from issm.MatlabFuncs import *
from issm.model import *
import numpy as np
[docs]def love_numbers(value,*varargin):
#LOVE_NUMBERS: provide love numbers (value 'h','k','l','gamma' and 'lambda'
# retrieved from: http://www.srosat.com/iag-jsg/loveNb.php
# Usage: series=love_numbers(value)
# where value is one of 'h','k','l','gamma' and 'lambda'.
#
# Example:
# love_k=love_numbers('k');
#
#some checks:
if len(varargin)>0:
raise RuntimeError('love_numbers error message: wrong usage')
if value not in ['h','k','l','gamma','lambda']:
raise RuntimeError('value should be one of ''h'',''k'',''l'',''gamma'' and ''lambda''')
love_numbers=np.array([[ 0 , 0 ,0 ,0 ,0 ,0 ,0 ],
[ -1.28740059,-1.00000000,-0.89858519,1.28740059, 0.42519882 ,0.89858519 ,0.00000000 ],
[ -1.00025365, -0.30922675, 0.02060926, 1.69102690, 0.46358648, 0.67016399, 0.61829668],
[ -1.06243501, -0.19927948, 0.06801636, 1.86315553, 0.55741597, 0.73270416, 0.56270589],
[ -1.06779588, -0.13649834, 0.05667027, 1.93129754, 0.63672498, 0.80683140, 0.51132745],
[ -1.10365923, -0.10736896, 0.04401221, 1.99629027, 0.68737906, 0.84861883, 0.48642259],
[ -1.16440348, -0.09295485, 0.03638747, 2.07144863, 0.72031283, 0.87065768, 0.47898268],
[ -1.23634156, -0.08469861, 0.03202759, 2.15164295, 0.74355796, 0.88327380, 0.47955214],
[ -1.31140380, -0.07921412, 0.02937593, 2.23218968, 0.76126493, 0.89140995, 0.48323250],
[ -1.38582399, -0.07513541, 0.02762338, 2.31068858, 0.77552290, 0.89724121, 0.48795424],
[ -1.45807465, -0.07187005, 0.02638627, 2.38620460, 0.78744212, 0.90174369, 0.49291061],
[ -1.52763314, -0.06913154, 0.02547640, 2.45850160, 0.79766475, 0.90539206, 0.49779422],
[ -1.59437866, -0.06676258, 0.02479080, 2.52761607, 0.80659635, 0.90844662, 0.50248477],
[ -1.65833071, -0.06466619, 0.02426511, 2.59366452, 0.81451271, 0.91106870, 0.50693175],
[ -1.71954820, -0.06277732, 0.02385464, 2.65677088, 0.82161167, 0.91336804, 0.51111243],
[ -1.77809640, -0.06105001, 0.02352654, 2.71704639, 0.82804049, 0.91542346, 0.51501712],
[ -1.83403970, -0.05945081, 0.02325609, 2.77458889, 0.83391153, 0.91729309, 0.51864363],
[ -1.88744242, -0.05795502, 0.02302469, 2.82948740, 0.83931209, 0.91902029, 0.52199490],
[ -1.93837115, -0.05654418, 0.02281843, 2.88182697, 0.84431095, 0.92063739, 0.52507761],
[ -1.98689666, -0.05520447, 0.02262706, 2.93169219, 0.84896295, 0.92216847, 0.52790108],
[ -2.03309477, -0.05392545, 0.02244322, 2.97916932, 0.85331225, 0.92363132, 0.53047654],
[ -2.07704643, -0.05269926, 0.02226173, 3.02434717, 0.85739480, 0.92503902, 0.53281639],
[ -2.11883714, -0.05151988, 0.02207909, 3.06731726, 0.86124014, 0.92640103, 0.53493369],
[ -2.15855611, -0.05038274, 0.02189307, 3.10817337, 0.86487276, 0.92772419, 0.53684176],
[ -2.19629514, -0.04928430, 0.02170238, 3.14701084, 0.86831322, 0.92901331, 0.53855386],
[ -2.23214747, -0.04822179, 0.02150643, 3.18392568, 0.87157886, 0.93027178, 0.54008294],
[ -2.26620674, -0.04719301, 0.02130509, 3.21901373, 0.87468453, 0.93150190, 0.54144148],
