485, 776.93031047640],
|
|
[0.091, 1.26160093170, 212.77783057620],
|
|
[0.090, 2.08722491981, 2111.65031337760],
|
|
[0.080, 2.13136842916, 421.93232443000],
|
|
[0.082, 4.16358350281, 9793.80090233580],
|
|
[0.077, 2.96973341607, 431.26405732200],
|
|
[0.079, 3.42790361067, 417.03696332040],
|
|
[0.079, 3.18693585419, 320.32402291970],
|
|
[0.080, 0.78975763683, 204.70107572890],
|
|
[0.077, 1.89354243952, 556.51766803760],
|
|
[0.073, 4.85923277221, 2118.76386037840],
|
|
[0.071, 3.64551577433, 198.32124191100],
|
|
],
|
|
# L3
|
|
[
|
|
[16038.734, 5.73945377424, 7.11354700080],
|
|
[4249.793, 4.58539675603, 213.29909543800],
|
|
[1906.524, 4.76082050205, 220.41264243880],
|
|
[1465.687, 5.91326678323, 206.18554843720],
|
|
[1162.041, 5.61973132428, 14.22709400160],
|
|
[1066.581, 3.60816533142, 426.59819087600],
|
|
[239.377, 3.86088273439, 433.71173787680],
|
|
[236.975, 5.76826451465, 199.07200143640],
|
|
[165.641, 5.11641150216, 3.18139373770],
|
|
[131.409, 4.74327544615, 227.52618943960],
|
|
[151.352, 2.73594641861, 639.89728631400],
|
|
[61.630, 4.74287052463, 103.09277421860],
|
|
[63.365, 0.22850089497, 419.48464387520],
|
|
[40.437, 5.47298059144, 21.34064100240],
|
|
[40.205, 5.96420266720, 95.97922721780],
|
|
[38.746, 5.83386199529, 110.20632121940],
|
|
[28.025, 3.01235311514, 647.01083331480],
|
|
[25.029, 0.98808170740, 3.93215326310],
|
|
[18.101, 1.02506397063, 412.37109687440],
|
|
[17.879, 3.31913418974, 309.27832265580],
|
|
[16.208, 3.89825272754, 440.82528487760],
|
|
[15.763, 5.61667809625, 117.31986822020],
|
|
[19.014, 1.91614237463, 853.19638175200],
|
|
[18.262, 4.96738415934, 10.29494073850],
|
|
[12.947, 1.18068953942, 88.86568021700],
|
|
[17.919, 4.20376505349, 216.48048917570],
|
|
[11.453, 5.57520615096, 11.04570026390],
|
|
[10.548, 5.92906266269, 191.95845443560],
|
|
[10.389, 3.94838736947, 209.36694217490],
|
|
[8.650, 3.39335369698, 302.16477565500],
|
|
[7.580, 4.87736913157, 323.50541665740],
|
|
[6.697, 0.38198725552, 632.78373931320],
|
|
[5.864, 1.05621157685, 210.11770170030],
|
|
[5.449, 4.64268475485, 234.63973644040],
|
|
[6.327, 2.25492722762, 522.57741809380],
|
|
[3.602, 2.30677010956, 515.46387109300],
|
|
[3.229, 2.20309400066, 860.30992875280],
|
|
[3.701, 3.14159265359, 0.00000000000],
|
|
[2.583, 4.93447677059, 224.34479570190],
|
|
[2.543, 0.42393884183, 625.67019231240],
|
|
[2.213, 3.19814958289, 202.25339517410],
|
|
[2.421, 4.76621391814, 330.61896365820],
|
|
[2.850, 0.58604395010, 529.69096509460],
|
|
[1.965, 4.39525359412, 124.43341522100],
|
|
[2.154, 1.35488209144, 405.25754987360],
|
|
[2.296, 3.34809165905, 429.77958461370],
|
|
[2.018, 3.06693569701, 654.12438031560],
|
|
[1.979, 1.02981005658, 728.76296653100],
|
|
[1.868, 3.09383546177, 422.66603761290],
|
|
[1.846, 4.15225985450, 536.80451209540],
|
|
[2.194, 1.18918501013, 1066.49547719000],
|
|
[2.090, 4.15631351317, 223.59403617650],
|
|
[1.481, 0.37916705169, 316.39186965660],
|
|
[1.720, 5.82865773356, 195.13984817330],
|
|
[1.460, 1.57663426355, 81.75213321620],
|
|
[1.623, 6.03706764648, 742.99006053260],
|
|
[1.286, 1.66154726117, 63.73589830340],
|
|
[1.304, 5.02409881054, 956.28915597060],
|
|
[1.446, 2.10575519127, 838.96928775040],
|
|
[1.245, 3.88109752770, 269.92144674060],
|
|
[1.018, 3.72599601656, 295.05122865420],
|
|
[1.323, 1.38492882986, 735.87651353180],
|
|
[1.318, 2.33460998999, 217.23124870110],
|
|
[0.943, 2.75813531246, 284.14854074220],
|
|
[0.906, 0.71155526266, 846.08283475120],
|
|
[0.886, 3.83754799777, 447.93883187840],
|
|
[0.943, 3.31480217015, 18.15924726470],
|
|
[0.800, 4.71386673963, 56.62235130260],
|
|
[0.908, 2.02119147951, 831.85574074960],
|
|
[0.787, 0.80410269937, 1045.15483618760],
|
|
[0.709, 4.27064410504, 437.64389113990],
|
|
[0.651, 6.17565900032, 942.06206196900],
|
|
[0.785, 2.40767785311, 203.00415469950],
|
|
[0.702, 1.64585301418, 423.41679713830],
|
|
[0.543, 2.86326941725, 184.84490743480],
|
|
[0.532, 6.25762144463, 1059.38193018920],
|
|
[0.521, 3.43013038466, 149.56319713460],
|
|
[0.484, 4.88366060720, 1272.68102562720],
|
|
[0.437, 5.40220619672, 408.43894361130],
|
|
[0.388, 2.57589594168, 508.35032409220],
|
|
[0.421, 4.05836524024, 543.91805909620],
|
|
[0.375, 1.22747948298, 2324.94940881560],
|
|
[0.347, 0.59237194522, 22.09140052780],
|
|
[0.433, 1.69090148012, 1155.36115740700],
|
|
[0.389, 1.46170367972, 1073.60902419080],
|
|
[0.307, 1.82185086955, 628.85158605010],
|
|
[0.409, 1.21858750514, 1052.26838318840],
|
|
[0.309, 0.33610530663, 6076.89030155420],
|
|
[0.309, 1.42279282226, 6062.66320755260],
|
|
[0.340, 1.83325770310, 1141.13406340540],
|
|
[0.303, 2.41584747330, 127.47179660680],
|
|
[0.305, 5.34154702988, 131.40394986990],
|
|
[0.298, 2.28594631393, 635.96513305090],
|
|
[0.372, 1.03723911390, 313.21047591890],
|
|
[0.338, 0.69100012338, 1361.54670584420],
|
|
[0.325, 1.78816356937, 1148.24761040620],
|
|
[0.322, 1.18628805010, 721.64941953020],
|
|
[0.271, 2.45663156460, 415.55249061210],
|
|
[0.251, 3.12046701975, 1382.88734684660],
|
|
[0.254, 3.00353256829, 618.55664531160],
|
|
[0.295, 0.35280179538, 2730.20695868920],
|
|
[0.242, 1.52154324392, 70.84944530420],
|
|
[0.296, 0.89576757167, 2104.53676637680],
|
|
[0.264, 3.00987438634, 661.23792731640],
|
|
[0.267, 0.31623829657, 1677.93857550080],
|
|
[0.270, 2.56774718753, 643.07868005170],
|
|
[0.261, 1.55058302472, 1457.52593306200],
|
|
[0.246, 2.29214585472, 867.42347575360],
|
|
[0.269, 3.18157515051, 750.10360753340],
|
|
[0.272, 1.12208982319, 1788.14489672020],
|
|
[0.256, 0.37673546414, 1279.79457262800],
|
|
[0.206, 1.81129778306, 497.44763618020],
|
|
[0.251, 0.61933213502, 2413.81508903260],
|
|
[0.237, 3.35941544147, 436.89313161450],
|
|
[0.247, 0.10102936687, 99.91138048090],
|
|
[0.247, 0.93125798111, 52.69019803950],
|
|
[0.221, 2.07880035795, 824.74219374880],
|
|
[0.197, 6.16682223437, 1258.45393162560],
|
|
[0.229, 5.57917534840, 2943.50605412720],
|
|
[0.227, 0.43324651601, 2737.32050569000],
|
|
[0.203, 4.12623986247, 337.73251065900],
|
|
[0.214, 3.57607524509, 934.94851496820],
|
|
[0.212, 1.25688162158, 1773.91780271860],
|
|
[0.215, 0.88867647880, 1038.04128918680],
|
|
[0.244, 5.51572084570, 231.45834270270],
|
|
[0.181, 2.13821830481, 416.30325013750],
|
|
[0.210, 4.19139167658, 2221.85663459700],
|
|
[0.178, 2.91685344537, 74.78159856730],
|
|
[0.201, 0.46214583002, 2854.64037391020],
|
|
[0.236, 4.64388694899, 1905.46476494040],
|
|
[0.199, 1.54991619669, 1471.75302706360],
|
|
[0.199, 0.70725247497, 2420.92863603340],
|
|
[0.162, 2.51488345020, 430.53034413910],
|
|
[0.160, 1.23508694599, 1596.18644228460],
|
|
[0.175, 4.14605894816, 2090.30967237520],
|
|
[0.152, 0.05796022559, 32.24332891440],
|
|
[0.176, 1.29002070623, 490.33408917940],
|
|
[0.154, 3.60622857548, 650.94298657790],
|
|
[0.185, 4.74969742128, 319.57326339430],
|
|
[0.154, 1.54587199996, 1464.63948006280],
|
|
[0.108, 4.25125786500, 145.63104387150],
|
|
[0.106, 1.04047809351, 1162.47470440780],
|
|
[0.114, 2.64055737100, 362.86229257260],
|
|
[0.093, 3.36746275886, 483.22054217860],
|
|
[0.091, 2.05796248692, 210.85141488320],
|
|
[0.091, 4.53336314765, 241.75328344120],
|
|
[0.072, 3.74361312157, 1485.98012106520],
|
|
[0.076, 3.33892447677, 195.89060769870],
|
|
],
|
|
# L4
|
|
[
|
|
[1661.894, 3.99826248978, 7.11354700080],
|
|
[257.107, 2.98436499013, 220.41264243880],
|
|
[236.344, 3.90241428075, 14.22709400160],
|
|
[149.418, 2.74110824208, 213.29909543800],
|
|
[109.598, 1.51515739251, 206.18554843720],
|
|
[113.953, 3.14159265359, 0.00000000000],
|
|
[68.390, 1.72120953337, 426.59819087600],
|
|
[37.699, 1.23795458356, 199.07200143640],
|
|
[40.060, 2.04644897412, 433.71173787680],
|
|
[31.219, 3.01094184090, 227.52618943960],
|
|
[15.111, 0.82897064529, 639.89728631400],
|
|
[9.444, 3.71485300868, 21.34064100240],
|
|
[5.690, 2.41995290633, 419.48464387520],
|
|
[4.470, 1.45120818748, 95.97922721780],
|
|
[5.608, 1.15607095740, 647.01083331480],
|
|
[4.463, 2.11783225176, 440.82528487760],
|
|
[3.229, 4.09278077834, 110.20632121940],
|
|
[2.871, 2.77203153866, 412.37109687440],
|
|
[2.796, 3.00730249564, 88.86568021700],
|
|
[2.638, 0.00255721254, 853.19638175200],
|
|
[2.574, 0.39246854091, 103.09277421860],
|
|
[1.862, 5.07955457727, 309.27832265580],
|
|
[2.225, 3.77689198137, 117.31986822020],
|
|
[1.769, 5.19176876406, 302.16477565500],
|
|
[1.921, 2.82884328662, 234.63973644040],
|
|
[1.805, 2.23816036743, 216.48048917570],
|
|
[1.211, 1.54685246534, 191.95845443560],
|
|
[0.765, 3.44501766503, 323.50541665740],
|
|
[0.763, 4.83197222448, 210.11770170030],
|
|
[0.613, 4.19052656353, 515.46387109300],
|
|
[0.648, 2.28591710303, 209.36694217490],
|
|
[0.616, 4.03194472161, 522.57741809380],
|
|
[0.630, 2.37952532019, 632.78373931320],
|
|
[0.639, 0.29772678242, 860.30992875280],
|
|
[0.559, 2.17110060530, 124.43341522100],
|
|
[0.442, 2.23500083592, 447.93883187840],
|
|
[0.407, 5.44515970990, 1066.49547719000],
|
|
[0.469, 1.26889429317, 654.12438031560],
|
|
[0.488, 3.20329778617, 405.25754987360],
|
|
[0.415, 3.12435410343, 330.61896365820],
|
|
[0.442, 3.38933498625, 81.75213321620],
|
|
[0.332, 4.12464206608, 838.96928775040],
|
|
[0.320, 3.18332026736, 529.69096509460],
|
|
[0.312, 1.40962796637, 429.77958461370],
|
|
[0.291, 3.18885372262, 1464.63948006280],
|
|
[0.333, 2.94355912397, 728.76296653100],
|
|
[0.235, 3.67049647573, 1148.24761040620],
|
|
[0.286, 2.57895004576, 1045.15483618760],
|
|
[0.223, 3.57980034401, 1155.36115740700],
|
|
[0.261, 2.04564143519, 1677.93857550080],
|
|
[0.218, 2.61967125327, 536.80451209540],
|
|
[0.262, 2.48322150677, 625.67019231240],
|
|
[0.191, 4.39064160974, 1574.84580128220],
|
|
[0.176, 1.26161895188, 422.66603761290],
|
|
[0.190, 2.32693171200, 223.59403617650],
|
|
[0.185, 1.08713469614, 742.99006053260],
|
|
[0.168, 0.69946458053, 824.74219374880],
|
|
[0.177, 5.02663339078, 203.00415469950],
|
|
[0.218, 0.40426546037, 867.42347575360],
|
|
[0.178, 3.67593243311, 831.85574074960],
|
|
[0.175, 5.75326979098, 1073.60902419080],
|
|
[0.156, 3.02120117572, 1781.03134971940],
|
|
[0.148, 2.28313808274, 295.05122865420],
|
|
[0.150, 3.48436135302, 956.28915597060],
|
|
[0.152, 1.91404443241, 942.06206196900],
|
|
[0.146, 6.16519696640, 316.39186965660],
|
|
[0.096, 2.93247663741, 224.34479570190],
|
|
[0.088, 4.48383632427, 423.41679713830],
|
|
],
|
|
# L5
|
|
[
|
|
[123.615, 2.25923345732, 7.11354700080],
|
|
[34.190, 2.16250652689, 14.22709400160],
|
|
[27.546, 1.19868150215, 220.41264243880],
|
|
[5.818, 1.21584270184, 227.52618943960],
|
|
[5.318, 0.23550400093, 433.71173787680],
|
|
[3.677, 6.22669694355, 426.59819087600],
|
|
[3.057, 2.97372046322, 199.07200143640],
|
|
[2.861, 4.28710932685, 206.18554843720],
|
|
[1.617, 6.25265362286, 213.29909543800],
|
|
[1.279, 5.27612561266, 639.89728631400],
|
|
[0.932, 5.56741549127, 647.01083331480],
|
|
[0.756, 6.17716234487, 191.95845443560],
|
|
[0.760, 0.69475544472, 302.16477565500],
|
|
[1.038, 0.23516951637, 440.82528487760],
|
|
[1.007, 3.14159265359, 0.00000000000],
|
|
[0.549, 4.87733288264, 88.86568021700],
|
|
[0.504, 4.77955496203, 419.48464387520],
|
|
[0.346, 4.31847547394, 853.19638175200],
|
|
[0.392, 5.69922389094, 654.12438031560],
|
|
[0.242, 2.05052677361, 323.50541665740],
|
|
[0.266, 1.11384528244, 234.63973644040],
|
|
[0.199, 0.88505901097, 309.27832265580],
|
|
[0.258, 5.10074489186, 95.97922721780],
|
|
[0.166, 2.40063312194, 515.46387109300],
|
|
[0.155, 4.70433216164, 860.30992875280],
|
|
[0.089, 1.36371070380, 412.37109687440],
|
|
[0.102, 0.49450039082, 117.31986822020],
|
|
],
|
|
]
|
|
"""This table contains Saturn'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
|
|
435-440."""
