sol_gravity_model.cfg

principia_gravity_model:NEEDS[RealSolarSystem] {
  body {
    name                    = Ariel
    gravitational_parameter = 8.346344431770477e+01 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 578.9 km
    axis_right_ascension    = 257.43 deg
    axis_declination        = -15.10 deg
    reference_angle         = 156.22 deg
    angular_frequency       = -142.8356681 deg / d
  }
  body {
    name                    = Callisto
    gravitational_parameter = 7.179289361397270e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 2410.3 km
    axis_right_ascension    = 268.72 deg
    axis_declination        = 64.83 deg
    reference_angle         = 259.51 deg
    angular_frequency       = 21.5710715 deg / d
  }
  body {
    name                    = Ceres
    gravitational_parameter = 6.26325000000000e+01 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 476.2 km
    axis_right_ascension    = 291.418 deg
    axis_declination        = 66.764 deg
    reference_angle         = 170.65 deg
    angular_frequency       = 952.1532 deg / d
  }
  body {
    name                    = Charon
    gravitational_parameter = 1.058799888601881e+02 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 605 km
    axis_right_ascension    = 132.993 deg
    axis_declination        = -6.163 deg
    reference_angle         = 122.695 deg
    angular_frequency       = 56.3625225 deg / d
  }
  body {
    name                    = Deimos
    gravitational_parameter = 9.615569648120313e-05 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 6.2 km
    axis_right_ascension    = 316.65 deg
    axis_declination        = 53.52 deg
    reference_angle         = 79.41 deg
    angular_frequency       = 285.1618970 deg / d
  }
  body {
    name                    = Dione
    gravitational_parameter = +7.311636648732e+01 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 561.4 km
    axis_right_ascension    = 40.66 deg
    axis_declination        = 83.52 deg
    reference_angle         = 357.6 deg
    angular_frequency       = 131.5349316 deg / d
  }
  body {
    name                    = Earth
    gravitational_parameter = 3.9860043543609598e+05 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 6371.0084 km
    axis_right_ascension    = 0.0 deg
    axis_declination        = 90.0 deg
    reference_angle         = 190.147 deg
    angular_frequency       = 360.9856235 deg / d
    reference_radius        = 6378.1363 km
    geopotential_row {
      degree = 2
      geopotential_column {
        order = 0
        cos   = -4.84169457320000017e-04
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 2
        cos   = 2.43937341594000001e-06
        sin   = -1.40029401183600007e-06
      }
    }
    geopotential_row {
      degree = 3
      geopotential_column {
        order = 0
        cos   = 9.57164758341160073e-07
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 2.03044663716879985e-06
        sin   = 2.48240634684780003e-07
      }
      geopotential_column {
        order = 2
        cos   = 9.04764674410020034e-07
        sin   = -6.19006624633250002e-07
      }
      geopotential_column {
        order = 3
        cos   = 7.21285255170359993e-07
        sin   = 1.41440006516499999e-06
      }
    }
    geopotential_row {
      degree = 4
      geopotential_column {
        order = 0
        cos   = 5.39981539213650051e-07
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = -5.36180813370280041e-07
        sin   = -4.73576976969069985e-07
      }
      geopotential_column {
        order = 2
        cos   = 3.50492144270309977e-07
        sin   = 6.62505165743909973e-07
      }
      geopotential_column {
        order = 3
        cos   = 9.90861031115079909e-07
        sin   = -2.00950899805819992e-07
      }
      geopotential_column {
        order = 4
        cos   = -1.88492422527550000e-07
        sin   = 3.08818578557019995e-07
      }
    }
    geopotential_row {
      degree = 5
      geopotential_column {
        order = 0
        cos   = 6.86503234583909936e-08
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = -6.29145794096780060e-08
        sin   = -9.43425986000450061e-08
      }
      geopotential_column {
        order = 2
        cos   = 6.52058603169149983e-07