[ -2.29856595, -0.04619619, 0.02109858, 3.25236976, 0.87764301, 0.93270523, 0.54264140],
[ -2.32931659, -0.04522983, 0.02088735, 3.28408675, 0.88046543, 0.93388282, 0.54369397],
[ -2.35854794, -0.04429270, 0.02067197, 3.31425524, 0.88316156, 0.93503533, 0.54460979],
[ -2.38634650, -0.04338368, 0.02045310, 3.34296281, 0.88574004, 0.93616321, 0.54539877],
[ -2.41279547, -0.04250179, 0.02023142, 3.37029367, 0.88820859, 0.93726678, 0.54607015],
[ -2.43797451, -0.04164613, 0.02000761, 3.39632839, 0.89057416, 0.93834626, 0.54663248],
[ -2.46195951, -0.04081583, 0.01978231, 3.42114367, 0.89284301, 0.93940185, 0.54709369],
[ -2.48482241, -0.04001011, 0.01955614, 3.44481230, 0.89502085, 0.94043375, 0.54746112],
[ -2.50663126, -0.03922817, 0.01932966, 3.46740309, 0.89711291, 0.94144217, 0.54774153],
[ -2.52745016, -0.03846928, 0.01910337, 3.48898088, 0.89912397, 0.94242735, 0.54794114],
[ -2.54733938, -0.03773269, 0.01887774, 3.50960670, 0.90105847, 0.94338957, 0.54806571],
[ -2.56635547, -0.03701769, 0.01865317, 3.52933779, 0.90292050, 0.94432915, 0.54812051],
[ -2.58455138, -0.03632358, 0.01843000, 3.54822780, 0.90471386, 0.94524642, 0.54811044],
[ -2.60197665, -0.03564968, 0.01820854, 3.56632697, 0.90644209, 0.94614178, 0.54803997],
[ -2.61867756, -0.03499532, 0.01798905, 3.58368224, 0.90810850, 0.94701563, 0.54791326],
[ -2.63469733, -0.03435985, 0.01777176, 3.60033748, 0.90971616, 0.94786840, 0.54773413],
[ -2.65007629, -0.03374263, 0.01755683, 3.61633367, 0.91126798, 0.94870054, 0.54750610],
[ -2.66485208, -0.03314303, 0.01734443, 3.63170905, 0.91276665, 0.94951253, 0.54723245],
[ -2.67905981, -0.03256047, 0.01713468, 3.64649934, 0.91421471, 0.95030485, 0.54691620],
[ -2.69273222, -0.03199435, 0.01692767, 3.66073787, 0.91561457, 0.95107798, 0.54656015],
[ -2.70589990, -0.03144411, 0.01672347, 3.67445580, 0.91696845, 0.95183242, 0.54616691],
[ -2.71859139, -0.03090919, 0.01652215, 3.68768220, 0.91827849, 0.95256866, 0.54573889],
[ -2.73083334, -0.03038907, 0.01632374, 3.70044427, 0.91954667, 0.95328719, 0.54527835],
[ -2.74265068, -0.02988323, 0.01612826, 3.71276745, 0.92077487, 0.95398851, 0.54478739],
[ -2.75406669, -0.02939118, 0.01593573, 3.72467551, 0.92196486, 0.95467309, 0.54426797],
[ -2.76510320, -0.02891245, 0.01574615, 3.73619076, 0.92311833, 0.95534141, 0.54372191],
[ -2.77578063, -0.02844656, 0.01555950, 3.74733406, 0.92423685, 0.95599393, 0.54315095],
[ -2.78611812, -0.02799309, 0.01537578, 3.75812503, 0.92532192, 0.95663113, 0.54255669],
[ -2.79613364, -0.02755161, 0.01519496, 3.76858203, 0.92637496, 0.95725343, 0.54194065],
[ -2.80584405, -0.02712170, 0.01501701, 3.77872235, 0.92739730, 0.95786128, 0.54130424],
[ -2.81526521, -0.02670298, 0.01484191, 3.78856223, 0.92839022, 0.95845511, 0.54064880],
[ -2.82441204, -0.02629506, 0.01466961, 3.79811697, 0.92935491, 0.95903532, 0.53997561],
[ -2.83329857, -0.02589759, 0.01450009, 3.80740098, 0.93029251, 0.95960232, 0.53928586],
[ -2.84193804, -0.02551021, 0.01433329, 3.81642782, 0.93120412, 0.96015649, 0.53858067],