|
|
|
|
|
|
VSOP87_B = [
|
|
# B0
|
|
[
|
|
[4330678.040, 3.60284428399, 213.29909543800],
|
|
[240348.303, 2.85238489390, 426.59819087600],
|
|
[84745.939, 0.00000000000, 0.00000000000],
|
|
[30863.357, 3.48441504465, 220.41264243880],
|
|
[34116.063, 0.57297307844, 206.18554843720],
|
|
[14734.070, 2.11846597870, 639.89728631400],
|
|
[9916.668, 5.79003189405, 419.48464387520],
|
|
[6993.564, 4.73604689179, 7.11354700080],
|
|
[4807.587, 5.43305315602, 316.39186965660],
|
|
[4788.392, 4.96512927420, 110.20632121940],
|
|
[3432.125, 2.73255752123, 433.71173787680],
|
|
[1506.129, 6.01304536144, 103.09277421860],
|
|
[1060.298, 5.63099292414, 529.69096509460],
|
|
[969.071, 5.20434966103, 632.78373931320],
|
|
[942.050, 1.39646678088, 853.19638175200],
|
|
[707.645, 3.80302329547, 323.50541665740],
|
|
[552.313, 5.13149109045, 202.25339517410],
|
|
[399.675, 3.35891413961, 227.52618943960],
|
|
[316.063, 1.99716764199, 647.01083331480],
|
|
[319.380, 3.62571550980, 209.36694217490],
|
|
[284.494, 4.88648481625, 224.34479570190],
|
|
[314.225, 0.46510272410, 217.23124870110],
|
|
[236.442, 2.13887472281, 11.04570026390],
|
|
[215.354, 5.94982610103, 846.08283475120],
|
|
[208.522, 2.12003893769, 415.55249061210],
|
|
[178.958, 2.95361514672, 63.73589830340],
|
|
[207.213, 0.73021462851, 199.07200143640],
|
|
[139.140, 1.99821990940, 735.87651353180],
|
|
[134.884, 5.24500819605, 742.99006053260],
|
|
[140.585, 0.64417620299, 490.33408917940],
|
|
[121.669, 3.11537140876, 522.57741809380],
|
|
[139.240, 4.59535168021, 14.22709400160],
|
|
[115.524, 3.10891547171, 216.48048917570],
|
|
[114.218, 0.96261442133, 210.11770170030],
|
|
[96.376, 4.48164339766, 117.31986822020],
|
|
[80.593, 1.31692750150, 277.03499374140],
|
|
[72.952, 3.05988482370, 536.80451209540],
|
|
[69.261, 4.92378633635, 309.27832265580],
|
|
[74.302, 2.89376539620, 149.56319713460],
|
|
[68.040, 2.18002263974, 351.81659230870],
|
|
[61.734, 0.67728106562, 1066.49547719000],
|
|
[56.598, 2.60963391288, 440.82528487760],
|
|
[48.864, 5.78725874107, 95.97922721780],
|
|
[48.243, 2.18211837430, 74.78159856730],
|
|
[38.304, 5.29151303843, 1059.38193018920],
|
|
[36.323, 1.63348365121, 628.85158605010],
|
|
[35.055, 1.71279210041, 1052.26838318840],
|
|
[34.270, 2.45740470599, 422.66603761290],
|
|
[34.313, 5.97994514798, 412.37109687440],
|
|
[33.787, 1.14073392951, 949.17560896980],
|
|
[31.633, 4.14722153007, 437.64389113990],
|
|
[36.833, 6.27769966148, 1162.47470440780],
|
|
[26.980, 1.27154816810, 860.30992875280],
|
|
[23.516, 2.74936525342, 838.96928775040],
|
|
[23.460, 0.98962849901, 210.85141488320],
|
|
[23.600, 4.11386961467, 3.93215326310],
|
|
[23.631, 3.07427204313, 215.74677599280],
|
|
[20.813, 3.51084686918, 330.61896365820],
|
|
[19.509, 2.81857577372, 127.47179660680],
|
|
[17.103, 3.89784279922, 214.26230328450],
|
|
[17.635, 6.19715516746, 703.63318461740],
|
|
[17.824, 2.28524493886, 388.46515523820],
|
|
[20.935, 0.14356167048, 430.53034413910],
|
|
[16.551, 1.66649120724, 38.13303563780],
|
|
[19.100, 2.97699096081, 137.03302416240],
|
|
[15.517, 4.54798410406, 956.28915597060],
|
|
[17.065, 0.16611115812, 212.33588759150],
|
|
[14.169, 0.48937283445, 213.34727954780],
|
|
[19.027, 6.27326062836, 423.41679713830],
|
|
[13.344, 2.37136126257, 429.77958461370],
|
|
[12.565, 1.03178071173, 563.63121503840],
|
|
[14.173, 3.57477564831, 213.25091132820],
|
|
[11.374, 1.45300927024, 1368.66025284500],
|
|
[10.585, 6.17633425930, 200.76892246580],
|
|
[10.600, 3.84358958373, 138.51749687070],
|
|
[10.263, 2.17423692422, 76.26607127560],
|
|
[10.072, 1.33197220789, 565.11568774670],
|
|
[12.058, 0.44149242700, 222.86032299360],
|
|
[10.367, 1.85278552549, 350.33211960040],
|
|
[8.706, 2.58144528603, 1155.36115740700],
|
|
[8.470, 1.97890349826, 625.67019231240],
|
|
[8.518, 4.51649648578, 3.18139373770],
|
|
[7.439, 4.92597321442, 212.77783057620],
|
|
[7.409, 2.03506679104, 288.08069400530],
|
|
[8.137, 3.98500592467, 85.82729883120],
|
|
[7.985, 2.20794292064, 362.86229257260],
|
|
[6.610, 6.14944028835, 417.03696332040],
|
|
[7.753, 6.23664549070, 1478.86657406440],
|
|
[6.318, 1.87388481013, 654.12438031560],
|
|
[6.319, 1.17328438271, 1265.56747862640],
|
|
[5.841, 2.35829915285, 750.10360753340],
|
|
[5.808, 5.01602242794, 479.28838891550],
|
|
[8.079, 0.42574715104, 554.06998748280],
|
|
[6.014, 5.58952234348, 425.11371816770],
|
|
[7.444, 5.41859596459, 213.82036029980],
|
|
[7.567, 2.68446523795, 191.20769491020],
|
|
[7.421, 4.19354269508, 9.56122755560],
|
|
[5.466, 3.21737829505, 234.63973644040],
|
|
[5.661, 1.46982713550, 265.98929347750],
|
|
[5.851, 4.81776629912, 1.48447270830],
|
|
[5.341, 3.45755372717, 203.73786788240],
|
|
[4.960, 1.04628615559, 12.53017297220],
|
|
[4.920, 3.85622235967, 173.94221952280],
|
|
[4.883, 1.94823282939, 195.13984817330],
|
|
[5.621, 0.81869581274, 52.69019803950],
|
|
[5.200, 3.32827437636, 515.46387109300],
|
|
[4.927, 3.81806549732, 225.82926841020],
|
|
[5.033, 0.10756875163, 252.65597135320],
|
|
[4.416, 5.45506938037, 408.43894361130],
|
|
[4.169, 1.21145214135, 1685.05212250160],
|
|
[4.066, 6.24213578122, 1279.79457262800],
|
|
[3.972, 6.13850317719, 217.49188113200],
|
|
[5.398, 5.67212179194, 1375.77379984580],
|
|
[3.916, 5.96105725915, 210.37833413120],
|
|
[4.017, 0.99840226682, 842.15068148810],
|
|
[3.899, 4.58983662507, 1272.68102562720],
|
|
[3.764, 3.30663337976, 212.54833591260],
|
|
[4.345, 3.18562241830, 414.06801790380],
|
|
[3.565, 4.75262007127, 207.88246946660],
|
|
[3.542, 2.30814954338, 1471.75302706360],
|
|
[3.732, 1.61040235688, 635.96513305090],
|
|
[3.709, 2.97082943086, 223.59403617650],
|
|
[3.576, 3.83436862558, 483.22054217860],
|
|
[4.053, 3.72105017218, 942.06206196900],
|
|
[3.756, 0.74987556308, 214.04985496340],
|
|
[3.162, 3.64550741000, 207.67002114550],
|
|
[3.149, 2.27647454229, 728.76296653100],
|
|
[3.971, 4.37874143597, 216.21985674480],
|
|
[3.541, 5.62281936827, 218.71572140940],
|
|
[2.965, 3.40117024932, 650.94298657790],
|
|
[3.949, 4.19728912450, 209.10630974400],
|
|
[2.853, 4.81077453523, 231.45834270270],
|
|
[2.826, 0.86682282341, 217.96496188400],
|
|
[2.970, 5.75162134301, 160.60889739850],
|
|
[2.724, 0.47941267764, 497.44763618020],
|
|
[2.787, 4.03144791896, 62.25142559510],
|
|
[2.605, 5.04152791794, 65.22037101170],
|
|
[2.652, 0.30602610654, 424.15051032120],
|
|
[2.543, 2.76499056123, 543.91805909620],
|
|
[2.485, 5.78396049817, 99.16062095550],
|
|
[3.209, 0.42853440759, 218.92816973050],
|
|
[2.509, 2.94704589100, 70.84944530420],
|
|
[2.308, 0.63861650866, 251.43213107580],
|
|
[2.869, 4.31959346745, 767.36908292080],
|
|
[2.232, 0.56929937568, 1073.60902419080],
|
|
[2.245, 1.69945964547, 488.84961647110],
|
|
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|
[0.153, 3.07590434707, 3480.31056622260],
|
|
[0.125, 3.41796878361, 1802.37199072180],
|
|
[0.128, 5.83700968658, 2324.94940881560],
|
|
[0.129, 2.75851443754, 480.77286162380],
|
|
[0.122, 4.75728514255, 2854.64037391020],
|
|
[0.129, 4.67730374872, 913.96333463880],
|
|
[0.121, 1.19957548726, 572.22923474750],
|
|
[0.146, 3.71232877850, 546.95644048200],
|
|
[0.120, 4.59083886034, 339.28641933650],
|
|
[0.127, 6.19372294369, 59.80374504030],
|
|
[0.123, 5.98484393970, 477.80391620720],
|
|
[0.122, 5.82973501131, 990.22940591440],
|
|
[0.151, 2.39413061881, 2524.02141025200],
|
|
[0.147, 4.98199291770, 850.01498801430],
|
|
[0.127, 0.47350572907, 6.59228213900],
|
|
[0.116, 4.71488890981, 1130.23137549340],
|
|
[0.129, 5.42665311725, 2538.24850425360],
|
|
[0.111, 4.51520219898, 1699.27921650320],
|
|
[0.114, 2.06120434865, 952.09637027660],
|
|
[0.112, 4.14736642579, 422.40540518200],
|
|
[0.111, 5.53230411085, 857.12853501510],
|
|
[0.109, 3.00005651288, 420.44785172170],
|
|
[0.112, 2.20667724213, 395.57870223900],
|
|
[0.147, 1.52324472511, 552.58551477450],
|
|
[0.118, 5.47495367121, 2957.73314812880],
|
|
[0.113, 2.57036693965, 462.02291352810],
|
|
[0.122, 4.96246567897, 638.93407846750],
|
|
[0.104, 1.91139383428, 472.17484191470],
|
|
[0.116, 2.82742160564, 450.97721326420],
|
|
[0.115, 2.26043201622, 1781.03134971940],
|
|
[0.110, 4.86686492403, 2914.01423582380],
|
|
[0.109, 4.43848727280, 405.99126305650],
|
|
[0.102, 5.90112611078, 99.91138048090],
|
|
[0.101, 2.53392410330, 640.86049416050],
|
|
[0.112, 5.53802838779, 381.35160823740],
|
|
[0.099, 5.92199927896, 411.62033734900],
|
|
[0.100, 5.21941099517, 426.48631629140],
|
|
[0.137, 2.20269111622, 7.16173111060],
|
|
[0.097, 1.27914551364, 2847.52682690940],
|
|
[0.115, 5.22953781515, 1119.18567522950],
|
|
[0.095, 4.26135357007, 540.73666535850],
|
|
[0.098, 5.27107833435, 639.94547042380],
|
|
[0.107, 4.38879925113, 412.58354519550],
|
|
[0.093, 5.35954173624, 334.55111692130],
|
|
[0.094, 1.16749092536, 5643.17856367740],
|
|
[0.106, 4.19443004843, 486.40193591630],
|
|
[0.096, 0.59816870672, 714.67888488130],
|
|
[0.094, 0.54205024076, 423.62924545940],
|
|
[0.109, 2.82817225044, 468.24268865160],
|
|
[0.083, 6.12100285205, 380.12776796000],
|
|
[0.084, 2.20217125255, 909.81873305460],
|
|
[0.085, 5.20920130934, 562.14674233010],
|
|
[0.105, 2.66415710279, 460.53844081980],
|
|
[0.084, 0.14646013561, 681.54178408960],
|
|
[0.080, 3.03551986945, 409.92341631960],
|
|
[0.097, 5.09373549436, 92.04707395470],
|
|
[0.110, 2.03622569317, 642.34496686880],
|
|
[0.080, 5.71035549752, 361.37781986430],
|
|
[0.084, 3.00961145133, 426.81063919710],
|
|
[0.085, 4.28770375688, 135.54855145410],
|
|
[0.093, 5.32943472274, 432.01481684740],
|
|
[0.086, 1.51247258028, 760.25553592000],
|
|
[0.084, 5.83905303748, 426.38574255490],
|
|
[0.100, 3.62925349363, 426.71006546060],
|
|
[0.094, 4.30151510535, 3377.21779200400],
|
|
[0.098, 2.07334671974, 639.84910220420],
|
|
[0.080, 4.11576173565, 774.48262992160],
|
|
[0.075, 2.89122656610, 806.72595883600],
|
|
[0.080, 0.88468467902, 856.37777548970],
|
|
[0.072, 4.85259171933, 392.65794093220],
|
|
[0.083, 0.11133738383, 402.21916848780],
|
|
],
|
|
# B1
|
|
[
|
|
[397554.998, 5.33289992556, 213.29909543800],
|
|
[49478.641, 3.14159265359, 0.00000000000],
|
|
[18571.607, 6.09919206378, 426.59819087600],
|
|
[14800.587, 2.30586060520, 206.18554843720],
|
|
[9643.981, 1.69674660120, 220.41264243880],
|
|
[3757.161, 1.25429514018, 419.48464387520],
|
|
[2716.647, 5.91166664787, 639.89728631400],
|
|
[1455.309, 0.85161616532, 433.71173787680],
|
|
[1290.595, 2.91770857090, 7.11354700080],
|
|
[852.630, 0.43572078997, 316.39186965660],
|
|
[284.386, 1.61881754773, 227.52618943960],
|
|
[292.185, 5.31574251270, 853.19638175200],
|
|
[275.090, 3.88864137336, 103.09277421860],
|
|
[297.726, 0.91909206723, 632.78373931320],
|
|
[172.359, 0.05215146556, 647.01083331480],
|
|
[127.731, 1.20711452525, 529.69096509460],
|
|
[166.237, 2.44351613165, 199.07200143640],
|
|
[158.220, 5.20850125766, 110.20632121940],
|
|
[109.839, 2.45695551627, 217.23124870110],
|
|
[81.759, 2.75839171353, 210.11770170030],
|
|
[81.010, 2.86038377187, 14.22709400160],
|
|
[68.658, 1.65537623146, 202.25339517410],
|
|
[59.281, 1.82410768234, 323.50541665740],
|
|
[65.161, 1.25527521313, 216.48048917570],
|
|
[61.024, 1.25273412095, 209.36694217490],
|
|
[46.386, 0.81534705304, 440.82528487760],
|
|
[36.163, 1.81851057689, 224.34479570190],
|
|
[34.041, 2.83971297997, 117.31986822020],
|
|
[32.164, 1.18676132343, 846.08283475120],
|
|
[33.114, 1.30557080010, 412.37109687440],
|
|
[27.282, 4.64744847591, 1066.49547719000],
|
|
[22.805, 4.12923703368, 415.55249061210],
|
|
[27.128, 4.44228739187, 11.04570026390],
|
|
[18.100, 5.56392353608, 860.30992875280],
|
|
[20.851, 1.40999273740, 309.27832265580],
|
|
[14.947, 1.34302610607, 95.97922721780],
|
|
[15.316, 1.22393617996, 63.73589830340],
|
|
[14.601, 1.00753704970, 536.80451209540],
|
|
[12.842, 2.27059911053, 742.99006053260],
|
|
[12.832, 4.88898877901, 522.57741809380],
|
|
[13.137, 2.45991904379, 490.33408917940],
|
|
[11.883, 1.87308666696, 423.41679713830],
|
|
[13.027, 3.21731634178, 277.03499374140],
|
|
[9.946, 3.11650057543, 625.67019231240],
|
|
[12.710, 0.29501589197, 422.66603761290],
|
|
[9.644, 1.74586356703, 330.61896365820],
|
|
[8.079, 2.41931187953, 430.53034413910],
|
|
[8.245, 4.68121931659, 215.74677599280],
|
|
[8.958, 0.46482448501, 429.77958461370],
|
|
[6.547, 3.01351967549, 949.17560896980],
|
|
[7.251, 5.97098186912, 149.56319713460],
|
|
[6.056, 1.49115011100, 234.63973644040],
|
|
[5.791, 5.36720639912, 735.87651353180],
|
|
[5.994, 0.02442871989, 654.12438031560],
|
|
[6.647, 3.90879134581, 351.81659230870],
|
|
[6.824, 1.52456408861, 437.64389113990],
|
|
[5.134, 3.81149834833, 74.78159856730],
|
|
[3.959, 5.63505813057, 210.85141488320],
|
|
[3.811, 2.63992803111, 3.18139373770],
|
|
[3.643, 1.73267151007, 1059.38193018920],
|
|
[3.554, 4.98621474362, 3.93215326310],
|
|
[4.568, 4.33599514584, 628.85158605010],
|
|
[3.145, 2.51404811765, 1162.47470440780],
|
|
[3.522, 1.16093567319, 223.59403617650],
|
|
[2.933, 2.06057834252, 956.28915597060],
|
|
[2.644, 5.62559379305, 203.73786788240],
|
|
[2.992, 5.06312015437, 515.46387109300],
|
|
[2.304, 2.73123930535, 21.34064100240],
|
|
[2.168, 2.91805928238, 203.00415469950],
|
|
[2.398, 3.99421633537, 1279.79457262800],
|
|
[2.146, 0.87500689888, 408.43894361130],
|
|
[2.074, 1.65731069687, 137.03302416240],
|
|
[1.797, 1.56879308343, 124.43341522100],
|
|
[2.088, 1.85721384366, 138.51749687070],
|
|
[1.769, 4.82294294946, 1073.60902419080],
|
|
[1.635, 1.20387813348, 88.86568021700],
|
|
[2.202, 5.93027042684, 1052.26838318840],
|
|
[1.843, 0.22126910774, 750.10360753340],
|
|
[1.851, 2.45470409290, 340.77089204480],
|
|
[1.890, 0.41025631859, 127.47179660680],
|
|
[1.582, 5.63360832372, 214.26230328450],
|
|
[1.920, 3.77935901504, 350.33211960040],
|
|
[1.786, 5.78644477326, 635.96513305090],
|
|
[1.497, 3.13026893210, 703.63318461740],
|
|
[1.583, 3.46882532865, 38.13303563780],
|
|
[1.577, 4.02973226017, 388.46515523820],
|
|
[1.645, 5.59115773632, 483.22054217860],
|
|
[1.405, 4.07880624509, 728.76296653100],
|
|
[1.498, 5.87094430469, 362.86229257260],
|
|
[1.317, 2.22386203585, 213.34727954780],
|
|
[1.321, 2.91534782718, 1265.56747862640],
|
|
[1.307, 5.41748323885, 217.96496188400],
|
|
[1.483, 0.91111666841, 543.91805909620],
|
|
[1.291, 2.62333801070, 554.06998748280],
|
|
[1.406, 0.34582712649, 85.82729883120],
|
|
[1.287, 2.82247279651, 231.45834270270],
|
|
[1.563, 4.88438049382, 208.63322899200],
|
|
[1.316, 5.30963570131, 213.25091132820],
|
|
[1.164, 1.39531381032, 210.37833413120],
|
|
[1.295, 2.46089213219, 200.76892246580],
|
|
[1.236, 3.03659580871, 838.96928775040],
|
|
[1.449, 4.00934078371, 195.13984817330],
|
|
[1.251, 1.46674521697, 218.71572140940],
|
|
[1.568, 1.89939852487, 212.33588759150],
|
|
[1.067, 5.34734443894, 207.67002114550],
|
|
[1.111, 0.70962013461, 447.93883187840],
|
|
[1.012, 1.37217220640, 636.71589257630],
|
|
[1.163, 6.00108996618, 191.20769491020],
|
|
[0.887, 2.84483069917, 191.95845443560],
|
|
[1.005, 2.72373040634, 1478.86657406440],
|
|
[0.879, 1.19585734916, 417.03696332040],
|
|
[0.829, 4.94182950387, 497.44763618020],
|
|
[0.878, 6.24981924813, 265.98929347750],
|
|
[0.781, 4.61973017912, 424.15051032120],
|
|
[0.924, 3.64210508536, 222.86032299360],
|
|
[0.971, 2.89404568581, 563.63121503840],
|
|
[0.946, 5.72987725592, 1368.66025284500],
|
|
[0.834, 6.12384852532, 209.10630974400],
|
|
[0.911, 1.06795057723, 650.94298657790],
|
|
[0.731, 0.81660632103, 142.44965013380],
|
|
[0.795, 5.54574074566, 76.26607127560],
|
|
[1.012, 5.97140626297, 643.07868005170],
|
|
[0.703, 2.41479303782, 10.29494073850],
|
|
[0.726, 4.52598413209, 565.11568774670],