        sin   = -3.23343079814290023e-07
      }
      geopotential_column {
        order = 3
        cos   = -4.51831378446440003e-07
        sin   = -2.14942367360210000e-07
      }
      geopotential_column {
        order = 4
        cos   = -2.95323409170410011e-07
        sin   = 4.98105788440480028e-08
      }
      geopotential_column {
        order = 5
        cos   = 1.74814350469419987e-07
        sin   = -6.69354677015960027e-07
      }
    }
    geopotential_row {
      degree = 6
      geopotential_column {
        order = 0
        cos   = -1.49976056108830006e-07
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = -7.59432658793970064e-08
        sin   = 2.65256832496999993e-08
      }
      geopotential_column {
        order = 2
        cos   = 4.86356031799459975e-08
        sin   = -3.73769473265599977e-07
      }
      geopotential_column {
        order = 3
        cos   = 5.72513264956520020e-08
        sin   = 8.97316540747989993e-09
      }
      geopotential_column {
        order = 4
        cos   = -8.59969374690069956e-08
        sin   = -4.71426524386750026e-07
      }
      geopotential_column {
        order = 5
        cos   = -2.67163193620480016e-07
        sin   = -5.36496038028960051e-07
      }
      geopotential_column {
        order = 6
        cos   = 9.47991071630319966e-09
        sin   = -2.37383605144139993e-07
      }
    }
    geopotential_row {
      degree = 7
      geopotential_column {
        order = 0
        cos   = 9.05008197896419944e-08
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 2.80886222624230012e-07
        sin   = 9.51597598143020050e-08
      }
      geopotential_column {
        order = 2
        cos   = 3.30395504200170022e-07
        sin   = 9.30202877283259953e-08
      }
      geopotential_column {
        order = 3
        cos   = 2.50463353960410022e-07
        sin   = -2.17097075790169993e-07
      }
      geopotential_column {
        order = 4
        cos   = -2.74986389319890019e-07
        sin   = -1.24050705271789995e-07
      }
      geopotential_column {
        order = 5
        cos   = 1.64696386645569997e-09
        sin   = 1.79309577736520012e-08
      }
      geopotential_column {
        order = 6
        cos   = -3.58798640591299989e-07
        sin   = 1.51792889627309989e-07
      }
      geopotential_column {
        order = 7
        cos   = 1.52305866820010005e-09
        sin   = 2.41030426872419992e-08
      }
    }
    geopotential_row {
      degree = 8
      geopotential_column {
        order = 0
        cos   = 4.94783269495450033e-08
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 2.31407593756789987e-08
        sin   = 5.89050009412279976e-08
      }
      geopotential_column {
        order = 2
        cos   = 8.00204517750050036e-08
        sin   = 6.53000889517850063e-08
      }
      geopotential_column {
        order = 3
        cos   = -1.93590784762000005e-08
        sin   = -8.59415929366140055e-08
      }
      geopotential_column {
        order = 4
        cos   = -2.44344587059580025e-07
        sin   = 6.98121560906999970e-08
      }
      geopotential_column {
        order = 5
        cos   = -2.57016167961510006e-08
        sin   = 8.92056356879680057e-08
      }
      geopotential_column {
        order = 6
        cos   = -6.59711004770319964e-08
        sin   = 3.08945110434960014e-07
      }
      geopotential_column {
        order = 7
        cos   = 6.72565264851940040e-08
        sin   = 7.48643536383779989e-08
      }
      geopotential_column {
        order = 8
        cos   = -1.24032568124750011e-07
        sin   = 1.20540239047350002e-07
      }
    }
    geopotential_row {
      degree = 9
      geopotential_column {
        order = 0
        cos   = 2.80227217116679991e-08
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 1.42149256326619994e-07
        sin   = 2.14156891691580000e-08
      }
      geopotential_column {
        order = 2
        cos   = 2.14118710937390008e-08
        sin   = -3.16801779462719990e-08
      }
      geopotential_column {
        order = 3
        cos   = -1.60602204494040010e-07
        sin   = -7.42501613375089945e-08
      }
      geopotential_column {
        order = 4