[ -2.85034293, -0.02513260, 0.01416919, 3.82521033, 0.93209074, 0.96069821, 0.53786112],
[ -2.85852503, -0.02476443, 0.01400773, 3.83376061, 0.93295337, 0.96122784, 0.53712821],
[ -2.86649548, -0.02440538, 0.01384888, 3.84209010, 0.93379291, 0.96174574, 0.53638291],
[ -2.87426481, -0.02405518, 0.01369258, 3.85020963, 0.93461026, 0.96225224, 0.53562612],
[ -2.88184299, -0.02371352, 0.01353880, 3.85812947, 0.93540625, 0.96274768, 0.53485873],
[ -2.88923945, -0.02338014, 0.01338749, 3.86585931, 0.93618168, 0.96323236, 0.53408154],
[ -2.89646316, -0.02305478, 0.01323861, 3.87340838, 0.93693730, 0.96370661, 0.53329534],
[ -2.90352261, -0.02273718, 0.01309211, 3.88078542, 0.93767383, 0.96417071, 0.53250089],
[ -2.91042585, -0.02242710, 0.01294795, 3.88799874, 0.93839197, 0.96462494, 0.53169888],
[ -2.91718054, -0.02212431, 0.01280609, 3.89505623, 0.93909236, 0.96506960, 0.53089002],
[ -2.92379397, -0.02182859, 0.01266648, 3.90196538, 0.93977564, 0.96550493, 0.53007493],
[ -2.93027306, -0.02153971, 0.01252908, 3.90873334, 0.94044240, 0.96593120, 0.52925424],
[ -2.93662439, -0.02125748, 0.01239386, 3.91536691, 0.94109322, 0.96634866, 0.52842854],
[ -2.94285425, -0.02098169, 0.01226077, 3.92187256, 0.94172863, 0.96675754, 0.52759839],
[ -2.94896860, -0.02071215, 0.01212977, 3.92825645, 0.94234915, 0.96715808, 0.52676434],
[ -2.95497314, -0.02044868, 0.01200082, 3.93452446, 0.94295529, 0.96755050, 0.52592690],
[ -2.96087331, -0.02019110, 0.01187388, 3.94068220, 0.94354752, 0.96793501, 0.52508656],
[ -2.96667427, -0.01993924, 0.01174893, 3.94673503, 0.94412630, 0.96831183, 0.52424380],
[ -2.97238097, -0.01969293, 0.01162591, 3.95268804, 0.94469206, 0.96868116, 0.52339906],
[ -2.97799813, -0.01945201, 0.01150481, 3.95854612, 0.94524521, 0.96904318, 0.52255277],
[ -2.98353025, -0.01921634, 0.01138557, 3.96431391, 0.94578617, 0.96939809, 0.52170535],
[ -2.98898162, -0.01898576, 0.01126817, 3.96999586, 0.94631531, 0.96974607, 0.52085719],
[ -2.99435636, -0.01876014, 0.01115257, 3.97559622, 0.94683300, 0.97008729, 0.52000868],
[ -2.99965838, -0.01853932, 0.01103875, 3.98111905, 0.94733959, 0.97042193, 0.51916016],
[ -3.00489143, -0.01832319, 0.01092666, 3.98656824, 0.94783543, 0.97075015, 0.51831198],
[ -3.01005909, -0.01811161, 0.01081628, 3.99194748, 0.94832084, 0.97107211, 0.51746448],
[ -3.01516479, -0.01790446, 0.01070757, 3.99726033, 0.94879613, 0.97138796, 0.51661796],
[ -3.02021180, -0.01770162, 0.01060052, 4.00251017, 0.94926160, 0.97169786, 0.51577273],
[ -3.02520323, -0.01750298, 0.01049508, 4.00770025, 0.94971755, 0.97200194, 0.51492908],
[ -3.03014209, -0.01730842, 0.01039123, 4.01283367, 0.95016424, 0.97230035, 0.51408727],
[ -3.03503122, -0.01711783, 0.01028894, 4.01791339, 0.95060195, 0.97259323, 0.51324758],
[ -3.03987336, -0.01693111, 0.01018819, 4.02294225, 0.95103094, 0.97288070, 0.51241024],
[ -3.04467112, -0.01674816, 0.01008894, 4.02792295, 0.95145145, 0.97316290, 0.51157550],
[ -3.04942699, -0.01656889, 0.00999117, 4.03285810, 0.95186373, 0.97343995, 0.51074358],