|
|
[0.691, 2.31682364985, 160.60889739850],
|
|
[0.695, 0.37889317398, 212.77783057620],
|
|
[0.676, 4.43606270900, 842.15068148810],
|
|
[0.769, 4.47368582271, 52.69019803950],
|
|
[0.658, 0.32331118921, 621.73803904930],
|
|
[0.838, 4.68035046143, 288.08069400530],
|
|
[0.674, 5.63961963995, 867.42347575360],
|
|
[0.695, 1.32062509205, 1169.58825140860],
|
|
[0.841, 2.46995220838, 1375.77379984580],
|
|
[0.633, 3.46145143241, 18.15924726470],
|
|
[0.722, 0.04119071457, 269.92144674060],
|
|
[0.757, 2.15030650611, 207.88246946660],
|
|
[0.692, 0.87072324976, 213.82036029980],
|
|
[0.602, 0.85288769518, 225.82926841020],
|
|
[0.635, 4.76109030475, 831.85574074960],
|
|
[0.701, 1.20410854661, 479.28838891550],
|
|
[0.624, 2.30585779534, 643.82943957710],
|
|
[0.582, 0.18811617696, 1.48447270830],
|
|
[0.513, 2.56525967840, 404.50679034820],
|
|
[0.502, 4.97423814367, 212.54833591260],
|
|
[0.644, 2.10955154583, 1272.68102562720],
|
|
[0.467, 4.47217820662, 235.39049596580],
|
|
[0.566, 4.44740324446, 429.04587143080],
|
|
[0.448, 0.57491120802, 22.09140052780],
|
|
[0.520, 1.15131866397, 337.73251065900],
|
|
[0.476, 4.78513362967, 218.92816973050],
|
|
[0.519, 0.61616177345, 436.89313161450],
|
|
[0.442, 2.10204008144, 416.30325013750],
|
|
[0.536, 1.08779067908, 344.70304530790],
|
|
[0.477, 2.42483193385, 216.21985674480],
|
|
[0.469, 5.22622034028, 942.06206196900],
|
|
[0.392, 0.41137926465, 302.16477565500],
|
|
[0.400, 5.17216478470, 414.06801790380],
|
|
[0.383, 3.58419227076, 1045.15483618760],
|
|
[0.443, 1.11051326413, 425.11371816770],
|
|
[0.517, 3.44547026103, 12.53017297220],
|
|
[0.369, 1.60095273908, 56.62235130260],
|
|
[0.354, 2.79123486392, 1581.95934828300],
|
|
[0.405, 5.93402105921, 173.94221952280],
|
|
[0.319, 4.31850876624, 219.44943459230],
|
|
[0.330, 0.62529198264, 358.93013930950],
|
|
[0.305, 0.82404423420, 1485.98012106520],
|
|
[0.391, 2.59385552893, 1795.25844372100],
|
|
[0.291, 3.12019266878, 217.49188113200],
|
|
[0.294, 2.18552193901, 444.75743814070],
|
|
[0.281, 0.77791302266, 757.21715453420],
|
|
[0.355, 5.44570491928, 1685.05212250160],
|
|
[0.305, 2.65927043884, 355.74874557180],
|
|
[0.269, 6.00323720265, 934.94851496820],
|
|
[0.287, 2.60486363576, 113.38771495710],
|
|
[0.348, 0.98872551635, 70.84944530420],
|
|
[0.331, 5.62133883922, 9.56122755560],
|
|
[0.255, 4.14086605030, 284.14854074220],
|
|
[0.311, 6.27145060602, 207.14875628370],
|
|
[0.267, 4.72606312146, 696.51963761660],
|
|
[0.319, 4.68828119248, 1155.36115740700],
|
|
[0.227, 3.10352674343, 1361.54670584420],
|
|
[0.228, 1.19253095837, 1589.07289528380],
|
|
[0.244, 5.36327976010, 245.54242435240],
|
|
[0.218, 2.16069250901, 177.87437278590],
|
|
[0.254, 4.51652534648, 1148.24761040620],
|
|
[0.211, 2.82699627326, 106.27416795630],
|
|
[0.230, 4.63171743406, 107.02492748170],
|
|
[0.201, 4.52152562223, 508.35032409220],
|
|
[0.230, 5.93560798508, 618.55664531160],
|
|
[0.253, 2.08074949572, 252.65597135320],
|
|
[0.234, 2.43423283339, 1692.16566950240],
|
|
[0.196, 1.01284131123, 114.39910691340],
|
|
[0.196, 2.73629728926, 214.04985496340],
|
|
[0.191, 1.51642829677, 6069.77675455340],
|
|
[0.252, 5.10097595426, 1258.45393162560],
|
|
[0.240, 2.93712394928, 916.93228005540],
|
|
[0.224, 4.42406538277, 251.43213107580],
|
|
[0.223, 2.34400676548, 1677.93857550080],
|
|
[0.228, 5.00073557208, 1574.84580128220],
|
|
[0.183, 5.09056895026, 220.46082654860],
|
|
[0.178, 6.05669760153, 206.13736432740],
|
|
[0.185, 3.73859309582, 114.13847448250],
|
|
[0.200, 1.89409546254, 2420.92863603340],
|
|
[0.158, 2.78517362162, 2008.55753915900],
|
|
[0.191, 2.28724146195, 2435.15573003500],
|
|
[0.188, 4.29343910228, 1471.75302706360],
|
|
[0.155, 5.35194123420, 576.16138801060],
|
|
[0.174, 2.80423114755, 1781.03134971940],
|
|
[0.166, 5.32531835813, 2001.44399215820],
|
|
[0.165, 2.62993712087, 525.49817940060],
|
|
[0.141, 4.73916921092, 501.37978944330],
|
|
[0.161, 5.83368523750, 181.05576652360],
|
|
[0.137, 1.45135867137, 131.54696222180],
|
|
[0.157, 3.22870773657, 1493.09366806600],
|
|
[0.136, 4.20279658293, 710.74673161820],
|
|
[0.144, 4.61003572124, 121.25202148330],
|
|
[0.131, 5.85409245557, 175.16605980020],
|
|
[0.144, 0.96056164245, 214.78356814630],
|
|
[0.146, 3.95687956474, 421.93232443000],
|
|
[0.138, 1.03080573610, 4.66586644600],
|
|
[0.167, 1.97508934614, 62.25142559510],
|
|
[0.123, 2.28640485589, 1898.35121793960],
|
|
[0.168, 4.63122081226, 1891.23767093880],
|
|
[0.129, 0.05327999225, 211.81462272970],
|
|
[0.134, 3.49720535944, 488.84961647110],
|
|
[0.117, 3.43819501459, 436.15941843160],
|
|
[0.125, 5.87007326241, 963.40270297140],
|
|
[0.120, 0.70795300239, 81.75213321620],
|
|
[0.125, 4.50999471095, 2317.83586181480],
|
|
[0.116, 6.11600926571, 558.00214074590],
|
|
[0.117, 4.78666549046, 601.76425067620],
|
|
[0.108, 0.45464469172, 1802.37199072180],
|
|
[0.111, 1.44669239244, 2531.13495725280],
|
|
[0.109, 6.14289264597, 151.04766984290],
|
|
[0.113, 4.05600865495, 1286.90811962880],
|
|
[0.129, 5.13936946160, 849.26422848890],
|
|
[0.127, 3.88189432056, 98.89998852460],
|
|
[0.133, 2.38290634070, 2111.65031337760],
|
|
[0.122, 4.40757611742, 778.41478318470],
|
|
[0.095, 0.07909774752, 213.41097002260],
|
|
[0.095, 1.66925524906, 213.18722085340],
|
|
[0.103, 1.88058957173, 99.16062095550],
|
|
[0.119, 3.62785705509, 248.72381809010],
|
|
[0.090, 4.63029999228, 228.27694896500],
|
|
[0.092, 5.48700119144, 767.36908292080],
|
|
[0.089, 4.61331934339, 431.26405732200],
|
|
[0.099, 3.60670326134, 776.93031047640],
|
|
[0.085, 4.93878023673, 2.44768055480],
|
|
[0.089, 6.24541644164, 661.23792731640],
|
|
[0.085, 0.45896349060, 1382.88734684660],
|
|
[0.088, 3.81144552178, 1788.14489672020],
|
|
[0.103, 3.20558404998, 312.19908396260],
|
|
[0.080, 2.28889729136, 213.08664711690],
|
|
[0.080, 5.74264101239, 213.51154375910],
|
|
[0.082, 3.23546757052, 198.32124191100],
|
|
[0.078, 6.03841191050, 835.03713448730],
|
|
[0.080, 0.22601918692, 427.56139872250],
|
|
[0.072, 2.05164614795, 2634.22773147140],
|
|
[0.091, 5.97938003596, 556.51766803760],
|
|
[0.087, 2.71469794199, 617.80588578620],
|
|
],
|
|
# B2
|
|
[
|
|
[20629.977, 0.50482422817, 213.29909543800],
|
|
[3719.555, 3.99833475829, 206.18554843720],
|
|
[1627.158, 6.18189939500, 220.41264243880],
|
|
[1346.067, 0.00000000000, 0.00000000000],
|
|
[705.842, 3.03914308836, 419.48464387520],
|
|
[365.042, 5.09928680706, 426.59819087600],
|
|
[329.632, 5.27899210039, 433.71173787680],
|
|
[219.335, 3.82841533795, 639.89728631400],
|
|
[139.393, 1.04272623499, 7.11354700080],
|
|
[103.980, 6.15730992966, 227.52618943960],
|
|
[92.961, 1.97994412845, 316.39186965660],
|
|
[71.242, 4.14754353431, 199.07200143640],
|
|
[51.927, 2.88364833898, 632.78373931320],
|
|
[48.961, 4.43390206741, 647.01083331480],
|
|
[41.373, 3.15927770079, 853.19638175200],
|
|
[28.602, 4.52978327558, 210.11770170030],
|
|
[23.969, 1.11595912146, 14.22709400160],
|
|
[20.511, 4.35095844197, 217.23124870110],
|
|
[19.532, 5.30779711223, 440.82528487760],
|
|
[18.263, 0.85391476786, 110.20632121940],
|
|
[15.742, 4.25767226302, 103.09277421860],
|
|
[16.840, 5.68112084135, 216.48048917570],
|
|
[13.613, 2.99904334066, 412.37109687440],
|
|
[11.567, 2.52679928410, 529.69096509460],
|
|
[7.963, 3.31512423920, 202.25339517410],
|
|
[6.599, 0.28766025146, 323.50541665740],
|
|
[6.312, 1.16121321336, 117.31986822020],
|
|
[5.891, 3.58260177246, 309.27832265580],
|
|
[6.648, 5.55714129949, 209.36694217490],
|
|
[5.590, 2.47783944511, 1066.49547719000],
|
|
[6.192, 3.61231886519, 860.30992875280],
|
|
[4.231, 3.02212363572, 846.08283475120],
|
|
[3.612, 4.79935735435, 625.67019231240],
|
|
[3.398, 3.76732731354, 423.41679713830],
|
|
[3.387, 6.04222745633, 234.63973644040],
|
|
[2.578, 5.63610668746, 735.87651353180],
|
|
[2.831, 4.81642822334, 429.77958461370],
|
|
[2.817, 4.47516563908, 654.12438031560],
|
|
[2.573, 0.22467245054, 522.57741809380],
|
|
[2.610, 3.29126967191, 95.97922721780],
|
|
[2.419, 0.02986335489, 415.55249061210],
|
|
[2.112, 4.55964179603, 422.66603761290],
|
|
[2.304, 6.25081073546, 330.61896365820],
|
|
[1.758, 5.53430456858, 536.80451209540],
|
|
[1.814, 5.05675881426, 277.03499374140],
|
|
[1.550, 5.60375604692, 223.59403617650],
|
|
[1.457, 4.47767649852, 430.53034413910],
|
|
[1.607, 5.53599550100, 224.34479570190],
|
|
[1.172, 4.71017775994, 203.00415469950],
|
|
[1.231, 0.25115931880, 3.93215326310],
|
|
[1.105, 1.01595427676, 21.34064100240],
|
|
[0.868, 4.84623483952, 949.17560896980],
|
|
[0.939, 1.35429452093, 742.99006053260],
|
|
[0.693, 6.03599130692, 124.43341522100],
|
|
[0.712, 4.45550701473, 191.95845443560],
|
|
[0.690, 5.44243765037, 437.64389113990],
|
|
[0.810, 0.46198177342, 515.46387109300],
|
|
[0.694, 5.23748122403, 447.93883187840],
|
|
[0.604, 2.95749705544, 88.86568021700],
|
|
[0.669, 0.08457977809, 215.74677599280],
|
|
[0.579, 0.65329445948, 3.18139373770],
|
|
[0.712, 6.05964117622, 11.04570026390],
|
|
[0.698, 2.91371419321, 1073.60902419080],
|
|
[0.526, 2.24947851818, 1059.38193018920],
|
|
[0.511, 2.86838724347, 408.43894361130],
|
|
[0.589, 5.79268515755, 63.73589830340],
|
|
[0.519, 1.76641574095, 1279.79457262800],
|
|
[0.503, 5.73762297081, 728.76296653100],
|
|
[0.482, 4.68234512154, 838.96928775040],
|
|
[0.494, 4.04363805503, 490.33408917940],
|
|
[0.458, 1.17998315936, 210.85141488320],
|
|
[0.380, 5.28045750432, 1052.26838318840],
|
|
[0.404, 4.58953258519, 302.16477565500],
|
|
[0.377, 5.20131800999, 74.78159856730],
|
|
[0.328, 0.11893501088, 956.28915597060],
|
|
[0.290, 3.99300398632, 1162.47470440780],
|
|
[0.262, 2.04320741578, 1471.75302706360],
|
|
[0.259, 3.76206113036, 635.96513305090],
|
|
[0.254, 0.16694559092, 195.13984817330],
|
|
[0.309, 5.44921175960, 543.91805909620],
|
|
[0.237, 1.27761853769, 231.45834270270],
|
|
[0.288, 1.32449995239, 203.73786788240],
|
|
[0.229, 4.19748765966, 1265.56747862640],
|
|
[0.238, 4.02925601887, 643.07868005170],
|
|
[0.238, 0.49997895983, 10.29494073850],
|
|
[0.257, 3.69107889837, 867.42347575360],
|
|
[0.191, 0.17807919948, 628.85158605010],
|
|
[0.246, 5.62469599682, 351.81659230870],
|
|
[0.183, 3.38184740572, 636.71589257630],
|
|
[0.172, 3.83173494030, 1581.95934828300],
|
|
[0.220, 1.03443668151, 483.22054217860],
|
|
[0.217, 4.65210162713, 750.10360753340],
|
|
[0.143, 2.31969979791, 18.15924726470],
|
|
[0.137, 5.50046852846, 1169.58825140860],
|
|
[0.120, 3.70151294359, 416.30325013750],
|
|
[0.136, 3.38453909352, 1155.36115740700],
|
|
[0.149, 0.85459831932, 1375.77379984580],
|
|
[0.150, 5.71949902293, 618.55664531160],
|
|
[0.125, 4.82446274394, 436.89313161450],
|
|
[0.120, 3.26968058035, 1478.86657406440],
|
|
[0.131, 0.11496484259, 1898.35121793960],
|
|
[0.099, 4.57241894541, 643.82943957710],
|
|
[0.095, 4.92115458463, 650.94298657790],
|
|
[0.090, 2.09300085806, 621.73803904930],
|
|
[0.111, 0.11975665259, 831.85574074960],
|
|
[0.089, 2.54351587616, 85.82729883120],
|
|
[0.080, 5.09103451442, 340.77089204480],
|
|
[0.078, 3.17395501851, 497.44763618020],
|
|
[0.085, 0.18997660997, 1258.45393162560],
|
|
[0.081, 1.16732337173, 217.96496188400],
|
|
[0.072, 5.47328223678, 337.73251065900],
|
|
],
|
|
# B3
|
|
[
|
|
[666.252, 1.99006340181, 213.29909543800],
|
|
[632.350, 5.69778316807, 206.18554843720],
|
|
[398.051, 0.00000000000, 0.00000000000],
|
|
[187.838, 4.33779804809, 220.41264243880],
|
|
[91.884, 4.84104208217, 419.48464387520],
|
|
[42.369, 2.38073239056, 426.59819087600],
|
|
[51.548, 3.42149490328, 433.71173787680],
|
|
[25.661, 4.40167213109, 227.52618943960],
|
|
[20.551, 5.85313509872, 199.07200143640],
|
|
[18.081, 1.99321433229, 639.89728631400],
|
|
[10.874, 5.37344546547, 7.11354700080],
|
|
[9.590, 2.54901825866, 647.01083331480],
|
|
[7.085, 3.45518372721, 316.39186965660],
|
|
[6.002, 4.80055225135, 632.78373931320],
|
|
[5.778, 0.01680378777, 210.11770170030],
|
|
[4.881, 5.63719730884, 14.22709400160],
|
|
[4.501, 1.22424419010, 853.19638175200],
|
|
[5.542, 3.51756747774, 440.82528487760],
|
|
[3.548, 4.71299370890, 412.37109687440],
|
|
[2.851, 0.62679207578, 103.09277421860],
|
|
[2.173, 3.71982274459, 216.48048917570],
|
|
[1.991, 6.10867071657, 217.23124870110],
|
|
[1.435, 1.69177141453, 860.30992875280],
|
|
[1.217, 4.30778838827, 234.63973644040],
|
|
[1.157, 5.75027789902, 309.27832265580],
|
|
[0.795, 5.69026441157, 117.31986822020],
|
|
[0.733, 0.59842720676, 1066.49547719000],
|
|
[0.713, 0.21700311697, 625.67019231240],
|
|
[0.773, 5.48361981990, 202.25339517410],
|
|
[0.897, 2.65577866867, 654.12438031560],
|
|
[0.509, 2.86079833766, 429.77958461370],
|
|
[0.462, 4.17742567173, 529.69096509460],
|
|
[0.390, 6.11288036049, 191.95845443560],
|
|
[0.505, 4.51905764563, 323.50541665740],
|
|
[0.379, 3.74436004151, 223.59403617650],
|
|
[0.332, 5.49370890570, 21.34064100240],
|
|
[0.377, 5.25624813434, 95.97922721780],
|
|
[0.384, 4.48187414769, 330.61896365820],
|
|
[0.367, 5.03190929680, 846.08283475120],
|
|
[0.281, 1.14133888637, 735.87651353180],
|
|
[0.245, 5.81618253250, 423.41679713830],
|
|
[0.241, 1.70335120180, 522.57741809380],
|
|
[0.258, 3.69110118716, 447.93883187840],
|
|
[0.231, 4.15697626494, 110.20632121940],
|
|
[0.305, 5.97746884029, 302.16477565500],
|
|
[0.284, 0.66224572127, 203.00415469950],
|
|
[0.204, 1.54683820621, 209.36694217490],
|
|
[0.194, 4.21193801453, 124.43341522100],
|
|
[0.145, 4.79689259614, 88.86568021700],
|
|
[0.151, 3.82010884134, 536.80451209540],
|
|
[0.100, 0.03596545368, 949.17560896980],
|
|
[0.097, 0.91303450276, 1073.60902419080],
|
|
[0.110, 2.21197473966, 515.46387109300],
|
|
[0.084, 2.53842533109, 422.66603761290],
|
|
[0.085, 5.11102520704, 3.93215326310],
|
|
[0.077, 6.04074586787, 838.96928775040],
|
|
[0.085, 1.18898817378, 728.76296653100],
|
|
[0.084, 4.10158366806, 224.34479570190],
|
|
],
|
|
# B4
|
|
[
|
|
[80.384, 1.11918414679, 206.18554843720],
|
|
[31.660, 3.12218745098, 213.29909543800],
|
|
[17.143, 2.48073200414, 220.41264243880],
|
|
[11.844, 3.14159265359, 0.00000000000],
|
|
[9.005, 0.38441424927, 419.48464387520],
|
|
[6.164, 1.56186379537, 433.71173787680],
|
|
[4.660, 1.28235639570, 199.07200143640],
|
|
[4.775, 2.63498295487, 227.52618943960],
|
|
[1.487, 1.43096671616, 426.59819087600],
|
|
[1.424, 0.66988083613, 647.01083331480],
|
|
[1.075, 6.18092274059, 639.89728631400],
|
|
[1.145, 1.72041928134, 440.82528487760],
|
|
[0.682, 3.84841098180, 14.22709400160],
|
|
[0.655, 3.49486258327, 7.11354700080],
|
|
[0.456, 0.47338193402, 632.78373931320],
|
|
[0.509, 0.31432285584, 412.37109687440],
|
|
[0.343, 5.86413875355, 853.19638175200],
|
|
[0.270, 2.50125594913, 234.63973644040],
|
|
[0.197, 5.39156324804, 316.39186965660],
|
|
[0.236, 2.11084590211, 210.11770170030],
|
|
[0.172, 6.09682874401, 860.30992875280],
|
|
[0.159, 5.95049154821, 216.48048917570],
|
|
[0.100, 1.98534903594, 625.67019231240],
|
|
[0.112, 0.85526419268, 654.12438031560],
|
|
[0.115, 5.03884718594, 117.31986822020],
|
|
[0.115, 0.44589613974, 110.20632121940],
|
|
],
|
|
# B5
|
|
[
|
|
[7.895, 2.81927558645, 206.18554843720],
|
|
[1.014, 0.51187210270, 220.41264243880],
|
|
[0.772, 2.99484124049, 199.07200143640],
|
|
[0.967, 3.14159265359, 0.00000000000],
|
|
[0.583, 5.96456944075, 433.71173787680],
|
|
[0.588, 0.78008666397, 227.52618943960],
|
|
[0.445, 2.38630799074, 419.48464387520],
|
|
[0.098, 5.10622131539, 647.01083331480],
|
|
[0.091, 5.81659714144, 7.11354700080],
|
|
[0.088, 6.17828532308, 440.82528487760],
|
|
[0.089, 0.58396864530, 213.29909543800],
|
|
],
|
|
]
|
|
"""This table contains Saturn'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
|
|
440-442."""