        cos   = -9.34925538180249989e-09
        sin   = 1.98986240143050011e-08
      }
      geopotential_column {
        order = 5
        cos   = -1.63150777860510010e-08
        sin   = -5.40436000407989985e-08
      }
      geopotential_column {
        order = 6
        cos   = 6.27841329647980065e-08
        sin   = 2.22963663580790010e-07
      }
      geopotential_column {
        order = 7
        cos   = -1.17981154517250005e-07
        sin   = -9.69206840346630002e-08
      }
      geopotential_column {
        order = 8
        cos   = 1.88132489899600004e-07
        sin   = -3.00197947194530001e-09
      }
      geopotential_column {
        order = 9
        cos   = -4.75583626999439994e-08
        sin   = 9.68768700068449984e-08
      }
    }
    geopotential_row {
      degree = 10
      geopotential_column {
        order = 0
        cos   = 5.33452750021010029e-08
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 8.37537012787880012e-08
        sin   = -1.31094381697239990e-07
      }
      geopotential_column {
        order = 2
        cos   = -9.39777815120670011e-08
        sin   = -5.12649999054280000e-08
      }
      geopotential_column {
        order = 3
        cos   = -6.99105389166959988e-09
        sin   = -1.54128159680519991e-07
      }
      geopotential_column {
        order = 4
        cos   = -8.44591589805730047e-08
        sin   = -7.90239113597569965e-08
      }
      geopotential_column {
        order = 5
        cos   = -4.92855090815649990e-08
        sin   = -5.06174312921599981e-08
      }
      geopotential_column {
        order = 6
        cos   = -3.75869594043440031e-08
        sin   = -7.97714810506240006e-08
      }
      geopotential_column {
        order = 7
        cos   = 8.25712708227779921e-09
        sin   = -3.04900092507159993e-09
      }
      geopotential_column {
        order = 8
        cos   = 4.05897575575910029e-08
        sin   = -9.17106456755129998e-08
      }
      geopotential_column {
        order = 9
        cos   = 1.25385474359059999e-07
        sin   = -3.79423583113930001e-08
      }
      geopotential_column {
        order = 10
        cos   = 1.00423277256580002e-07
        sin   = -2.38638269605139997e-08
      }
    }
  }
  body {
    name                    = Enceladus
    gravitational_parameter = +7.211454165826e+00 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 252.1 km
    axis_right_ascension    = 40.66 deg
    axis_declination        = 83.52 deg
    reference_angle         = 6.32 deg
    angular_frequency       = 262.7318996 deg / d
  }
  body {
    name                    = Eris
    gravitational_parameter = 1108 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 1163 km
    axis_right_ascension    = 0 deg
    axis_declination        = 0 deg
    reference_angle         = 0 deg
    angular_frequency       = 333 deg / d
  }
  body {
    name                    = Europa
    gravitational_parameter = 3.202738774922892e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 1560.8 km
    axis_right_ascension    = 268.08 deg
    axis_declination        = 64.51 deg
    reference_angle         = 36.022 deg
    angular_frequency       = 101.3747235 deg / d
  }
  body {
    name                    = Ganymede
    gravitational_parameter = 9.887834453334144e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 2631.2 km
    axis_right_ascension    = 268.20 deg
    axis_declination        = 64.57 deg
    reference_angle         = 44.064 deg
    angular_frequency       = 50.3176081 deg / d
  }
  body {
    name                    = Iapetus
    gravitational_parameter = +1.205120887033e+02 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 734.3 km
    axis_right_ascension    = 318.16 deg
    axis_declination        = 75.03 deg
    reference_angle         = 355.2 deg
    angular_frequency       = 4.5379572 deg / d
  }
  body {
    name                    = Io
    gravitational_parameter = 5.959916033410404e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 1821.49 km
    axis_right_ascension    = 268.05 deg
    axis_declination        = 64.50 deg
    reference_angle         = 200.39 deg
    angular_frequency       = 203.4889538 deg / d
  }
  body {
    name                    = Jupiter