[ -3.05414335, -0.01639319, 0.00989485, 4.03775017, 0.95226799, 0.97371196, 0.50991471],
[ -3.05882250, -0.01622097, 0.00979997, 4.04260153, 0.95266447, 0.97397906, 0.50908908],
[ -3.06346660, -0.01605215, 0.00970649, 4.04741445, 0.95305338, 0.97424136, 0.50826689],
[ -3.06807773, -0.01588664, 0.00961439, 4.05219109, 0.95343492, 0.97449897, 0.50744832],
[ -3.07265789, -0.01572436, 0.00952364, 4.05693353, 0.95380929, 0.97475200, 0.50663356],
[ -3.07720897, -0.01556522, 0.00943423, 4.06164375, 0.95417670, 0.97500055, 0.50582277],
[ -3.08173279, -0.01540916, 0.00934613, 4.06632364, 0.95453731, 0.97524472, 0.50501611],
[ -3.08623109, -0.01525608, 0.00925931, 4.07097501, 0.95489131, 0.97548461, 0.50421372],
[ -3.09070551, -0.01510592, 0.00917376, 4.07559959, 0.95523888, 0.97572032, 0.50341576],
[ -3.09515765, -0.01495861, 0.00908946, 4.08019904, 0.95558018, 0.97595193, 0.50262236],
[ -3.09958899, -0.01481408, 0.00900637, 4.08477492, 0.95591537, 0.97617955, 0.50183364],
[ -3.10400100, -0.01467225, 0.00892449, 4.08932875, 0.95624461, 0.97640325, 0.50104973],
[ -3.10839504, -0.01453308, 0.00884379, 4.09386196, 0.95656806, 0.97662313, 0.50027073],
[ -3.11277241, -0.01439648, 0.00876425, 4.09837593, 0.95688585, 0.97683927, 0.49949676],
[ -3.11713438, -0.01426240, 0.00868586, 4.10287198, 0.95719812, 0.97705174, 0.49872791],
[ -3.12148213, -0.01413079, 0.00860858, 4.10735134, 0.95750503, 0.97726063, 0.49796429],
[ -3.12581680, -0.01400157, 0.00853241, 4.11181522, 0.95780669, 0.97746601, 0.49720597],
[ -3.13013947, -0.01387471, 0.00845733, 4.11626476, 0.95810324, 0.97766796, 0.49645304],
[ -3.13445117, -0.01375013, 0.00838331, 4.12070104, 0.95839480, 0.97786656, 0.49570558],
[ -3.13875289, -0.01362779, 0.00831034, 4.12512510, 0.95868150, 0.97806186, 0.49496366],
[ -3.14304556, -0.01350764, 0.00823841, 4.12953792, 0.95896344, 0.97825395, 0.49422734],
[ -3.14733008, -0.01338963, 0.00816748, 4.13394045, 0.95924075, 0.97844289, 0.49349669],
[ -3.15160728, -0.01327370, 0.00809756, 4.13833358, 0.95951352, 0.97862874, 0.49277177],
[ -3.15587797, -0.01315981, 0.00802862, 4.14271816, 0.95978188, 0.97881157, 0.49205262],
[ -3.16014293, -0.01304792, 0.00796064, 4.14709501, 0.96004592, 0.97899144, 0.49133930],
[ -3.16440288, -0.01293797, 0.00789361, 4.15146491, 0.96030574, 0.97916842, 0.49063185],
[ -3.16865852, -0.01282993, 0.00782751, 4.15582858, 0.96056144, 0.97934256, 0.48993030],
[ -3.17291049, -0.01272375, 0.00776233, 4.16018673, 0.96081312, 0.97951392, 0.48923471],
[ -3.17715942, -0.01261940, 0.00769805, 4.16454003, 0.96106086, 0.97968255, 0.48854509],
[ -3.18140591, -0.01251682, 0.00763466, 4.16888910, 0.96130476, 0.97984852, 0.48786148],
[ -3.18565052, -0.01241598, 0.00757215, 4.17323454, 0.96154490, 0.98001187, 0.48718390],
[ -3.18989378, -0.01231685, 0.00751049, 4.17757693, 0.96178137, 0.98017266, 0.48651237],
[ -3.19413619, -0.01221938, 0.00744968, 4.18191681, 0.96201424, 0.98033094, 0.48584692],
[ -3.19837823, -0.01212354, 0.00738970, 4.18625469, 0.96224360, 0.98048676, 0.48518756],
