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astronomy.js
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/**
@preserve
Astronomy library for JavaScript (browser and Node.js).
https://github.com/cosinekitty/astronomy
MIT License
Copyright (c) 2019-2025 Don Cross <[email protected]>
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
/**
* @fileoverview Astronomy calculation library for browser scripting and Node.js.
* @author Don Cross <[email protected]>
* @license MIT
*/
'use strict';
Object.defineProperty(exports, "__esModule", { value: true });
exports.GeoEmbState = exports.GeoMoonState = exports.EclipticGeoMoon = exports.GeoMoon = exports.Ecliptic = exports.ObserverGravity = exports.VectorObserver = exports.ObserverState = exports.ObserverVector = exports.Equator = exports.SunPosition = exports.Observer = exports.Horizon = exports.EclipticCoordinates = exports.HorizontalCoordinates = exports.MakeRotation = exports.RotationMatrix = exports.EquatorialCoordinates = exports.Spherical = exports.StateVector = exports.Vector = exports.SiderealTime = exports.Libration = exports.LibrationInfo = exports.CalcMoonCount = exports.e_tilt = exports.MakeTime = exports.AstroTime = exports.SetDeltaTFunction = exports.DeltaT_JplHorizons = exports.DeltaT_EspenakMeeus = exports.PlanetOrbitalPeriod = exports.DefineStar = exports.Body = exports.AngleBetween = exports.MassProduct = exports.CALLISTO_RADIUS_KM = exports.GANYMEDE_RADIUS_KM = exports.EUROPA_RADIUS_KM = exports.IO_RADIUS_KM = exports.JUPITER_MEAN_RADIUS_KM = exports.JUPITER_POLAR_RADIUS_KM = exports.JUPITER_EQUATORIAL_RADIUS_KM = exports.RAD2HOUR = exports.RAD2DEG = exports.HOUR2RAD = exports.DEG2RAD = exports.AU_PER_LY = exports.KM_PER_AU = exports.C_AUDAY = void 0;
exports.VectorFromHorizon = exports.HorizonFromVector = exports.SphereFromVector = exports.EquatorFromVector = exports.VectorFromSphere = exports.Pivot = exports.IdentityMatrix = exports.CombineRotation = exports.InverseRotation = exports.NextPlanetApsis = exports.SearchPlanetApsis = exports.NextLunarApsis = exports.SearchLunarApsis = exports.Apsis = exports.ApsisKind = exports.SearchPeakMagnitude = exports.SearchMaxElongation = exports.Elongation = exports.ElongationEvent = exports.Seasons = exports.SeasonInfo = exports.HourAngle = exports.SearchHourAngle = exports.HourAngleEvent = exports.SearchAltitude = exports.SearchRiseSet = exports.Atmosphere = exports.AtmosphereInfo = exports.NextMoonQuarter = exports.SearchMoonQuarter = exports.MoonQuarter = exports.SearchMoonPhase = exports.MoonPhase = exports.SearchRelativeLongitude = exports.Illumination = exports.IlluminationInfo = exports.EclipticLongitude = exports.AngleFromSun = exports.PairLongitude = exports.SearchSunLongitude = exports.Search = exports.HelioState = exports.BaryState = exports.GeoVector = exports.BackdatePosition = exports.CorrectLightTravel = exports.HelioDistance = exports.HelioVector = exports.JupiterMoons = exports.JupiterMoonsInfo = void 0;
exports.GravitySimulator = exports.LagrangePointFast = exports.LagrangePoint = exports.RotationAxis = exports.AxisInfo = exports.NextMoonNode = exports.SearchMoonNode = exports.NodeEventInfo = exports.NodeEventKind = exports.NextTransit = exports.SearchTransit = exports.TransitInfo = exports.NextLocalSolarEclipse = exports.SearchLocalSolarEclipse = exports.LocalSolarEclipseInfo = exports.EclipseEvent = exports.NextGlobalSolarEclipse = exports.SearchGlobalSolarEclipse = exports.NextLunarEclipse = exports.GlobalSolarEclipseInfo = exports.SearchLunarEclipse = exports.LunarEclipseInfo = exports.EclipseKind = exports.Constellation = exports.ConstellationInfo = exports.Rotation_EQD_ECT = exports.Rotation_ECT_EQD = exports.Rotation_GAL_EQJ = exports.Rotation_EQJ_GAL = exports.Rotation_HOR_ECL = exports.Rotation_ECL_HOR = exports.Rotation_ECL_EQD = exports.Rotation_EQD_ECL = exports.Rotation_EQJ_HOR = exports.Rotation_HOR_EQJ = exports.Rotation_HOR_EQD = exports.Rotation_EQD_HOR = exports.Rotation_EQD_EQJ = exports.Rotation_ECT_EQJ = exports.Rotation_EQJ_ECT = exports.Rotation_EQJ_EQD = exports.Rotation_ECL_EQJ = exports.Rotation_EQJ_ECL = exports.RotateState = exports.RotateVector = exports.InverseRefraction = exports.Refraction = void 0;
/**
* @brief The speed of light in AU/day.