    gravitational_parameter = 1.266865349218008e+08 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 69911 km
    axis_right_ascension    = 268.056595 deg
    axis_declination        = 64.495303 deg
    reference_angle         = 284.95 deg
    angular_frequency       = 870.5360000 deg / d
    reference_radius        = 71492 km
    j2                      = 1.46956199999999995e-02
  }
  body {
    name                    = Mars
    gravitational_parameter = 4.282837362069909e+04 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 3389.50 km
    axis_right_ascension    = 317.68143 deg
    axis_declination        = 52.88650 deg
    reference_angle         = 176.630 deg
    angular_frequency       = 350.89198226 deg / d
    reference_radius        = 0.3396000000000000e+04 km
    j2                      = 1.95660915940866617e-03
  }
  body {
    name                    = Mercury
    gravitational_parameter = 2.2031780000000021e+04 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 2439.7 km
    axis_right_ascension    = 281.0097 deg
    axis_declination        = 61.4143 deg
    reference_angle         = 329.5469 deg
    angular_frequency       = 6.1385025 deg / d
    reference_radius        = 2.4400000000000000e+03 km
    j2                      = 4.40443532482049831e-06
  }
  body {
    name                    = Mimas
    gravitational_parameter = +2.503524000000e+00 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 198.2 km
    axis_right_ascension    = 40.66 deg
    axis_declination        = 83.52 deg
    reference_angle         = 333.46 deg
    angular_frequency       = 381.9945550 deg / d
  }
  body {
    name                    = Miranda
    gravitational_parameter = 4.319516899232100e+00 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 235.8 km
    axis_right_ascension    = 257.43 deg
    axis_declination        = -15.08 deg
    reference_angle         = 30.70 deg
    angular_frequency       = -254.6906892 deg / d
  }
  body {
    name                    = Moon
    gravitational_parameter = 4.9028000661637961e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 1737.4 km
    axis_right_ascension    = 269.9949 deg
    axis_declination        = 66.5392 deg
    reference_angle         = 38.3213 deg
    angular_frequency       = 13.17635815 deg / d
    reference_radius        = 1738.0 km
    geopotential_row {
      degree = 2
      geopotential_column {
        order = 0
        cos   = -9.08843393474242987e-05
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 2
        cos   = 3.46730964706962977e-05
        sin   = 9.07918983437229000e-10
      }
    }
    geopotential_row {
      degree = 3
      geopotential_column {
        order = 0
        cos   = -3.19733080846103984e-06
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 2.63680066243544995e-05
        sin   = 5.45454563596142018e-06
      }
      geopotential_column {
        order = 2
        cos   = 1.41715288028556996e-05
        sin   = 4.87803657917276037e-06
      }
      geopotential_column {
        order = 3
        cos   = 1.22752083681140992e-05
        sin   = -1.77422218285902999e-06
      }
    }
    geopotential_row {
      degree = 4
      geopotential_column {
        order = 0
        cos   = 3.23478084425701002e-06
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = -6.01348318395320999e-06
        sin   = 1.66431982043555006e-06
      }
      geopotential_column {
        order = 2
        cos   = -7.11616210558463041e-06
        sin   = -6.77704715373342034e-06
      }
      geopotential_column {
        order = 3
        cos   = -1.34986984039430004e-06
        sin   = -1.34449765753812007e-05
      }
      geopotential_column {
        order = 4
        cos   = -6.00696211618408021e-06
        sin   = 3.92641303770333039e-06
      }
    }
    geopotential_row {
      degree = 5
      geopotential_column {
        order = 0
        cos   = -2.23785313567789993e-07
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = -1.01159599382823004e-06
        sin   = -4.11890785739650002e-06
      }
      geopotential_column {
        order = 2
        cos   = 4.39952358728549001e-06
        sin   = 1.05713908047236010e-06
      }
      geopotential_column {
        order = 3