[ -3.20262035, -0.01202930, 0.00733053, 4.19059105, 0.96246952, 0.98064017, 0.48453431],
[ -3.20686298, -0.01193661, 0.00727217, 4.19492637, 0.96269208, 0.98079121, 0.48388717],
[ -3.21110653, -0.01184546, 0.00721461, 4.19926107, 0.96291135, 0.98093994, 0.48324615],
[ -3.21535137, -0.01175579, 0.00715782, 4.20359557, 0.96312741, 0.98108639, 0.48261126],
[ -3.21959786, -0.01166759, 0.00710179, 4.20793027, 0.96334031, 0.98123062, 0.48198250],
[ -3.22384634, -0.01158082, 0.00704652, 4.21226552, 0.96355014, 0.98137266, 0.48135988],
[ -3.22809714, -0.01149545, 0.00699199, 4.21660169, 0.96375694, 0.98151256, 0.48074338],
[ -3.23235055, -0.01141146, 0.00693819, 4.22093909, 0.96396080, 0.98165035, 0.48013301],
[ -3.23660685, -0.01132880, 0.00688511, 4.22527805, 0.96416176, 0.98178609, 0.47952876],
[ -3.24086631, -0.01124746, 0.00683273, 4.22961885, 0.96435989, 0.98191980, 0.47893063],
[ -3.24512918, -0.01116741, 0.00678105, 4.23396177, 0.96455525, 0.98205153, 0.47833860],
[ -3.24939569, -0.01108862, 0.00673005, 4.23830707, 0.96474789, 0.98218132, 0.47775267],
[ -3.25366606, -0.01101107, 0.00667973, 4.24265499, 0.96493787, 0.98230920, 0.47717282],
[ -3.25794050, -0.01093473, 0.00663007, 4.24700577, 0.96512525, 0.98243520, 0.47659903],
[ -3.26221918, -0.01085957, 0.00658106, 4.25135961, 0.96531007, 0.98255937, 0.47603130],
[ -3.26650230, -0.01078557, 0.00653269, 4.25571672, 0.96549239, 0.98268174, 0.47546960],
[ -3.27079000, -0.01071272, 0.00648495, 4.26007729, 0.96567225, 0.98280233, 0.47491391],
[ -3.27508246, -0.01064097, 0.00643784, 4.26444149, 0.96584971, 0.98292119, 0.47436422],
[ -3.27937980, -0.01057032, 0.00639134, 4.26880948, 0.96602482, 0.98303834, 0.47382051],
[ -3.28368216, -0.01050074, 0.00634544, 4.27318141, 0.96619761, 0.98315382, 0.47328275],
[ -3.28798965, -0.01043222, 0.00630013, 4.27755743, 0.96636814, 0.98326765, 0.47275091],
[ -3.29230239, -0.01036472, 0.00625541, 4.28193767, 0.96653645, 0.98337988, 0.47222499],
[ -3.29662047, -0.01029823, 0.00621126, 4.28632224, 0.96670258, 0.98349051, 0.47170494],
[ -3.30094399, -0.01023273, 0.00616768, 4.29071126, 0.96686657, 0.98359960, 0.47119074],
[ -3.30527303, -0.01016819, 0.00612465, 4.29510483, 0.96702847, 0.98370715, 0.47068237],
[ -3.30960766, -0.01010461, 0.00608218, 4.29950304, 0.96718831, 0.98381321, 0.47017979],
[ -3.31394795, -0.01004197, 0.00604024, 4.30390598, 0.96734614, 0.98391779, 0.46968299],
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[ -6.27342763, -0.00030951, 0.00018959, 7.27311812, 0.99905461, 0.99950089, 0.49327208],
[ -6.27342771, -0.00030948, 0.00018957, 7.27311822, 0.99905470, 0.99950094, 0.49327205],
[ -6.27342778, -0.00030945, 0.00018956, 7.27311833, 0.99905480, 0.99950099, 0.49327194]]);
if value=='h':
series=love_numbers[:,0];
elif value=='k':
series=love_numbers[:,1];
elif value=='l':
series=love_numbers[:,2];
elif value=='gamma':
series=love_numbers[:,3];
elif value=='lambda':
series=love_numbers[:,4];
else:
raise RuntimeError(['love_numbers error message: unknow value:', value])
return series