|
|
|
|
|
|
VSOP87_R = [
|
|
# R0
|
|
[
|
|
[955758135.801, 0.00000000000, 0.00000000000],
|
|
[52921382.465, 2.39226219733, 213.29909543800],
|
|
[1873679.934, 5.23549605091, 206.18554843720],
|
|
[1464663.959, 1.64763045468, 426.59819087600],
|
|
[821891.059, 5.93520025371, 316.39186965660],
|
|
[547506.899, 5.01532628454, 103.09277421860],
|
|
[371684.449, 2.27114833428, 220.41264243880],
|
|
[361778.433, 3.13904303264, 7.11354700080],
|
|
[140617.548, 5.70406652991, 632.78373931320],
|
|
[108974.737, 3.29313595577, 110.20632121940],
|
|
[69007.015, 5.94099622447, 419.48464387520],
|
|
[61053.350, 0.94037761156, 639.89728631400],
|
|
[48913.044, 1.55733388472, 202.25339517410],
|
|
[34143.794, 0.19518550682, 277.03499374140],
|
|
[32401.718, 5.47084606947, 949.17560896980],
|
|
[20936.573, 0.46349163993, 735.87651353180],
|
|
[20839.118, 1.52102590640, 433.71173787680],
|
|
[20746.678, 5.33255667599, 199.07200143640],
|
|
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|
|
[0.862, 3.24167644516, 427.87021526320],
|
|
[0.793, 5.01131700831, 109.99387289830],
|
|
[0.791, 2.21809404489, 110.41876954050],
|
|
[0.842, 5.04957483651, 444.12429869430],
|
|
[0.887, 4.23752031714, 3553.91152213780],
|
|
[0.851, 4.64229745145, 4105.98075853500],
|
|
[1.067, 4.69271921916, 559.69906177530],
|
|
[0.966, 4.55013458162, 9360.08916445900],
|
|
[0.977, 1.50925667031, 186.47239249500],
|
|
[1.092, 0.58153747940, 203.26478713040],
|
|
[0.997, 0.24589891452, 439.93151300030],
|
|
[0.786, 3.84829878956, 194.38908864790],
|
|
[0.774, 3.76050639310, 219.14061805160],
|
|
[0.845, 4.21602090805, 2648.45482547300],
|
|
[0.962, 0.30590569897, 229.34073054800],
|
|
[0.763, 0.05577842075, 846.13101886100],
|
|
[0.839, 5.68124142701, 2620.00063746980],
|
|
[0.818, 2.52609626540, 26301.20223701220],
|
|
[0.929, 0.71906225883, 740.28174754690],
|
|
[0.895, 5.83218231202, 4539.69249641180],
|
|
[0.939, 3.68460642343, 817.77165909990],
|
|
[0.755, 4.90024080821, 532.87235883230],
|
|
[0.784, 1.14096100609, 551.03160609700],
|
|
[0.899, 1.85252071775, 835.78789401270],
|
|
[0.753, 0.04254534997, 1534.73816584160],
|
|
[1.033, 1.00137993270, 134.11226285560],
|
|
[0.851, 6.12272864540, 1475.68518032670],
|
|
[0.797, 5.14322789256, 473.65931462300],
|
|
[0.729, 4.94931618796, 476.10699517780],
|
|
[0.852, 3.11058720799, 232.42155054920],
|
|
[0.783, 4.50805467439, 1151.42900414390],
|
|
[0.751, 0.92289775523, 1884.12412393800],
|
|
[0.832, 4.19686348297, 29.20494752860],
|
|
[0.720, 0.40961041030, 522.62560220360],
|
|
[0.722, 3.96121088528, 1474.93442080130],
|
|
[0.788, 0.99170388242, 121.84272231430],
|
|
[0.722, 4.16734185316, 232.20910222810],
|
|
[0.970, 2.32204039048, 566.60016045500],
|
|
[0.814, 5.19337022083, 948.21240112330],
|
|
[0.724, 2.30837674225, 949.12742486000],
|
|
[0.770, 5.89605163084, 156.67674413540],
|
|
[0.705, 5.40102118863, 1193.96727379680],
|
|
[0.809, 3.56474059969, 845.33207522580],
|
|
[0.755, 3.94580797273, 451.72797278960],
|
|
[0.731, 6.11847213487, 1239.54392483550],
|
|
[0.747, 1.40599730465, 782.34693644780],
|
|
[0.861, 1.84312374221, 984.60033162190],
|
|
[0.695, 4.78088165969, 10419.47109464820],
|
|
[0.804, 1.07998437400, 89.00869256890],
|
|
[0.828, 5.86080569334, 845.11962690470],
|
|
[0.692, 3.38736418117, 6489.26139842860],
|
|
[0.694, 3.07863807714, 316.60431797770],
|
|
[0.690, 5.86681311380, 316.17942133550],
|
|
[0.714, 5.38707933404, 567.82400073240],
|
|
[0.767, 0.12081849650, 485.88067105450],
|
|
[0.820, 1.87877245664, 499.89531673500],
|
|
[0.705, 0.57839934869, 1053.75285589670],
|
|
[0.684, 4.88442270630, 2545.36205125440],
|
|
[0.689, 6.14296395253, 622.48879857470],
|
|
[0.823, 3.50224755884, 877.57540414020],
|
|
[0.827, 2.59300433753, 232.94281541100],
|
|
[0.735, 3.05650026582, 66.91729204110],
|
|
],
|
|
# R1
|
|
[
|
|
[6182981.282, 0.25843515034, 213.29909543800],
|
|
[506577.574, 0.71114650941, 206.18554843720],
|
|
[341394.136, 5.79635773960, 426.59819087600],
|
|
[188491.375, 0.47215719444, 220.41264243880],
|
|
[186261.540, 3.14159265359, 0.00000000000],
|
|
[143891.176, 1.40744864239, 7.11354700080],
|
|
[49621.111, 6.01744469580, 103.09277421860],
|
|
[20928.189, 5.09245654470, 639.89728631400],
|
|
[19952.612, 1.17560125007, 419.48464387520],
|
|
[18839.639, 1.60819563173, 110.20632121940],
|
|
[12892.827, 5.94330258435, 433.71173787680],
|
|
[13876.565, 0.75886204364, 199.07200143640],
|
|
[5396.699, 1.28852405908, 14.22709400160],
|
|
[4869.308, 0.86793894213, 323.50541665740],
|
|
[4247.455, 0.39299384543, 227.52618943960],
|
|
[3252.084, 1.25853470491, 95.97922721780],
|
|
[2856.006, 2.16731405366, 735.87651353180],
|
|
[2909.411, 4.60679154788, 202.25339517410],
|
|
[3081.408, 3.43662557418, 522.57741809380],
|
|
[1987.689, 2.45054204795, 412.37109687440],
|
|
[1941.309, 6.02393385142, 209.36694217490],
|
|
[1581.446, 1.29191789712, 210.11770170030],
|
|
[1339.511, 4.30801821806, 853.19638175200],
|
|
[1315.590, 1.25296446023, 117.31986822020],
|
|
[1203.085, 1.86654673794, 316.39186965660],
|
|
[1091.088, 0.07527246854, 216.48048917570],
|
|
[954.403, 5.15173410519, 647.01083331480],
|
|
[966.012, 0.47991379141, 632.78373931320],
|
|
[881.827, 1.88471724478, 1052.26838318840],
|
|
[874.215, 1.40224683864, 224.34479570190],
|
|
[897.512, 0.98343776092, 529.69096509460],
|
|
[784.866, 3.06377517461, 838.96928775040],
|
|
[739.892, 1.38225356694, 625.67019231240],
|
|
[612.961, 3.03307306767, 63.73589830340],
|
|
[658.210, 4.14362930980, 309.27832265580],
|
|
[649.600, 1.72489486160, 742.99006053260],
|
|
[599.236, 2.54924174765, 217.23124870110],
|
|
[502.886, 2.12958819475, 3.93215326310],
|
|
[413.017, 4.59334402271, 415.55249061210],
|
|
[356.117, 2.30312127651, 728.76296653100],
|
|
[344.777, 5.88787577835, 440.82528487760],
|
|
[395.004, 0.53349091102, 956.28915597060],
|
|
[335.526, 1.61614647174, 1368.66025284500],
|
|
[362.772, 4.70691652867, 302.16477565500],
|
|
[321.611, 0.97931764923, 3.18139373770],
|
|
[277.783, 0.26007031431, 195.13984817330],
|
|
[291.173, 2.83129427918, 1155.36115740700],
|
|
[264.971, 2.42670902733, 88.86568021700],
|
|
[264.864, 5.82860588985, 149.56319713460],
|
|
[316.777, 3.58395655749, 515.46387109300],
|
|
[294.324, 2.81632778983, 11.04570026390],
|
|
[244.864, 1.04493438899, 942.06206196900],
|
|
[215.368, 3.56535574833, 490.33408917940],
|
|
[264.047, 1.28547685567, 1059.38193018920],
|
|
[246.245, 0.90730313861, 191.95845443560],
|
|
[222.077, 5.13193212050, 269.92144674060],
|
|
[194.973, 4.56665009915, 846.08283475120],
|
|
[182.802, 2.67913220473, 127.47179660680],
|
|
[181.645, 4.93431600689, 74.78159856730],
|
|
[174.651, 3.44560172182, 137.03302416240],
|
|
[165.515, 5.99775895715, 536.80451209540],
|
|
[154.809, 1.19720845085, 265.98929347750],
|
|
[169.743, 4.63464467495, 284.14854074220],
|
|
[151.526, 0.52928231044, 330.61896365820],
|
|
[152.461, 5.43886711695, 422.66603761290],
|
|
[157.687, 2.99559914619, 340.77089204480],
|
|
[140.630, 2.02069760726, 1045.15483618760],
|
|
[139.834, 1.35282959390, 1685.05212250160],
|
|
[140.977, 1.27099900689, 203.00415469950],
|
|
[136.013, 5.01678984678, 351.81659230870],
|
|
[153.391, 0.26968607873, 1272.68102562720],
|
|
[129.476, 1.14344730612, 21.34064100240],
|
|
[127.831, 2.53876158952, 1471.75302706360],
|
|
[126.538, 3.00310970076, 277.03499374140],
|
|
[100.277, 3.61360169153, 1066.49547719000],
|
|
[103.169, 0.38175114761, 203.73786788240],
|
|
[107.527, 4.31870663477, 210.85141488320],
|
|
[95.934, 0.79463744168, 1258.45393162560],
|
|
[82.663, 0.28181414606, 234.63973644040],
|
|
[97.986, 2.56085956186, 191.20769491020],
|
|
[97.389, 3.26245865063, 831.85574074960],
|
|
[72.227, 4.37984630380, 860.30992875280],
|
|
[70.639, 0.73191513920, 437.64389113990],
|
|
[70.447, 0.87698401733, 423.41679713830],
|
|
[72.057, 5.58013290518, 429.77958461370],
|
|
[73.332, 0.62505906432, 1375.77379984580],
|
|
[66.433, 2.68414462465, 405.25754987360],
|
|
[63.812, 1.75051498180, 1361.54670584420],
|
|
[61.601, 1.09332288242, 2001.44399215820],
|
|
[67.006, 0.06872766216, 408.43894361130],
|
|
[68.945, 2.47127505057, 949.17560896980],
|
|
[60.456, 2.25094790113, 1788.14489672020],
|
|
[67.074, 5.45365870159, 200.76892246580],
|
|
[65.579, 0.05539079332, 1589.07289528380],
|
|
[49.320, 4.17243429807, 138.51749687070],
|
|
[50.648, 6.26867505289, 223.59403617650],
|
|
[55.166, 4.59491533823, 628.85158605010],
|
|
[47.916, 0.83929741626, 10.29494073850],
|
|
[46.691, 2.17322569098, 312.19908396260],
|
|
[54.179, 0.28360076018, 124.43341522100],
|
|
[49.511, 3.79960349195, 215.74677599280],
|
|
[40.136, 5.18161452756, 1478.86657406440],
|
|
[39.302, 0.56257369109, 1574.84580128220],
|
|
[34.962, 4.68487505703, 38.13303563780],
|
|
[42.770, 2.98582069454, 1148.24761040620],
|
|
[36.521, 0.63453270366, 52.69019803950],
|
|
[39.752, 0.28412706854, 131.40394986990],
|
|
[31.777, 5.19036499973, 76.26607127560],
|
|
[33.041, 1.97964846430, 142.44965013380],
|
|
[42.053, 4.83017951800, 288.08069400530],
|
|
[30.757, 1.47903923433, 1677.93857550080],
|
|
[42.829, 3.38225543528, 208.63322899200],
|
|
[29.245, 5.09869866956, 654.12438031560],
|
|
[29.165, 4.95664881649, 1795.25844372100],
|
|
[29.136, 2.74747553685, 404.50679034820],
|
|
[32.689, 6.12099521344, 145.63104387150],
|
|
[28.008, 0.83185907283, 2317.83586181480],
|
|
[27.725, 2.24364073545, 430.53034413910],
|
|
[29.939, 1.96415498448, 2104.53676637680],
|
|
[32.982, 3.28236160491, 222.86032299360],
|
|
[31.772, 6.02453027348, 1905.46476494040],
|
|
[26.959, 5.24308283338, 388.46515523820],
|
|
[26.514, 0.99638302878, 107.02492748170],
|
|
[25.421, 2.87336642463, 703.63318461740],
|
|
[24.908, 1.07713811775, 99.91138048090],
|
|
[24.955, 6.23974037842, 106.27416795630],
|
|
[24.894, 0.81040976807, 312.45971639350],
|
|
[24.340, 0.54867402916, 214.26230328450],
|
|
[28.441, 0.82630052794, 1692.16566950240],
|
|
[23.219, 5.07995629354, 479.28838891550],
|
|
[24.362, 3.10643455533, 212.33588759150],
|
|
[21.951, 6.06688237952, 85.82729883120],
|
|
[22.046, 3.89863665506, 563.63121503840],
|
|
[22.596, 4.86725457223, 295.05122865420],
|
|
[21.256, 5.10797617452, 333.65734504400],
|
|
[25.985, 2.20813879137, 1265.56747862640],
|
|
[20.904, 3.28855303434, 70.84944530420],
|
|
[21.505, 3.79541155976, 347.88443904560],
|
|
[22.067, 4.22716352578, 217.96496188400],
|
|
[20.629, 1.68732248608, 231.45834270270],
|
|
[21.429, 3.08914428467, 554.06998748280],
|
|
[21.310, 0.38868340861, 319.57326339430],
|
|
[20.521, 2.45651851283, 18.15924726470],
|
|
[26.055, 4.27554951169, 483.22054217860],
|
|
[20.703, 5.12057936320, 362.86229257260],
|
|
[22.047, 5.51249354809, 343.21857259960],
|
|
[19.443, 2.02441679295, 313.21047591890],
|
|
[20.163, 5.08481373110, 750.10360753340],
|
|
[20.125, 3.42997916125, 213.34727954780],
|
|
[24.196, 0.64787472796, 207.88246946660],
|
|
[21.977, 0.72894956852, 99.16062095550],
|
|
[21.120, 2.69286728009, 1464.63948006280],
|
|
[17.192, 4.71525117969, 2111.65031337760],
|
|
[18.540, 0.04817255506, 245.54242435240],
|
|
[17.521, 3.83662880684, 497.44763618020],
|
|
[16.107, 4.22374822303, 565.11568774670],
|
|
[21.607, 4.16647257628, 2.44768055480],
|
|
[15.979, 0.27376396113, 225.82926841020],
|
|
[16.831, 1.41134653939, 114.13847448250],
|
|
[15.626, 2.82768623405, 81.75213321620],
|
|
[15.499, 1.20606390539, 1994.33044515740],
|
|
[15.168, 3.84591816174, 1162.47470440780],
|
|
[16.436, 3.04752365976, 134.58534360760],
|
|
[15.870, 0.33026420429, 1891.23767093880],
|
|
[20.370, 0.23170286692, 213.25091132820],
|
|
[16.291, 1.70643197929, 2420.92863603340],
|
|
[16.280, 4.94159427320, 357.44566660120],
|
|
[18.076, 5.69515344123, 56.62235130260],
|
|
[13.724, 0.57240190030, 2634.22773147140],
|
|
[17.355, 3.55311137444, 218.92816973050],
|
|
[13.740, 5.70545527289, 92.04707395470],
|
|
[15.328, 1.31338692850, 216.21985674480],
|
|
[12.538, 5.19222019427, 635.96513305090],
|
|
[12.815, 1.60151130870, 320.32402291970],
|
|
[13.043, 0.45068441373, 1169.58825140860],
|
|
[11.984, 5.94916123570, 543.91805909620],
|
|
[11.753, 2.80279347133, 217.49188113200],
|
|
[14.746, 5.56520105813, 344.70304530790],
|
|
[12.762, 1.63557330778, 273.10284047830],
|
|
[11.855, 2.46234840263, 721.64941953020],
|
|
[13.309, 5.75641013916, 2221.85663459700],
|
|