        cos   = 4.66137222270332999e-07
        sin   = 8.69888197369833080e-06
      }
      geopotential_column {
        order = 4
        cos   = 2.75425414872044996e-06
        sin   = 6.76775152179037055e-08
      }
      geopotential_column {
        order = 5
        cos   = 3.11055173860014018e-06
        sin   = -2.75441116751477009e-06
      }
    }
    geopotential_row {
      degree = 6
      geopotential_column {
        order = 0
        cos   = 3.81842823264222003e-06
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 1.52825878706451992e-06
        sin   = -2.59959538857526990e-06
      }
      geopotential_column {
        order = 2
        cos   = -4.39730529189300995e-06
        sin   = -2.16769181777775018e-06
      }
      geopotential_column {
        order = 3
        cos   = -3.31750958457779001e-06
        sin   = -3.42742447132513014e-06
      }
      geopotential_column {
        order = 4
        cos   = 3.41236015409078004e-07
        sin   = -4.05805588743887987e-06
      }
      geopotential_column {
        order = 5
        cos   = 1.45441719352624993e-06
        sin   = -1.03417778567895998e-05
      }
      geopotential_column {
        order = 6
        cos   = -4.68422596748017011e-06
        sin   = 7.22985456554149996e-06
      }
    }
    geopotential_row {
      degree = 7
      geopotential_column {
        order = 0
        cos   = 5.59341366333206974e-06
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 7.47166913765195039e-06
        sin   = -1.19732690546034010e-07
      }
      geopotential_column {
        order = 2
        cos   = -6.50148395564303020e-07
        sin   = 2.41110721047320998e-06
      }
      geopotential_column {
        order = 3
        cos   = 5.99419168806805026e-07
        sin   = 2.35732740786508011e-06
      }
      geopotential_column {
        order = 4
        cos   = -8.43674177637877955e-07
        sin   = 7.56527466536584974e-07
      }
      geopotential_column {
        order = 5
        cos   = -2.06861850864985997e-07
        sin   = 1.06931436699906000e-06
      }
      geopotential_column {
        order = 6
        cos   = -1.06523323030420006e-06
        sin   = 1.10049729553216001e-06
      }
      geopotential_column {
        order = 7
        cos   = -1.82044680949560008e-06
        sin   = -1.60025922803225995e-06
      }
    }
    geopotential_row {
      degree = 8
      geopotential_column {
        order = 0
        cos   = 2.34682869960587986e-06
        sin   = 0.00000000000000000e+00
      }
      geopotential_column {
        order = 1
        cos   = 4.16835455718028029e-09
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        cos   = 1.85794790515301000e-07
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  body {
    name                    = Neptune
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    reference_instant       = JD2451545.000000000
    mean_radius             = 24622 km
    axis_right_ascension    = 299.36 deg
    axis_declination        = 43.46 deg
    reference_angle         = 253.18 deg
    angular_frequency       = 536.3128492 deg / d
    reference_radius        = 25225 km
    j2                      = 3.40843000000000005e-03
  }
  body {
    name                    = Oberon
    gravitational_parameter = 2.053234302535623e+02  km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 761.4 km
    axis_right_ascension    = 257.43 deg
    axis_declination        = -15.10 deg
    reference_angle         = 6.77 deg
    angular_frequency       = -26.7394932 deg / d
  }
  body {
    name                    = Phobos
    gravitational_parameter = 7.087546066894452e-04 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 11.08 km
    axis_right_ascension    = 317.68 deg
    axis_declination        = 52.90 deg
    reference_angle         = 35.06 deg
    angular_frequency       = 1128.8445850 deg / d
  }
  body {
    name                    = Pluto
    gravitational_parameter = 8.696138177608748e+02 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 1195 km
    axis_right_ascension    = 132.993 deg
    axis_declination        = -6.163 deg
    reference_angle         = 302.695 deg
    angular_frequency       = 56.3625225 deg / d
  }
  body {
    name                    = Rhea