[14.471, 0.45316163629, 2008.55753915900],
|
|
[11.840, 1.75720772380, 160.60889739850],
|
|
[12.374, 1.01456317602, 329.72519178090],
|
|
[10.747, 1.58065203003, 212.77783057620],
|
|
[12.758, 1.91952373240, 1581.95934828300],
|
|
[11.944, 4.44720922423, 32.24332891440],
|
|
[11.865, 5.10696147162, 4.66586644600],
|
|
[11.861, 4.30847607078, 618.55664531160],
|
|
[10.036, 0.48709852137, 305.34616939270],
|
|
[12.777, 3.74412991331, 508.35032409220],
|
|
[10.677, 0.76645916273, 218.71572140940],
|
|
[11.351, 3.00009819697, 198.32124191100],
|
|
[10.249, 2.40923650192, 546.95644048200],
|
|
[9.984, 2.63882014753, 416.30325013750],
|
|
[9.345, 5.45917317860, 414.06801790380],
|
|
[9.317, 4.46380159546, 2428.04218303420],
|
|
[9.928, 4.04821559448, 62.25142559510],
|
|
[12.767, 3.43273835457, 258.87574647670],
|
|
[9.733, 1.61066324680, 327.43756992050],
|
|
[11.163, 2.40665325234, 1781.03134971940],
|
|
[10.608, 2.07480020830, 213.82036029980],
|
|
[9.125, 2.92369523159, 1279.79457262800],
|
|
[9.525, 1.10338403136, 113.38771495710],
|
|
[9.805, 3.28427768485, 275.55052103310],
|
|
[11.263, 1.89402915826, 561.18353448360],
|
|
[8.572, 2.17858055966, 425.11371816770],
|
|
[8.577, 1.95484887975, 35.42472265210],
|
|
[10.157, 0.09037368733, 182.27960680100],
|
|
[11.807, 3.71278037583, 350.33211960040],
|
|
[8.595, 1.83382454431, 629.60234557550],
|
|
[8.396, 3.76782674303, 251.43213107580],
|
|
[8.460, 0.35676476459, 617.80588578620],
|
|
[8.250, 5.31140994372, 65.22037101170],
|
|
[8.342, 1.38307663880, 1.48447270830],
|
|
[7.987, 5.13622898170, 22.09140052780],
|
|
[8.377, 0.91817077859, 1485.98012106520],
|
|
[7.980, 0.94199750915, 2310.72231481400],
|
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|
|
[1.716, 3.96056093028, 1699.27921650320],
|
|
[1.682, 0.39747670320, 17.40848773930],
|
|
[1.368, 5.83289186692, 569.04784100980],
|
|
[1.416, 3.65464640816, 6.85291456990],
|
|
[1.469, 3.49069193830, 934.94851496820],
|
|
[1.330, 4.41794310534, 3914.02230409940],
|
|
[1.309, 1.29979865382, 428.08266358430],
|
|
[1.300, 1.57748627871, 238.57188970350],
|
|
[1.389, 1.31202796503, 6275.96230299060],
|
|
[1.384, 0.67585082323, 2751.54759969160],
|
|
[1.471, 1.21149871903, 2531.13495725280],
|
|
[1.334, 4.11154515525, 206.93630796260],
|
|
[1.601, 0.93356520728, 355.74874557180],
|
|
[1.259, 2.56678207309, 850.01498801430],
|
|
[1.277, 0.41764451386, 100.64509366380],
|
|
[1.436, 4.06045514506, 177.87437278590],
|
|
[1.308, 1.01324076289, 423.67742956920],
|
|
[1.541, 6.03020449918, 292.01284726840],
|
|
[1.307, 5.83815678434, 5863.59120611620],
|
|
[1.613, 2.45074803642, 1049.08698945070],
|
|
[1.249, 3.01518429832, 464.73122651380],
|
|
[1.250, 6.23516728885, 823.99143422340],
|
|
[1.275, 2.68217384213, 637.44960575920],
|
|
[1.249, 2.97028182853, 51749.20809227239],
|
|
[1.240, 2.66940683813, 2700.71514038580],
|
|
[1.456, 1.85558224828, 96.87299909510],
|
|
[1.491, 4.98649587341, 295.19424100610],
|
|
[1.230, 4.27283851216, 12139.55350910680],
|
|
[1.292, 2.73196017809, 10206.17199921020],
|
|
[1.247, 3.77399749791, 504.56118318100],
|
|
[1.408, 1.02955773079, 518.38463239980],
|
|
[1.223, 1.12202093840, 221.16340196420],
|
|
[1.420, 4.39795293289, 606.76018552230],
|
|
[1.190, 1.57292553631, 820.05928096030],
|
|
[1.247, 0.99102599652, 9793.80090233580],
|
|
[1.234, 1.10826361423, 2303.60876781320],
|
|
[1.186, 4.55984967028, 9808.53818466140],
|
|
[1.346, 4.94456950019, 384.05992122310],
|
|
[1.514, 3.60392291730, 2015.67108615980],
|
|
[1.432, 2.28704432909, 525.49817940060],
|
|
[1.129, 0.87100340620, 162.09337010680],
|
|
[1.196, 5.13485214850, 227.31374111850],
|
|
[1.339, 2.48923887712, 206.70681329900],
|
|
[1.421, 1.65379789078, 857.12853501510],
|
|
[1.162, 1.92099315083, 220.93390730060],
|
|
[1.277, 4.85435999187, 54.17467074780],
|
|
[1.153, 5.33028034679, 233.90602325750],
|
|
[1.214, 4.11324721963, 3377.21779200400],
|
|
[1.109, 5.68915582674, 162.89651925890],
|
|
[1.068, 4.85383480876, 611.44309831080],
|
|
[1.119, 1.40805686363, 1987.21689815660],
|
|
[1.085, 0.64208148190, 731.68372783780],
|
|
[1.435, 3.20880139888, 835.78789401270],
|
|
[1.184, 2.99776919968, 199.28444975750],
|
|
[1.281, 3.12245339510, 427.34895040140],
|
|
[1.058, 5.17851282929, 306.09692891810],
|
|
[1.152, 4.39244449554, 199.96577331370],
|
|
[1.036, 3.68027119804, 597.35901666110],
|
|
[1.055, 3.25561743426, 394.35486196160],
|
|
[1.127, 4.33255371960, 552.58551477450],
|
|
[1.213, 6.21447612110, 42.53826965290],
|
|
[1.117, 3.74367882111, 214.19286731530],
|
|
[1.023, 3.84199833949, 894.84087952760],
|
|
[1.042, 5.30120078590, 450.97721326420],
|
|
[1.290, 3.96221234564, 318.83955021140],
|
|
[1.073, 4.10012122884, 188.16931352440],
|
|
[1.204, 0.37702365750, 393.46109008430],
|
|
[1.214, 2.01826978554, 401.32539661050],
|
|
[1.018, 0.02946649279, 2840.41327990860],
|
|
[1.237, 5.41088851225, 425.84743135060],
|
|
[1.187, 5.16511890602, 838.21852822500],
|
|
[1.276, 2.93572146232, 1457.52593306200],
|
|
[0.994, 3.40079885702, 211.60217440860],
|
|
[1.042, 2.42209320898, 361.37781986430],
|
|
[1.093, 3.66289018246, 226.63241756230],
|
|
[0.978, 3.76334208607, 5856.47765911540],
|
|
[1.263, 2.09195268609, 78.71375183040],
|
|
[1.009, 5.85963705048, 1268.74887236410],
|
|
[1.148, 4.39543895068, 570.74476203920],
|
|
[1.051, 3.27272240682, 153.49535039770],
|
|
[0.975, 3.42924642244, 105.54045477340],
|
|
[0.997, 4.30943991893, 212.40532356070],
|
|
[0.954, 3.88548755058, 171.65459766240],
|
|
[0.960, 1.90180005280, 1159.29331067010],
|
|
[0.953, 3.40787141587, 244.79166482700],
|
|
[0.969, 1.93369993197, 525.75881183150],
|
|
[0.918, 1.73738789723, 223.33340374560],
|
|
[1.164, 5.05392864346, 263.70167161710],
|
|
[0.951, 4.23581224839, 92.94084583200],
|
|
[1.160, 5.80630916592, 460.53844081980],
|
|
[1.186, 4.46262000755, 465.95506679120],
|
|
[0.931, 2.09868057209, 205.66428357540],
|
|
[0.942, 3.86810837922, 238.42887735160],
|
|
[1.020, 5.53181822898, 0.04818410980],
|
|
[0.995, 2.03457885490, 6290.18939699220],
|
|
[0.888, 2.60957592990, 1912.57831194120],
|
|
[0.873, 5.78433393020, 480.77286162380],
|
|
[0.854, 1.63255087291, 328.24071907260],
|
|
[1.123, 4.07401922216, 3693.60966166060],
|
|
[0.934, 3.52355235083, 10220.39909321180],
|
|
[0.833, 3.03302227840, 532.87235883230],
|
|
[1.007, 2.73615455688, 4841.85727206680],
|
|
[0.870, 1.06968760644, 51.20572533120],
|
|
[0.891, 1.36817544763, 700.45179087970],
|
|
[0.833, 5.39754715806, 159.71512552120],
|
|
[0.854, 1.91765015557, 622.48879857470],
|
|
[0.976, 3.09106001923, 2332.06295581640],
|
|
[0.819, 5.55683690482, 462.02291352810],
|
|
[0.800, 1.47042677460, 969.62247809490],
|
|
[0.933, 1.40166917666, 287.93768165340],
|
|
[0.784, 1.69235162770, 477.80391620720],
|
|
[0.782, 3.98153416585, 702.14871190910],
|
|
[0.810, 5.87689161549, 561.93429400900],
|
|
[0.858, 4.02964773169, 41.64449777560],
|
|
[0.819, 0.98885784755, 960.22130923370],
|
|
[0.882, 1.49559638306, 760.25553592000],
|
|
[0.767, 2.46787654531, 402.21916848780],
|
|
[0.851, 3.64678001195, 348.63519857100],
|
|
[0.852, 1.03470840672, 2620.00063746980],
|
|
[0.770, 4.67090683753, 16.67477455640],
|
|
[0.849, 5.27994730935, 74.63858621540],
|
|
[0.854, 2.56811257488, 432.74853003030],
|
|
[0.767, 1.11806243753, 2847.52682690940],
|
|
[0.729, 0.44171990710, 898.77303279070],
|
|
[0.776, 5.54603607568, 3171.03224356680],
|
|
[0.721, 6.05392551158, 91.78644152380],
|
|
[0.739, 3.57172839746, 775.23338944700],
|
|
[0.730, 4.98865345688, 705.11765732570],
|
|
[0.705, 0.44942445750, 219.66188291340],
|
|
[0.708, 0.69014726046, 1048.33622992530],
|
|
[0.706, 2.22974712805, 29.20494752860],
|
|
[0.711, 0.00981284716, 2115.58246664070],
|
|
[0.722, 4.14075205197, 225.07850888480],
|
|
[0.735, 1.54083195463, 201.99276274320],
|
|
[0.746, 4.08997409526, 849.26422848890],
|
|
[0.729, 2.81779134868, 419.53282798500],
|
|
[0.837, 1.00844734156, 4127.32139953740],
|
|
[0.939, 0.46037763932, 5488.86810538160],
|
|
[0.939, 1.85473712038, 5062.26991450560],
|
|
[0.721, 1.62872794201, 2200.51599359460],
|
|
],
|
|
# R2
|
|
[
|
|
[436902.464, 4.78671673044, 213.29909543800],
|
|
[71922.760, 2.50069994874, 206.18554843720],
|
|
[49766.792, 4.97168150870, 220.41264243880],
|
|
[43220.894, 3.86940443794, 426.59819087600],
|
|
[29645.554, 5.96310264282, 7.11354700080],
|
|
[4141.650, 4.10670940823, 433.71173787680],
|
|
[4720.909, 2.47527992423, 199.07200143640],
|
|
[3789.370, 3.09771025067, 639.89728631400],
|
|
[2963.990, 1.37206248846, 103.09277421860],
|
|
[2556.363, 2.85065721526, 419.48464387520],
|
|
[2208.457, 6.27588858707, 110.20632121940],
|
|
[2187.621, 5.85545832218, 14.22709400160],
|
|
[1956.896, 4.92448618045, 227.52618943960],
|
|
[2326.801, 0.00000000000, 0.00000000000],
|
|
[923.840, 5.46392422737, 323.50541665740],
|
|
[705.936, 2.97081280098, 95.97922721780],
|
|
[546.115, 4.12854181522, 412.37109687440],
|
|
[373.838, 5.83435991809, 117.31986822020],
|
|
[360.882, 3.27703082368, 647.01083331480],
|
|
[356.350, 3.19152043942, 210.11770170030],
|
|
[390.627, 4.48106176893, 216.48048917570],
|
|
[431.485, 5.17825414612, 522.57741809380],
|
|
[325.598, 2.26867601656, 853.19638175200],
|
|
[405.018, 4.17294157872, 209.36694217490],
|
|
[204.494, 0.08774848590, 202.25339517410],
|
|
[206.854, 4.02188336738, 735.87651353180],
|
|
[178.474, 4.09716541453, 440.82528487760],
|
|
[180.143, 3.59704903955, 632.78373931320],
|
|
[153.656, 3.13470530382, 625.67019231240],
|
|
[147.779, 0.13614300541, 302.16477565500],
|
|
[123.189, 4.18895309647, 88.86568021700],
|
|
[133.076, 2.59350469420, 191.95845443560],
|
|
[100.367, 5.46056190585, 3.18139373770],
|
|
[131.975, 5.93293968941, 309.27832265580],
|
|
[97.235, 4.01832604356, 728.76296653100],
|
|
[110.709, 4.77853798276, 838.96928775040],
|
|
[119.053, 5.55385105975, 224.34479570190],
|
|
[93.852, 4.38395529912, 217.23124870110],
|
|
[108.701, 5.29310899841, 515.46387109300],
|
|
[78.609, 5.72525447528, 21.34064100240],
|
|
[81.468, 5.10897365253, 956.28915597060],
|
|
[96.412, 6.25859229567, 742.99006053260],
|
|
[69.228, 4.04901237761, 3.93215326310],
|
|
[65.168, 3.77713343518, 1052.26838318840],
|
|
[64.088, 5.81235002453, 529.69096509460],
|
|
[62.541, 2.18445116349, 195.13984817330],
|
|
[56.987, 3.14666549033, 203.00415469950],
|
|
[55.979, 4.84108422860, 234.63973644040],
|
|
[52.940, 5.07780548444, 330.61896365820],
|
|
[50.635, 2.77318570728, 942.06206196900],
|
|
[41.649, 4.79014211005, 63.73589830340],
|
|
[44.858, 0.56460613593, 269.92144674060],
|
|
[41.357, 3.73496404402, 316.39186965660],
|
|
[52.847, 3.92623831484, 949.17560896980],
|
|
[38.398, 3.73966157784, 1045.15483618760],
|
|
[37.583, 4.18924633757, 536.80451209540],
|
|
[35.285, 2.90795856092, 284.14854074220],
|
|
[33.576, 3.80465978802, 149.56319713460],
|
|
[41.073, 4.57870454147, 1155.36115740700],
|
|
[30.412, 2.48140171991, 860.30992875280],
|
|
[31.373, 4.84075951849, 1272.68102562720],
|
|
[30.218, 4.35186294470, 405.25754987360],
|
|
[39.430, 3.50858482049, 422.66603761290],
|
|
[29.658, 1.58886982096, 1066.49547719000],
|
|
[35.202, 5.94478241578, 1059.38193018920],
|
|
[25.829, 3.54946335477, 1368.66025284500],
|
|
[26.283, 4.81567477177, 124.43341522100],
|
|
[29.963, 3.66312205813, 429.77958461370],
|
|
[33.011, 4.96879544579, 831.85574074960],
|
|
[24.305, 5.31133255082, 10.29494073850],
|
|
[26.332, 4.45253273390, 223.59403617650],
|
|
[22.108, 2.76092021113, 415.55249061210],
|
|
[27.187, 1.66347897738, 277.03499374140],
|
|
[21.639, 1.03836302307, 11.04570026390],
|
|
[19.713, 2.52194629263, 1258.45393162560],
|
|
[17.062, 3.27669927228, 654.12438031560],
|
|
[17.261, 3.49414816663, 1361.54670584420],
|
|
[16.097, 1.73396878598, 490.33408917940],
|
|
[21.099, 3.62102032955, 1265.56747862640],
|
|
[17.692, 4.31141612385, 1471.75302706360],
|
|
[13.458, 0.32327889681, 295.05122865420],
|
|
[12.586, 3.13794576887, 74.78159856730],
|
|
[12.023, 2.32917797741, 210.85141488320],
|
|
[15.120, 3.59558424278, 265.98929347750],
|
|
[12.959, 4.62359706368, 1589.07289528380],
|
|
[15.424, 5.01335704925, 127.47179660680],
|
|
[11.193, 4.54981248285, 81.75213321620],
|
|
[13.449, 4.88710089777, 437.64389113990],
|
|
[10.673, 5.05234757424, 191.20769491020],
|
|
[13.963, 3.04990968366, 423.41679713830],
|
|
[10.614, 5.02845923229, 137.03302416240],
|
|
[14.382, 4.68720080027, 1148.24761040620],
|
|
[13.470, 1.90280407135, 408.43894361130],
|
|
[10.077, 5.20426583827, 340.77089204480],
|
|
[10.323, 3.34460279759, 1685.05212250160],
|
|
[9.563, 3.17317920222, 351.81659230870],
|
|
[11.295, 5.47808960704, 1375.77379984580],
|
|
[8.617, 2.81294528041, 99.91138048090],
|
|
[8.460, 3.22691940753, 1677.93857550080],
|
|
[7.914, 2.35624291874, 1574.84580128220],
|
|
[7.587, 6.08171425316, 231.45834270270],
|
|
[9.175, 3.40072244924, 1581.95934828300],
|
|
[7.337, 2.00393601815, 131.40394986990],
|
|
[8.240, 4.04095881407, 1788.14489672020],
|
|
[7.579, 3.68311134272, 846.08283475120],
|
|
[6.691, 4.37253800717, 145.63104387150],
|
|
[7.539, 3.29482043104, 750.10360753340],
|
|
[6.367, 4.00239137708, 447.93883187840],
|
|
[6.249, 4.55603671940, 106.27416795630],
|
|
[6.489, 1.33782087599, 215.74677599280],
|
|
[6.501, 3.78204726337, 313.21047591890],
|
|
[5.978, 0.55276980086, 18.15924726470],
|
|
[6.171, 2.84712795642, 138.51749687070],
|
|
[6.837, 4.83481646949, 319.57326339430],
|
|
[6.678, 5.43046031699, 508.35032409220],
|
|
[7.175, 4.37855723752, 1464.63948006280],
|
|
[5.753, 4.14268749228, 543.91805909620],
|
|
[5.727, 4.35383078313, 1905.46476494040],
|
|
[5.101, 2.63866058897, 288.08069400530],
|
|
[5.311, 3.62520849510, 6076.89030155420],
|
|
[5.498, 4.19972735173, 721.64941953020],
|
|
[5.089, 5.04845206653, 10007.09999777380],
|
|
[5.505, 1.13479635941, 56.62235130260],
|
|
[4.820, 3.30043078578, 76.26607127560],
|
|
[4.915, 6.17790518458, 483.22054217860],
|
|
[5.048, 2.44627820757, 628.85158605010],
|
|
[4.534, 1.19648682598, 200.76892246580],
|
|
[4.817, 3.11549733365, 2001.44399215820],
|
|
[4.712, 1.26507812515, 6062.66320755260],
|
|
[4.811, 5.78388270496, 184.84490743480],
|
|
[4.775, 0.76197795755, 333.65734504400],
|
|
[4.514, 0.95293919611, 343.21857259960],
|
|
[4.525, 2.68827745072, 9992.87290377220],
|
|
[4.378, 0.80241129896, 222.86032299360],
|
|
[4.873, 5.92092913946, 618.55664531160],
|
|
[4.142, 1.91878383159, 497.44763618020],
|
|
[5.112, 4.50449287745, 416.30325013750],
|
|
[4.125, 1.98204847532, 347.88443904560],
|
|
[4.045, 2.87666810085, 38.13303563780],
|
|
[4.133, 2.90478811425, 107.02492748170],
|
|
[4.035, 2.92972681787, 1994.33044515740],
|
|
[4.916, 3.12316267561, 1898.35121793960],
|
|
[3.657, 3.24680246734, 362.86229257260],
|
|
[3.753, 0.87719890943, 703.63318461740],
|
|
[3.576, 3.48080143501, 388.46515523820],
|
|
[3.555, 4.08436297683, 430.53034413910],
|
|
[3.598, 0.05255328597, 32.24332891440],
|
|
[3.561, 5.46414552453, 6283.07584999140],
|
|
[3.480, 1.81622589595, 70.84944530420],
|
|
[3.827, 3.12041228490, 635.96513305090],
|
|
[3.399, 0.54882815021, 10213.28554621100],
|
|
[3.399, 3.51833356080, 629.60234557550],
|
|
[3.364, 3.27821747958, 357.44566660120],
|
|
[3.260, 1.97623748027, 203.73786788240],
|
|
[3.118, 2.18465627368, 1891.23767093880],
|
|
[3.163, 1.26040995242, 134.58534360760],
|
|
[4.004, 5.45434102599, 1692.16566950240],
|
|
[3.180, 2.46319174788, 867.42347575360],
|
|
[3.389, 4.20503159673, 337.73251065900],
|
|
[3.026, 2.19331614526, 217.96496188400],
|
|
[3.573, 5.55097240810, 113.38771495710],
|
|
[3.682, 3.78966280284, 2104.53676637680],
|
|
[3.125, 4.09203641264, 1478.86657406440],
|
|
[2.881, 3.90810650240, 312.19908396260],
|
|
[3.199, 3.92123638342, 1038.04128918680],
|
|
[4.014, 5.17826893553, 404.50679034820],
|
|
[3.907, 4.11767191780, 1781.03134971940],
|
|
[3.144, 1.61185684069, 1073.60902419080],
|
|
[3.072, 5.00675625396, 312.45971639350],
|
|
[3.034, 5.46288652854, 258.87574647670],
|
|
[2.884, 2.38477237305, 181.05576652360],
|
|
[2.986, 0.88783591586, 1279.79457262800],
|
|
[2.683, 0.00956197492, 195.89060769870],
|
|
[3.081, 5.60034737330, 216.21985674480],
|
|
[2.626, 6.12701960244, 273.10284047830],
|
|
[2.665, 2.31576422128, 565.11568774670],
|
|
[3.245, 3.87540558646, 85.82729883120],
|
|
[2.740, 5.73784096806, 160.60889739850],
|
|
[2.876, 4.74720607366, 213.25091132820],
|
|
[2.523, 5.30458920892, 444.75743814070],
|
|
[2.752, 5.08984539930, 1169.58825140860],
|
|
[2.889, 1.66674437398, 213.34727954780],
|
|
[2.923, 4.21481009033, 650.94298657790],
|
|
[3.036, 2.55426675350, 6069.77675455340],
|
|
[3.116, 2.67220972004, 52.69019803950],
|
|
[2.371, 0.89591351822, 121.25202148330],
|
|
[2.993, 3.96957827454, 9999.98645077300],
|
|
[3.088, 0.40656113014, 561.18353448360],
|
|
[2.385, 4.74063881551, 218.71572140940],
|
|
[2.632, 1.12706218927, 344.70304530790],
|
|
[2.316, 4.08445262041, 131.54696222180],
|
|
[2.214, 3.37726228553, 22.09140052780],
|
|
[2.129, 3.32497715011, 358.93013930950],
|
|
[2.679, 1.68971401870, 208.63322899200],
|
|
[2.607, 5.10250482155, 824.74219374880],
|
|
[2.250, 2.60474848767, 305.34616939270],
|
|
[2.087, 3.37293958793, 320.32402291970],
|
|
[2.693, 3.62159456470, 436.89313161450],
|
|
[2.492, 2.96129217279, 2214.74308759620],
|
|
[2.704, 2.88483697319, 643.07868005170],
|
|
[2.124, 1.61210282593, 218.92816973050],
|
|
[2.037, 4.63481160778, 188.02630117250],
|
|
[2.394, 3.46386258552, 6275.96230299060],
|
|
[1.973, 2.28886138203, 2627.11418447060],
|
|
[1.937, 5.67082364247, 28.45418800320],
|
|
[1.920, 4.25647211328, 546.95644048200],
|
|
[2.498, 3.57572154405, 2420.92863603340],
|
|
[1.898, 1.30987536388, 212.33588759150],
|
|
[1.852, 1.58508015515, 424.15051032120],
|
|
[1.850, 3.57830449726, 329.72519178090],
|
|
[2.128, 3.95329215734, 1795.25844372100],
|
|
[2.236, 4.22073549375, 2221.85663459700],
|
|
[1.933, 1.68771499202, 350.33211960040],
|
|
[1.799, 2.06541260431, 144.14657116320],
|
|
[1.904, 4.60953896857, 182.27960680100],
|
|
[2.236, 5.17945392885, 99.16062095550],
|
|
[1.755, 2.73425330428, 291.26208774300],
|
|
[2.231, 5.42548168745, 207.88246946660],
|
|
[1.848, 2.24194286719, 168.05251279940],
|
|
[1.726, 1.31878655393, 219.44943459230],
|
|
[1.709, 5.55913931846, 92.79783348010],
|
|
[1.693, 1.95360003617, 129.91947716160],
|
|
[2.064, 4.84900344498, 1141.13406340540],
|
|
[1.758, 5.05088656436, 214.26230328450],
|
|
[1.781, 2.85880153340, 636.71589257630],
|
|
[1.900, 2.90295578617, 2310.72231481400],
|
|
[1.759, 5.34657858395, 45.57665103870],
|
|
[1.654, 6.14450664508, 554.06998748280],
|
|
[1.578, 4.50941374663, 210.37833413120],
|
|
[1.681, 3.55136706992, 1354.43315884340],
|
|
[1.862, 3.01276783582, 2317.83586181480],
|
|
[1.589, 1.15773448350, 235.39049596580],
|
|
[1.551, 2.15558953807, 207.67002114550],
|
|
[1.874, 4.12861627986, 225.82926841020],
|
|
[1.621, 3.29992957653, 1670.82502850000],
|
|
[1.911, 0.17724319140, 12.53017297220],
|
|
[1.477, 5.90270260570, 1.48447270830],
|
|
[1.618, 5.72513459206, 1485.98012106520],
|
|
[1.446, 1.78104589920, 1382.88734684660],
|
|
[1.683, 3.43534671475, 2428.04218303420],
|
|
[1.542, 5.51223038941, 204.70107572890],
|
|
[1.420, 2.07339356364, 198.32124191100],
|
|
[1.444, 5.56032454849, 128.36556848410],
|
|
[1.476, 6.12782257368, 212.77783057620],
|
|
[1.474, 0.33626790634, 213.82036029980],
|
|
[1.428, 3.25039966249, 945.99421523210],
|
|
[1.410, 0.68747644676, 429.04587143080],
|
|
[1.752, 2.70090942746, 12.74262129330],
|
|
[1.681, 4.97526853273, 2008.55753915900],
|
|
[1.408, 0.80461100746, 1585.14074202070],
|
|
[1.485, 0.49674043855, 120.35824960600],
|
|
[1.490, 2.68459799437, 207.14875628370],
|
|
[1.411, 4.36399216092, 5863.59120611620],
|
|
[1.315, 4.73430848989, 241.75328344120],
|
|
[1.516, 4.99488503706, 1162.47470440780],
|
|
[1.310, 1.98714265058, 563.63121503840],
|
|
[1.286, 2.12891372062, 251.43213107580],
|
|
[1.271, 5.70165238307, 2.92076130680],
|
|
[1.312, 1.68811514551, 2207.62954059540],
|
|
[1.259, 0.35924965717, 334.55111692130],
|
|
[1.252, 2.14513440216, 1055.44977692610],
|
|
[1.401, 6.13250261735, 1802.37199072180],
|
|
[1.343, 5.79995727295, 9793.80090233580],
|
|
[1.228, 3.29059284057, 661.23792731640],
|
|
[1.202, 2.88792018909, 2413.81508903260],
|
|
[1.286, 5.72360160371, 298.23262239190],
|
|
[1.357, 0.93175963411, 217.49188113200],
|
|
[1.356, 2.28121627817, 601.76425067620],
|
|
[1.190, 1.94993809928, 501.37978944330],
|
|
[1.304, 0.37337923280, 3473.19701922180],
|
|
[1.350, 2.87235622320, 142.44965013380],
|
|
[1.349, 3.21102203937, 175.16605980020],
|
|
[1.312, 3.70149813509, 2111.65031337760],
|
|
[1.129, 1.08860603834, 842.15068148810],
|
|
[1.237, 0.08698781252, 526.50957135690],
|
|
[1.217, 3.89835349840, 209.10630974400],
|
|
[1.467, 1.16228775027, 621.73803904930],
|
|
[1.044, 0.30512759901, 436.15941843160],
|
|
[1.140, 5.33720637097, 114.13847448250],
|
|
[1.295, 4.70261675421, 9786.68735533500],
|
|
[1.037, 4.07846687083, 156.67674413540],
|
|
[1.391, 4.73554028436, 398.14400287280],
|
|
[1.167, 5.68899703631, 479.28838891550],
|
|
[1.035, 5.34279429465, 327.43756992050],
|
|
[0.997, 1.19323192891, 710.74673161820],
|
|
[1.193, 5.17722376816, 98.89998852460],
|
|
[1.165, 4.58588490135, 732.69511979410],
|
|
[1.161, 4.90854984994, 10206.17199921020],
|
|
[1.144, 0.50394784140, 3906.90875709860],
|
|
[1.182, 3.69482624364, 2854.64037391020],
|
|
[0.970, 2.89031410383, 1987.21689815660],
|
|
[1.039, 0.48694895443, 525.49817940060],
|
|
[1.079, 3.61750956217, 2097.42321937600],
|
|
[1.148, 3.31015591733, 5856.47765911540],
|
|
[1.241, 4.31971543677, 230.70758317730],
|
|
[0.910, 4.59825926062, 380.12776796000],
|
|
[0.907, 1.34912454077, 685.47393735270],
|
|
[1.166, 1.61085609717, 5849.36411211460],
|
|
[0.882, 6.12045540405, 519.39602435610],
|
|
[0.963, 4.96065454054, 699.70103135430],
|
|
[1.062, 5.13323858077, 2751.54759969160],
|
|
[0.865, 6.12821112133, 245.54242435240],
|
|
[1.100, 2.18435744407, 1699.27921650320],
|
|
[0.822, 5.55083534581, 739.05790726950],
|
|
[0.926, 2.01158276144, 417.03696332040],
|
|
[0.813, 5.18401872205, 214.78356814630],
|
|
[1.033, 5.48677848094, 3995.77443731560],
|
|
[0.872, 3.02363724703, 306.09692891810],
|
|
[0.796, 0.44343664540, 486.40193591630],
|
|
[0.878, 1.82164034386, 135.33610313300],
|
|
[0.791, 2.14989417962, 2620.00063746980],
|
|
[0.881, 2.39697554334, 289.56516671360],
|
|
[0.782, 4.50471317138, 980.66817835880],
|
|
[0.783, 1.14229319753, 540.73666535850],
|
|
[0.831, 0.69937251013, 421.93232443000],
|
|
[0.770, 2.40292326155, 576.16138801060],
|
|
[0.950, 5.97621460162, 196.62432088160],
|
|
[0.814, 4.19303098086, 831.10498122420],
|
|
[0.969, 4.78071024754, 326.68681039510],
|
|
[0.760, 0.44860533530, 425.63498302950],
|
|
[0.907, 0.94781730418, 525.75881183150],
|
|
[0.788, 0.14287187051, 916.93228005540],
|
|
[0.801, 1.86383119100, 3039.48528134500],
|
|
[0.801, 0.46947170994, 3466.08347222100],
|
|
[0.747, 6.05374861925, 211.81462272970],
|
|
[0.968, 3.02618272726, 2634.22773147140],
|
|
[0.739, 2.27110740297, 2303.60876781320],
|
|
[0.750, 5.48554383902, 173.94221952280],
|
|
[1.024, 1.91564925560, 229.97386999440],
|
|
[0.816, 4.98990432666, 4209.07353275360],
|
|
[0.728, 1.30997967935, 511.53171782990],
|
|
[0.716, 3.74192651696, 3053.71237534660],
|
|
[0.727, 0.39191881243, 1493.09366806600],
|
|
[0.717, 2.68899513085, 228.27694896500],
|
|
[0.739, 2.12749199443, 1176.70179840940],
|
|
[0.805, 0.07187193910, 556.51766803760],
|
|
[0.835, 3.48287855700, 84.93352695390],
|
|
[0.790, 0.48073040004, 4017.11507831800],
|
|
[0.725, 1.96643065215, 220.46082654860],
|
|
[0.683, 2.68825142163, 151.04766984290],
|
|
[0.739, 3.33688408107, 953.10776223290],
|
|
[0.745, 6.22304530635, 1269.49963188950],
|
|
],
|
|
# R3
|
|
[
|
|
[20315.005, 3.02186626038, 213.29909543800],
|
|
[8923.581, 3.19144205755, 220.41264243880],
|
|
[6908.677, 4.35174889353, 206.18554843720],
|
|
[4087.129, 4.22406927376, 7.11354700080],
|
|
[3879.041, 2.01056445995, 426.59819087600],
|
|
[1070.788, 4.20360341236, 199.07200143640],
|
|
[907.332, 2.28344368029, 433.71173787680],
|
|
[606.121, 3.17458570534, 227.52618943960],
|
|
[596.639, 4.13455753351, 14.22709400160],
|
|
[483.181, 1.17345973258, 639.89728631400],
|
|
[393.174, 0.00000000000, 0.00000000000],
|
|
[229.472, 4.69838526383, 419.48464387520],
|
|
[188.250, 4.59003889007, 110.20632121940],
|
|
[149.508, 3.20199444400, 103.09277421860],
|
|
[121.442, 3.76831374104, 323.50541665740],
|
|
[101.215, 5.81884137755, 412.37109687440],
|
|
[102.146, 4.70974422803, 95.97922721780],
|
|
[93.078, 1.43531270909, 647.01083331480],
|
|