    gravitational_parameter = +1.539424643535e+02 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 763.5 km
    axis_right_ascension    = 40.38 deg
    axis_declination        = 83.55 deg
    reference_angle         = 235.16 deg
    angular_frequency       = 79.6900478 deg / d
  }
  body {
    name                    = Saturn
    gravitational_parameter = 3.793120749865224e+07 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 58232 km
    axis_right_ascension    = 40.589 deg
    axis_declination        = 83.537 deg
    reference_angle         = 38.90 deg
    angular_frequency       = 810.7939024 deg / d
    reference_radius        = 60330 km
    j2                      = 1.62907099999999999e-02
  }
  body {
    name                    = Sun
    gravitational_parameter = 1.3271244004193938e+11 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 696000.0 km
    axis_right_ascension    = 286.13 deg
    axis_declination        = 63.87 deg
    reference_angle         = 84.176 deg
    angular_frequency       = 14.1844000 deg / d
    reference_radius        = 696000.0 km
    j2                      = 2.11060885327268404e-07
  }
  body {
    name                    = Tethys
    gravitational_parameter = +4.121107782641e+01 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 531.0 km
    axis_right_ascension    = 40.66 deg
    axis_declination        = 83.52 deg
    reference_angle         = 8.95 deg
    angular_frequency       = 190.6979085 deg / d
  }
  body {
    name                    = Titan
    gravitational_parameter = +8.978138376543e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 2574.73 km
    axis_right_ascension    = 39.4827 deg
    axis_declination        = 83.4279 deg
    reference_angle         = 186.5855 deg
    angular_frequency       = 22.5769768 deg / d
  }
  body {
    name                    = Titania
    gravitational_parameter = 2.269437003741248e+02 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 788.9 km
    axis_right_ascension    = 257.43 deg
    axis_declination        = -15.10 deg
    reference_angle         = 77.74 deg
    angular_frequency       = -41.3514316 deg / d
  }
  body {
    name                    = Triton
    gravitational_parameter = 1.427598140725034e+03 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 1352.6 km
    axis_right_ascension    = 299.36 deg
    axis_declination        = 41.17 deg
    reference_angle         = 296.53 deg
    angular_frequency       = -61.2572637 deg / d
  }
  body {
    name                    = Umbriel
    gravitational_parameter = 8.509338094489388e+01 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 584.7 km
    axis_right_ascension    = 257.43 deg
    axis_declination        = -15.10 deg
    reference_angle         = 108.05 deg
    angular_frequency       = -86.8688923 deg / d
  }
  body {
    name                    = Uranus
    gravitational_parameter = 5.793951322279009e+06 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 25362 km
    axis_right_ascension    = 257.311 deg
    axis_declination        = -15.175 deg
    reference_angle         = 203.81 deg
    angular_frequency       = -501.1600928 deg / d
    reference_radius        = 25559 km
    j2                      = 3.51067999999999996e-03
  }
  body {
    name                    = Venus
    gravitational_parameter = 3.2485859200000006e+05 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 6051.8 km
    axis_right_ascension    = 272.76 deg
    axis_declination        = 67.16 deg
    reference_angle         = 160.20 deg
    angular_frequency       = -1.4813688 deg / d
    reference_radius        = 6.05100000000000e+06 m
    j2                      = 4.40443532482049831e-06
  }
  body {
    name                    = Vesta
    gravitational_parameter = 0.1728824496930000e+02 km^3/s^2
    reference_instant       = JD2451545.000000000
    mean_radius             = 266 km
    axis_right_ascension    = 309.05870 deg
    axis_declination        = 42.23190 deg
    reference_angle         = 284.59521 deg
    angular_frequency       = 1617.3331279 deg / d
    reference_radius        = 0.2650000000000000e+03 km
    j2                      = 7.10608919544419154e-02
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}