[72.601, 4.15395598507, 117.31986822020],
|
|
[84.347, 2.63462379693, 216.48048917570],
|
|
[62.198, 2.31239345505, 440.82528487760],
|
|
[45.145, 4.37317047297, 191.95845443560],
|
|
[49.536, 2.38854232908, 209.36694217490],
|
|
[54.829, 0.30526468471, 853.19638175200],
|
|
[40.498, 1.83836569765, 302.16477565500],
|
|
[38.089, 5.94455115525, 88.86568021700],
|
|
[32.243, 4.01146349387, 21.34064100240],
|
|
[40.671, 0.68845183210, 522.57741809380],
|
|
[28.209, 5.77193013961, 210.11770170030],
|
|
[24.976, 3.06249709014, 234.63973644040],
|
|
[20.824, 4.92570695678, 625.67019231240],
|
|
[25.070, 0.73137425284, 515.46387109300],
|
|
[17.485, 5.73135068691, 728.76296653100],
|
|
[18.009, 1.45593152612, 309.27832265580],
|
|
[16.927, 3.52771580455, 3.18139373770],
|
|
[13.437, 3.36479898106, 330.61896365820],
|
|
[11.090, 3.37212682914, 224.34479570190],
|
|
[11.082, 3.41719974793, 956.28915597060],
|
|
[9.978, 1.58791582772, 202.25339517410],
|
|
[11.551, 5.99093726182, 735.87651353180],
|
|
[10.500, 6.06911092266, 405.25754987360],
|
|
[9.144, 2.93557421591, 124.43341522100],
|
|
[8.737, 4.65432480769, 632.78373931320],
|
|
[10.023, 0.58247011625, 860.30992875280],
|
|
[7.482, 4.50669216436, 942.06206196900],
|
|
[10.091, 0.28268774007, 838.96928775040],
|
|
[9.243, 2.57034547708, 223.59403617650],
|
|
[8.652, 1.75808100881, 429.77958461370],
|
|
[7.564, 1.45635107202, 654.12438031560],
|
|
[7.058, 5.47394786065, 1045.15483618760],
|
|
[6.970, 1.51811695028, 422.66603761290],
|
|
[8.067, 4.48457709292, 742.99006053260],
|
|
[6.817, 4.83084424818, 316.39186965660],
|
|
[7.693, 0.43769724671, 831.85574074960],
|
|
[7.934, 4.20112367712, 195.13984817330],
|
|
[6.119, 2.33960392135, 269.92144674060],
|
|
[5.589, 1.14518720694, 284.14854074220],
|
|
[5.564, 4.18123189068, 529.69096509460],
|
|
[5.034, 2.12020038657, 295.05122865420],
|
|
[6.556, 3.42459866876, 10.29494073850],
|
|
[5.544, 2.46823271699, 536.80451209540],
|
|
[6.189, 6.01433827520, 1066.49547719000],
|
|
[5.649, 0.82784598388, 217.23124870110],
|
|
[4.264, 3.23245736673, 1272.68102562720],
|
|
[4.450, 0.92477808590, 203.00415469950],
|
|
[3.268, 4.32777516976, 1258.45393162560],
|
|
[3.655, 0.05832123987, 81.75213321620],
|
|
[3.951, 0.11124996745, 1155.36115740700],
|
|
[3.773, 6.01157059552, 1052.26838318840],
|
|
[2.915, 5.64342950039, 3.93215326310],
|
|
[3.019, 2.19411778004, 447.93883187840],
|
|
[2.977, 1.89387342550, 149.56319713460],
|
|
[3.146, 0.19215180096, 1148.24761040620],
|
|
[2.763, 0.92363342001, 508.35032409220],
|
|
[2.790, 4.97199778427, 1677.93857550080],
|
|
[2.608, 2.99591016813, 1589.07289528380],
|
|
[2.881, 5.40535671721, 1361.54670584420],
|
|
[2.337, 1.30362271569, 184.84490743480],
|
|
[2.536, 3.71412120849, 408.43894361130],
|
|
[2.450, 3.22118361135, 319.57326339430],
|
|
[2.585, 2.31346415454, 543.91805909620],
|
|
[2.324, 5.87500715503, 721.64941953020],
|
|
[1.990, 0.51565577383, 416.30325013750],
|
|
[2.490, 4.24017800021, 1059.38193018920],
|
|
[1.935, 2.41463084855, 337.73251065900],
|
|
[1.886, 0.53809070779, 635.96513305090],
|
|
[1.893, 5.62352727352, 11.04570026390],
|
|
[2.389, 5.73399981234, 313.21047591890],
|
|
[1.900, 2.41000566465, 131.54696222180],
|
|
[1.743, 4.57646237847, 1994.33044515740],
|
|
[1.913, 5.17436386408, 2854.64037391020],
|
|
[1.946, 6.23355845623, 1471.75302706360],
|
|
[1.963, 6.17814558628, 1464.63948006280],
|
|
[1.838, 5.59464577559, 1038.04128918680],
|
|
[1.541, 0.60765337379, 210.85141488320],
|
|
[1.617, 1.75479346067, 195.89060769870],
|
|
[1.577, 0.55789908488, 2324.94940881560],
|
|
[1.492, 0.26624235633, 497.44763618020],
|
|
[1.659, 2.57526072926, 2090.30967237520],
|
|
[1.809, 1.82317819973, 436.89313161450],
|
|
[1.566, 6.15328100324, 490.33408917940],
|
|
[1.771, 6.11741716855, 1073.60902419080],
|
|
[1.456, 0.85374460914, 415.55249061210],
|
|
[1.645, 2.95335775161, 437.64389113990],
|
|
[1.391, 4.12025028560, 1574.84580128220],
|
|
[1.585, 5.96841377266, 1781.03134971940],
|
|
[1.507, 3.84895122542, 1251.34038462480],
|
|
[1.442, 5.32547705924, 2538.24850425360],
|
|
[1.805, 1.50973093681, 750.10360753340],
|
|
[1.462, 3.28599831588, 1884.12412393800],
|
|
[1.482, 0.99340744053, 643.07868005170],
|
|
[1.312, 3.79347668996, 1567.73225428140],
|
|
[1.665, 0.02551523913, 423.41679713830],
|
|
[1.469, 5.35285153471, 1354.43315884340],
|
|
[1.352, 0.69945139243, 867.42347575360],
|
|
[1.124, 1.79624810407, 618.55664531160],
|
|
[1.126, 4.70052329245, 113.38771495710],
|
|
[1.122, 3.95537224270, 1891.23767093880],
|
|
[1.458, 1.50198846753, 430.53034413910],
|
|
[1.145, 5.13093399117, 25.27279426550],
|
|
[1.178, 2.97062300389, 241.75328344120],
|
|
[1.274, 2.29089799814, 2420.92863603340],
|
|
[1.071, 0.04888943982, 63.73589830340],
|
|
[1.377, 5.58271514873, 1382.88734684660],
|
|
[1.145, 3.10797488346, 2200.51599359460],
|
|
[1.076, 0.79465514815, 127.47179660680],
|
|
[1.046, 5.85060227045, 215.74677599280],
|
|
[1.082, 3.72589445510, 131.40394986990],
|
|
[1.218, 0.47504349592, 824.74219374880],
|
|
[1.116, 3.78039049056, 1375.77379984580],
|
|
[0.969, 5.90752273481, 265.98929347750],
|
|
[1.230, 1.41325962069, 2634.22773147140],
|
|
[1.070, 4.80334493874, 1987.21689815660],
|
|
[0.946, 6.25968535931, 2015.67108615980],
|
|
[1.030, 1.08973644893, 362.86229257260],
|
|
[1.072, 5.41838042079, 1279.79457262800],
|
|
[0.880, 1.92224908504, 483.22054217860],
|
|
[0.878, 2.96591300878, 934.94851496820],
|
|
[0.879, 2.65659265685, 145.63104387150],
|
|
[0.872, 6.26261969664, 2.44768055480],
|
|
[1.082, 4.48298283322, 2214.74308759620],
|
|
[0.959, 0.74479087918, 16.67477455640],
|
|
[1.035, 4.05664979327, 231.45834270270],
|
|
[0.851, 0.09360495322, 628.85158605010],
|
|
[0.888, 5.98816755324, 2524.02141025200],
|
|
[0.866, 3.16259265630, 2207.62954059540],
|
|
[0.843, 1.23731248821, 74.78159856730],
|
|
[0.809, 2.89742868175, 2008.55753915900],
|
|
[0.779, 2.28434811609, 1478.86657406440],
|
|
[0.990, 5.32604038017, 2428.04218303420],
|
|
[0.795, 2.38178135810, 2228.97018159780],
|
|
[0.765, 4.70033674940, 1670.82502850000],
|
|
[1.024, 4.23352869513, 1802.37199072180],
|
|
[0.831, 5.87457134912, 1368.66025284500],
|
|
[0.717, 5.92144324994, 1685.05212250160],
|
|
[0.772, 1.15596098579, 3053.71237534660],
|
|
[0.691, 3.13193109668, 56.62235130260],
|
|
],
|
|
# R4
|
|
[
|
|
[1202.050, 1.41499446465, 220.41264243880],
|
|
[707.796, 1.16153570102, 213.29909543800],
|
|
[516.121, 6.23973568330, 206.18554843720],
|
|
[426.664, 2.46924890293, 7.11354700080],
|
|
[267.736, 0.18659206741, 426.59819087600],
|
|
[170.171, 5.95926972384, 199.07200143640],
|
|
[145.113, 1.44211060143, 227.52618943960],
|
|
[150.339, 0.47970167140, 433.71173787680],
|
|
[121.033, 2.40527320817, 14.22709400160],
|
|
[47.332, 5.56857488676, 639.89728631400],
|
|
[15.745, 2.90112466278, 110.20632121940],
|
|
[16.668, 0.52920774279, 440.82528487760],
|
|
[18.954, 5.85626429118, 647.01083331480],
|
|
[14.074, 1.30343550656, 412.37109687440],
|
|
[12.708, 2.09349305926, 323.50541665740],
|
|
[14.724, 0.29905316786, 419.48464387520],
|
|
[11.133, 2.46304825990, 117.31986822020],
|
|
[11.320, 0.21785507019, 95.97922721780],
|
|
[9.233, 2.28127318068, 21.34064100240],
|
|
[9.246, 1.56496312830, 88.86568021700],
|
|
[8.970, 0.68301278041, 216.48048917570],
|
|
[7.674, 3.59367715368, 302.16477565500],
|
|
[7.823, 4.48688804175, 853.19638175200],
|
|
[8.360, 1.27239488455, 234.63973644040],
|
|
[9.552, 3.14159265359, 0.00000000000],
|
|
[4.834, 2.58836294602, 515.46387109300],
|
|
[6.059, 5.16774448740, 103.09277421860],
|
|
[4.410, 0.02211643085, 191.95845443560],
|
|
[4.364, 1.59622746023, 330.61896365820],
|
|
[3.676, 3.29899839673, 210.11770170030],
|
|
[4.364, 5.97349927933, 654.12438031560],
|
|
[4.447, 4.97415112184, 860.30992875280],
|
|
[3.220, 2.72684237392, 522.57741809380],
|
|
[4.005, 1.59858435636, 405.25754987360],
|
|
[3.099, 0.75235436533, 209.36694217490],
|
|
[2.464, 1.19167306488, 124.43341522100],
|
|
[3.088, 1.32258934286, 728.76296653100],
|
|
[2.220, 3.28087994088, 203.00415469950],
|
|
[2.127, 6.14648095022, 429.77958461370],
|
|
[2.110, 0.75462855247, 295.05122865420],
|
|
[2.020, 3.89394929749, 1066.49547719000],
|
|
[2.248, 0.49319150178, 447.93883187840],
|
|
[2.180, 0.72761059998, 625.67019231240],
|
|
[1.809, 0.09057839517, 942.06206196900],
|
|
[1.672, 1.39635398184, 224.34479570190],
|
|
[1.641, 3.02468307550, 184.84490743480],
|
|
[1.772, 0.81879250825, 223.59403617650],
|
|
[1.902, 2.00472814984, 831.85574074960],
|
|
[1.600, 5.41185167676, 824.74219374880],
|
|
[1.505, 5.95520747253, 422.66603761290],
|
|
[1.133, 1.11512973946, 838.96928775040],
|
|
[1.190, 1.89600567803, 956.28915597060],
|
|
[1.487, 2.11906469507, 529.69096509460],
|
|
[1.409, 0.72254420236, 536.80451209540],
|
|
[1.125, 0.89062692183, 721.64941953020],
|
|
[1.301, 1.64867038984, 17.40848773930],
|
|
[1.164, 5.96957981840, 195.13984817330],
|
|
[0.950, 5.36080713290, 316.39186965660],
|
|
[0.985, 3.05768671768, 1574.84580128220],
|
|
[1.050, 1.59202481523, 735.87651353180],
|
|
[0.817, 4.92838813598, 56.62235130260],
|
|
[0.780, 2.72125404102, 508.35032409220],
|
|
[0.969, 1.00708261792, 1045.15483618760],
|
|
[0.716, 1.11042181341, 1169.58825140860],
|
|
],
|
|
# R5
|
|
[
|
|
[128.612, 5.91282565136, 220.41264243880],
|
|
[32.273, 0.69256228602, 7.11354700080],
|
|
[26.698, 5.91428528629, 227.52618943960],
|
|
[19.923, 0.67370653385, 14.22709400160],
|
|
[20.223, 4.95136801768, 433.71173787680],
|
|
[13.537, 1.45669521408, 199.07200143640],
|
|
[14.097, 2.67074280191, 206.18554843720],
|
|
[13.364, 4.58826996370, 426.59819087600],
|
|
[7.257, 4.62966127155, 213.29909543800],
|
|
[4.876, 3.61448275002, 639.89728631400],
|
|
[3.136, 4.65661021909, 191.95845443560],
|
|
[2.917, 0.48665273315, 323.50541665740],
|
|
[3.759, 4.89624165044, 440.82528487760],
|
|
[3.303, 4.07190859545, 647.01083331480],
|
|
[2.883, 3.18003019204, 419.48464387520],
|
|
[2.338, 3.69553554327, 88.86568021700],
|
|
[1.950, 5.32729247780, 302.16477565500],
|
|
[2.052, 3.31663577368, 95.97922721780],
|
|
[1.591, 2.67009215574, 853.19638175200],
|
|
[2.028, 0.56025552769, 117.31986822020],
|
|
[1.560, 0.85608042681, 515.46387109300],
|
|
[1.678, 0.00000000000, 0.00000000000],
|
|
[1.102, 5.98011943842, 3.18139373770],
|
|
[1.285, 5.82563377753, 234.63973644040],
|
|
[0.896, 5.22791858719, 216.48048917570],
|
|
[1.141, 0.15741228205, 412.37109687440],
|
|
[0.798, 0.37452846153, 28.45418800320],
|
|
[0.837, 5.04769794123, 124.43341522100],
|
|
],
|
|
]
|
|
"""This table contains Saturn'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 pages 442-445."""
|
|
|
|
|
|
ORBITAL_ELEM = [
|
|
[50.077444, 1223.5110686, 0.00051908, -0.00000003], # L
|
|
[9.554909192, -0.000002139, 0.000000004, 0.0], # a
|
|
[0.05554814, -0.000346641, -0.0000006436, 0.0000000034], # e
|
|
[2.488879, -0.0037362, -0.00001519, 0.000000087], # i
|
|
[113.665503, 0.877088, -0.00012176, -0.000002249], # Omega
|
|
[93.057237, 1.9637613, 0.00083753, 0.000004928] # pie
|
|
]
|
|
"""This table contains the parameters to compute Saturn's orbital elements for
|
|
the mean equinox of date. Based in Table 31.A, page 213"""
|
|
|
|
|
|
ORBITAL_ELEM_J2000 = [
|
|
[50.077444, 1222.1138488, 0.00021004, -0.000000046], # L
|
|
[2.488879, 0.0025514, -0.00004906, 0.000000017], # i
|
|
[113.665503, -0.2566722, -0.00018399, 0.00000048], # Omega
|
|
[93.057237, 0.5665415, 0.0005285, 0.000004912] # pie
|
|
]
|
|
"""This table contains the parameters to compute Saturn's orbital elements for
|
|
the standard equinox J2000.0. Based on Table 31.B, page 215"""
|
|
|
|
|
|
class Saturn(object):
|
|
"""
|
|
Class Saturn models that planet.
|
|
"""
|
|
|
|
@staticmethod
|
|
def geometric_heliocentric_position(epoch, tofk5=True):
|
|
"""This method computes the geometric heliocentric position of planet
|
|
Saturn for a given epoch, using the VSOP87 theory.
|
|
|
|
:param epoch: Epoch to compute Saturn 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 = Saturn.geometric_heliocentric_position(epoch)
|
|
>>> print(round(l.to_positive(), 4))
|
|
279.5108
|
|
>>> print(round(b, 4))
|
|
0.6141
|
|
>>> print(round(r, 5))
|
|
10.06266
|
|
"""
|
|
|
|
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
|
|
Saturn for a given epoch, using the VSOP87 theory.
|
|
|
|
:param epoch: Epoch to compute Saturn 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 Saturn 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 = Saturn.orbital_elements_mean_equinox(epoch)
|
|
>>> print(round(l, 6))
|
|
131.196871
|
|
>>> print(round(a, 8))
|
|
9.55490779
|
|
>>> print(round(e, 7))
|
|
0.0553209
|
|
>>> print(round(i, 6))
|
|
2.486426
|
|
>>> print(round(ome, 5))
|
|
114.23974
|
|
>>> print(round(arg, 6))
|
|
-19.896331
|
|
"""
|
|
|
|
return orbital_elements(epoch, ORBITAL_ELEM, ORBITAL_ELEM)
|
|
|
|
@staticmethod
|
|
def orbital_elements_j2000(epoch):
|
|
"""This method computes the orbital elements of Saturn 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 = Saturn.orbital_elements_j2000(epoch)
|
|
>>> print(round(l, 6))
|
|
130.28188
|
|
>>> print(round(a, 8))
|
|
9.55490779
|
|
>>> print(round(e, 7))
|
|
0.0553209
|
|
>>> print(round(i, 6))
|
|
2.490529
|
|
>>> print(round(ome, 5))
|
|
113.49736
|
|
>>> print(round(arg, 6))
|
|
-20.068943
|
|
"""
|
|
|
|
return orbital_elements(epoch, ORBITAL_ELEM, ORBITAL_ELEM_J2000)
|
|
|
|
@staticmethod
|
|
def geocentric_position(epoch):
|
|
"""This method computes the geocentric position of Saturn (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 = Saturn.geocentric_position(epoch)
|
|
>>> print(ra.ra_str(n_dec=1))
|
|
21h 11' 41.8''
|
|
>>> print(dec.dms_str(n_dec=1))
|
|
-17d 15' 40.8''
|
|
>>> print(elon.dms_str(n_dec=1))
|
|
46d 51' 47.7''
|
|
"""
|
|
|
|
# First check that input value is of correct types
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input type")
|
|
# Compute the heliocentric position of Saturn
|
|
l, b, r = Saturn.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 Saturn coordinates with this correction
|
|
l, b, r = Saturn.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 conjunction(epoch):
|
|
"""This method computes the time of the conjunction closest to the
|
|
given epoch.
|
|
|
|
:param epoch: Epoch close to the desired conjunction
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: The time when the 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(2125, 6, 1.0)
|
|
>>> conj = Saturn.conjunction(epoch)
|
|
>>> y, m, d = conj.get_date()
|
|
>>> print(y)
|
|
2125
|
|
>>> print(m)
|
|
8
|
|
>>> print(round(d, 4))
|
|
26.4035
|
|
"""
|
|
|
|
# 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 Saturn's conjunction
|
|
a = 2451681.124
|
|
b = 378.091904
|
|
m0 = 131.6934
|
|
m1 = 12.647487
|
|
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
|
|
# Compute auxiliary angles
|
|
aa = 82.74 + 40.76 * t
|
|
bb = 29.86 + 1181.36 * t
|
|
cc = 14.13 + 590.68 * t
|
|
dd = 220.02 + 1262.87 * t
|
|
# Convert to radians
|
|
aa = Angle(aa).rad()
|
|
bb = Angle(bb).rad()
|
|
cc = Angle(cc).rad()
|
|
dd = Angle(dd).rad()
|
|
corr = (0.0172 + t * (-0.0006 + t * 0.00023) +
|
|
sin(m) * (-8.5885 + t * (0.0411 + t * 0.0002)) +
|
|
cos(m) * (-1.147 + t * (0.0352 - t * 0.00011)) +
|
|
sin(2.0 * m) * (0.3331 + t * (-0.0034 - t * 0.00001)) +
|
|
cos(2.0 * m) * (0.1145 + t * (-0.0045 + t * 0.00002)) +
|
|
sin(3.0 * m) * (-0.0169 + t * 0.0002) +
|
|
cos(3.0 * m) * (-0.0109 + t * 0.0004) +
|
|
sin(aa) * (0.0 + t * (-0.0337 + t * 0.00018)) +
|
|
cos(aa) * (-0.851 + t * (0.0044 + t * 0.00068)) +
|
|
sin(bb) * (0.0 + t * (-0.0064 + t * 0.00004)) +
|
|
cos(bb) * (0.2397 + t * (-0.0012 - t * 0.00008)) +
|
|
sin(cc) * (0.0 - t * 0.001) +
|
|
cos(cc) * (0.1245 + t * 0.0006) +
|
|
sin(dd) * (0.0 + t * (0.0024 - t * 0.00003)) +
|
|
cos(dd) * (0.0477 + t * (-0.0005 - t * 0.00006)))
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return)
|
|
|
|
@staticmethod
|
|
def opposition(epoch):
|
|
"""This method computes the time of the opposition closest to the given
|
|
epoch.
|
|
|
|
:param epoch: Epoch close to the desired opposition
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: The time when the opposition 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(-6, 9, 1.0)
|
|
>>> oppo = Saturn.opposition(epoch)
|
|
>>> y, m, d = oppo.get_date()
|
|
>>> print(y)
|
|
-6
|
|
>>> print(m)
|
|
9
|
|
>>> print(round(d, 4))
|
|
14.3709
|
|
"""
|
|
|
|
# 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 Saturn's opposition
|
|
a = 2451870.17
|
|
b = 378.091904
|
|
m0 = 318.0172
|
|
m1 = 12.647487
|
|
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
|
|
# Compute an auxiliary angle
|
|
aa = 82.74 + 40.76 * t
|
|
bb = 29.86 + 1181.36 * t
|
|
cc = 14.13 + 590.68 * t
|
|
dd = 220.02 + 1262.87 * t
|
|
# Convert to radians
|
|
aa = Angle(aa).rad()
|
|
bb = Angle(bb).rad()
|
|
cc = Angle(cc).rad()
|
|
dd = Angle(dd).rad()
|
|
corr = (-0.0209 + t * (0.0006 + t * 0.00023) +
|
|
sin(m) * (4.5795 + t * (-0.0312 - t * 0.00017)) +
|
|
cos(m) * (1.1462 + t * (-0.0351 + t * 0.00011)) +
|
|
sin(2.0 * m) * (0.0985 - t * 0.0015) +
|
|
cos(2.0 * m) * (0.0733 + t * (-0.0031 + t * 0.00001)) +
|
|
sin(3.0 * m) * (0.0025 - t * 0.0001) +
|
|
cos(3.0 * m) * (0.005 - t * 0.0002) +
|
|
sin(aa) * (0.0 + t * (-0.0337 + t * 0.00018)) +
|
|
cos(aa) * (-0.851 + t * (0.0044 + t * 0.00068)) +
|
|
sin(bb) * (0.0 + t * (-0.0064 + t * 0.00004)) +
|
|
cos(bb) * (0.2397 + t * (-0.0012 - t * 0.00008)) +
|
|
sin(cc) * (0.0 - t * 0.001) +
|
|
cos(cc) * (0.1245 + t * 0.0006) +
|
|
sin(dd) * (0.0 + t * (0.0024 - t * 0.00003)) +
|
|
cos(dd) * (0.0477 + t * (-0.0005 - t * 0.00006)))
|
|
to_return = jde0 + corr
|
|
return Epoch(to_return)
|
|
|
|
@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 opposition
|
|
:type epoch: :py:class:`Epoch`
|
|
|
|
:returns: Time when the 1st 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(2018, 11, 1.0)
|
|
>>> sta1 = Saturn.station_longitude_1(epoch)
|
|
>>> y, m, d = sta1.get_date()
|
|
>>> print(y)
|
|
2018
|
|
>>> print(m)
|
|
4
|
|
>>> print(round(d, 4))
|
|
17.9433
|
|
"""
|
|
|
|
# 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 Saturn's opposition
|
|
a = 2451870.17
|
|
b = 378.091904
|
|
m0 = 318.0172
|
|
m1 = 12.647487
|
|
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
|
|
# Compute an auxiliary angle
|
|
aa = 82.74 + 40.76 * t
|
|
bb = 29.86 + 1181.36 * t
|
|
cc = 14.13 + 590.68 * t
|
|
dd = 220.02 + 1262.87 * t
|
|
# Convert to radians
|
|
aa = Angle(aa).rad()
|
|
bb = Angle(bb).rad()
|
|
cc = Angle(cc).rad()
|
|
dd = Angle(dd).rad()
|
|
corr = (-68.884 + t * (0.0009 + t * 0.00023) +
|
|
sin(m) * (5.5452 + t * (-0.0279 - t * 0.0002)) +
|
|
cos(m) * (3.0727 + t * (-0.043 + t * 0.00007)) +
|
|
sin(2.0 * m) * (0.1101 + t * (-0.0006 - t * 0.00001)) +
|
|
cos(2.0 * m) * (0.1654 + t * (-0.0043 + t * 0.00001)) +
|
|
sin(3.0 * m) * (0.001 + t * 0.0001) +
|
|
cos(3.0 * m) * (0.0095 - t * 0.0003) +
|
|
sin(aa) * (0.0 + t * (-0.0337 + t * 0.00018)) +
|
|
cos(aa) * (-0.851 + t * (0.0044 + t * 0.00068)) +
|
|
sin(bb) * (0.0 + t * (-0.0064 + t * 0.00004)) +
|
|
cos(bb) * (0.2397 + t * (-0.0012 - t * 0.00008)) +
|
|
sin(cc) * (0.0 - t * 0.001) +
|
|
cos(cc) * (0.1245 + t * 0.0006) +
|
|
sin(dd) * (0.0 + t * (0.0024 - t * 0.00003)) +
|
|
cos(dd) * (0.0477 + t * (-0.0005 - t * 0.00006)))
|
|
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 opposition
|
|
: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(2018, 11, 1.0)
|
|
>>> sta2 = Saturn.station_longitude_2(epoch)
|
|
>>> y, m, d = sta2.get_date()
|
|
>>> print(y)
|
|
2018
|
|
>>> print(m)
|
|
9
|
|
>>> print(round(d, 4))
|
|
6.4175
|
|
"""
|
|
|
|
# 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 Saturn's opposition
|
|
a = 2451870.17
|
|
b = 378.091904
|
|
m0 = 318.0172
|
|
m1 = 12.647487
|
|
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
|
|
# Compute an auxiliary angle
|
|
aa = 82.74 + 40.76 * t
|
|
bb = 29.86 + 1181.36 * t
|
|
cc = 14.13 + 590.68 * t
|
|
dd = 220.02 + 1262.87 * t
|
|
# Convert to radians
|
|
aa = Angle(aa).rad()
|
|
bb = Angle(bb).rad()
|
|
cc = Angle(cc).rad()
|
|
dd = Angle(dd).rad()
|
|
corr = (68.872 + t * (-0.0007 + t * 0.00023) +
|
|
sin(m) * (5.9399 + t * (-0.04 - t * 0.00015)) +
|
|
cos(m) * (-0.7998 + t * (-0.0266 + t * 0.00014)) +
|
|
sin(2.0 * m) * (0.1738 - t * 0.0032) +
|
|
cos(2.0 * m) * (-0.0039 + t * (-0.0024 + t * 0.00001)) +
|
|
sin(3.0 * m) * (0.0073 - t * 0.0002) +
|
|
cos(3.0 * m) * (0.002 - t * 0.0002) +
|
|
sin(aa) * (0.0 + t * (-0.0337 + t * 0.00018)) +
|
|
cos(aa) * (-0.851 + t * (0.0044 + t * 0.00068)) +
|
|
sin(bb) * (0.0 + t * (-0.0064 + t * 0.00004)) +
|
|
cos(bb) * (0.2397 + t * (-0.0012 - t * 0.00008)) +
|
|
sin(cc) * (0.0 - t * 0.001) +
|
|
cos(cc) * (0.1245 + t * 0.0006) +
|
|
sin(dd) * (0.0 + t * (0.0024 - t * 0.00003)) +
|
|
cos(dd) * (0.0477 + t * (-0.0005 - t * 0.00006)))
|
|
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(1944, 1, 1.0)
|
|
>>> e = Saturn.perihelion_aphelion(epoch)
|
|
>>> y, m, d, h, mi, s = e.get_full_date()
|
|
>>> print(y)
|
|
1944
|
|
>>> print(m)
|
|
9
|
|
>>> print(d)
|
|
8
|
|
>>> print(h)
|
|
1
|
|
>>> epoch = Epoch(2047, 1, 1.0)
|
|
>>> e = Saturn.perihelion_aphelion(epoch, perihelion=False)
|
|
>>> y, m, d, h, mi, s = e.get_full_date()
|
|
>>> print(y)
|
|
2047
|
|
>>> print(m)
|
|
7
|
|
>>> print(d)
|
|
15
|
|
>>> print(h)
|
|
0
|
|
"""
|
|
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input value")
|
|
# First approximation
|
|
k = 0.03393 * (epoch.year() - 2003.52)
|
|
if perihelion:
|
|
k = round(k)
|
|
else:
|
|
k = round(k + 0.5) - 0.5
|
|
jde = 2452830.12 + k * (10764.21676 - k * 0.000827)
|
|
# Compute the epochs three months before and after
|
|
jde_before = jde - 90.0
|
|
jde_after = jde + 90.0
|
|
# Compute the Sun-Saturn distance for each epoch
|
|
l, b, r_b = Saturn.geometric_heliocentric_position(Epoch(jde_before))
|
|
l, b, r = Saturn.geometric_heliocentric_position(Epoch(jde))
|
|
l, b, r_a = Saturn.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 Saturn, 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:
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|
- 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)
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|
>>> time, r = Saturn.passage_nodes(epoch)
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|
>>> year, month, day = time.get_date()
|
|
>>> print(year)
|
|
2034
|
|
>>> print(month)
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|
5
|
|
>>> print(round(day, 1))
|
|
30.2
|
|
>>> print(round(r, 4))
|
|
9.0546
|
|
"""
|
|
|
|
if not isinstance(epoch, Epoch):
|
|
raise TypeError("Invalid input types")
|
|
# Get the orbital parameters
|
|
l, a, e, i, ome, arg = Saturn.orbital_elements_mean_equinox(epoch)
|
|
# Compute the time of passage through perihelion
|
|
t = Saturn.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, delta_u, b):
|
|
"""This function computes the approximate magnitude of Saturn.
|
|
|
|
:param sun_dist: Distance from Saturn to the Sun, in Astronomical Units
|
|
:type sun_dist: float
|
|
:param earth_dist: Distance from Saturn to Earth, in Astronomical Units
|
|
:type earth_dist: float
|
|
:param delta_u: Difference between the Saturnicentric longitudes of the
|
|
Sun and the Earth, measured in the plane of the ring
|
|
:type delta_u: float, :py:class:`Angle`
|
|
:param b: Saturnicentric latitude of the Earth refered to the plane of
|
|
the ring, positive towards the north
|
|
:type b: float, :py:class:`Angle`
|
|
|
|
:returns: Saturn's magnitude
|
|
:rtype: float
|
|
:raises: TypeError if input values are of wrong type.
|
|
|
|
>>> sun_dist = 9.867882
|
|
>>> earth_dist = 10.464606
|
|
>>> delta_u = Angle(16.442)
|
|
>>> b = Angle(4.198)
|
|
>>> m = Saturn.magnitude(sun_dist, earth_dist, delta_u, b)
|
|
>>> print(m)
|
|
1.9
|
|
"""
|
|
|
|
# WARNING: According to Example 41.d in page 286 of Meeus book, the
|
|
# result for the example above is 0.9 (instead of 1.9). However, after
|
|
# carefully checking the formula implemented here, I'm sure that the
|
|
# book has an error
|
|
if not (isinstance(sun_dist, float) and isinstance(earth_dist, float)
|
|
and isinstance(delta_u, (float, Angle))
|
|
and isinstance(b, (float, Angle))):
|
|
raise TypeError("Invalid input types")
|
|
delta_u = float(delta_u)
|
|
b = Angle(b).rad()
|
|
m = (-8.68 + 5.0 * log10(sun_dist * earth_dist) + 0.044 * abs(delta_u)
|
|
- 2.6 * sin(abs(b)) + 1.25 * sin(b) * sin(b))
|
|
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 Saturn class
|
|
print("\n" + 35 * "*")
|
|
print("*** Use of Saturn class")
|
|
print(35 * "*" + "\n")
|
|
|
|
# Let's now compute the heliocentric position for a given epoch
|
|
epoch = Epoch(2018, 10, 27.0)
|
|
lon, lat, r = Saturn.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 = Saturn.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 Saturn at 2065.6.24
|
|
epoch = Epoch(2065, 6, 24.0)
|
|
l, a, e, i, ome, arg = Saturn.orbital_elements_mean_equinox(epoch)
|
|
print_me("Mean longitude of the planet", round(l, 6)) # 131.196871
|
|
print_me("Semimajor axis of the orbit (UA)", round(a, 8)) # 9.55490779
|
|
print_me("Eccentricity of the orbit", round(e, 7)) # 0.0553209
|
|
print_me("Inclination on plane of the ecliptic", round(i, 6)) # 2.486426
|
|
print_me("Longitude of the ascending node", round(ome, 5)) # 114.23974
|
|
print_me("Argument of the perihelion", round(arg, 6)) # -19.896331
|
|
|
|
print("")
|
|
|
|
# Compute the time of the conjunction close to 2125/6/1
|
|
epoch = Epoch(2125, 6, 1.0)
|
|
conj = Saturn.conjunction(epoch)
|
|
y, m, d = conj.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Conjunction date", date)
|
|
|
|
# Compute the time of the opposition close to -6/9/1
|
|
epoch = Epoch(-6, 9, 1.0)
|
|
oppo = Saturn.opposition(epoch)
|
|
y, m, d = oppo.get_date()
|
|
d = round(d, 4)
|
|
date = "{}/{}/{}".format(y, m, d)
|
|
print_me("Opposition date", date)
|
|
|
|
print("")
|
|
|
|
# Compute the time of the station in longitude #1 close to 2018/11/1
|
|
epoch = Epoch(2018, 11, 1.0)
|
|
sta1 = Saturn.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 2018/11/1
|
|
epoch = Epoch(2018, 11, 1.0)
|
|
sta2 = Saturn.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 2000/1/1
|
|
epoch = Epoch(2000, 1, 1.0)
|
|
e = Saturn.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 = Saturn.passage_nodes(epoch)
|
|
y, m, d = time.get_date()
|
|
d = round(d, 1)
|
|
print("Time of passage through ascending node: {}/{}/{}".format(y, m, d))
|
|
# 2034/5/30.2
|
|
print("Radius vector at ascending node: {}".format(round(r, 4))) # 9.0546
|
|
|
|
|
|
if __name__ == "__main__":
|
|
|
|
main()
|