*/
exports.C_AUDAY = 173.1446326846693;
/**
* @brief The number of kilometers per astronomical unit.
*/
exports.KM_PER_AU = 1.4959787069098932e+8;
/**
* @brief The number of astronomical units per light-year.
*/
exports.AU_PER_LY = 63241.07708807546;
/**
* @brief The factor to convert degrees to radians = pi/180.
*/
exports.DEG2RAD = 0.017453292519943296;
/**
* @brief The factor to convert sidereal hours to radians = pi/12.
*/
exports.HOUR2RAD = 0.2617993877991494365;
/**
* @brief The factor to convert radians to degrees = 180/pi.
*/
exports.RAD2DEG = 57.295779513082321;
/**
* @brief The factor to convert radians to sidereal hours = 12/pi.
*/
exports.RAD2HOUR = 3.819718634205488;
// Jupiter radius data are nominal values obtained from:
// https://www.iau.org/static/resolutions/IAU2015_English.pdf
// https://nssdc.gsfc.nasa.gov/planetary/factsheet/jupiterfact.html
/**
* @brief The equatorial radius of Jupiter, expressed in kilometers.
*/
exports.JUPITER_EQUATORIAL_RADIUS_KM = 71492.0;
/**
* @brief The polar radius of Jupiter, expressed in kilometers.
*/
exports.JUPITER_POLAR_RADIUS_KM = 66854.0;
/**
* @brief The volumetric mean radius of Jupiter, expressed in kilometers.
*/
exports.JUPITER_MEAN_RADIUS_KM = 69911.0;
// The radii of Jupiter's four major moons are obtained from:
// https://ssd.jpl.nasa.gov/?sat_phys_par
/**
* @brief The mean radius of Jupiter's moon Io, expressed in kilometers.
*/
exports.IO_RADIUS_KM = 1821.6;
/**
* @brief The mean radius of Jupiter's moon Europa, expressed in kilometers.
*/
exports.EUROPA_RADIUS_KM = 1560.8;
/**
* @brief The mean radius of Jupiter's moon Ganymede, expressed in kilometers.
*/
exports.GANYMEDE_RADIUS_KM = 2631.2;
/**
* @brief The mean radius of Jupiter's moon Callisto, expressed in kilometers.
*/
exports.CALLISTO_RADIUS_KM = 2410.3;
const DAYS_PER_TROPICAL_YEAR = 365.24217;
const J2000 = new Date('2000-01-01T12:00:00Z');
const PI2 = 2 * Math.PI;
const ARC = 3600 * (180 / Math.PI); // arcseconds per radian
const ASEC2RAD = 4.848136811095359935899141e-6;
const ASEC180 = 180 * 60 * 60; // arcseconds per 180 degrees (or pi radians)
const ASEC360 = 2 * ASEC180; // arcseconds per 360 degrees (or 2*pi radians)
const ANGVEL = 7.2921150e-5;
const AU_PER_PARSEC = ASEC180 / Math.PI; // exact definition of how many AU = one parsec
const SUN_MAG_1AU = -0.17 - 5 * Math.log10(AU_PER_PARSEC); // formula from JPL Horizons
const MEAN_SYNODIC_MONTH = 29.530588; // average number of days for Moon to return to the same phase
const SECONDS_PER_DAY = 24 * 3600;
const MILLIS_PER_DAY = SECONDS_PER_DAY * 1000;
const SOLAR_DAYS_PER_SIDEREAL_DAY = 0.9972695717592592;
const SUN_RADIUS_KM = 695700.0;
const SUN_RADIUS_AU = SUN_RADIUS_KM / exports.KM_PER_AU;
const EARTH_FLATTENING = 0.996647180302104;
const EARTH_FLATTENING_SQUARED = EARTH_FLATTENING * EARTH_FLATTENING;
const EARTH_EQUATORIAL_RADIUS_KM = 6378.1366;
const EARTH_EQUATORIAL_RADIUS_AU = EARTH_EQUATORIAL_RADIUS_KM / exports.KM_PER_AU;
const EARTH_POLAR_RADIUS_KM = EARTH_EQUATORIAL_RADIUS_KM * EARTH_FLATTENING;
const EARTH_MEAN_RADIUS_KM = 6371.0; /* mean radius of the Earth's geoid, without atmosphere */
const EARTH_ATMOSPHERE_KM = 88.0; /* effective atmosphere thickness for lunar eclipses */
const EARTH_ECLIPSE_RADIUS_KM = EARTH_MEAN_RADIUS_KM + EARTH_ATMOSPHERE_KM;
const MOON_EQUATORIAL_RADIUS_KM = 1738.1;
const MOON_EQUATORIAL_RADIUS_AU = (MOON_EQUATORIAL_RADIUS_KM / exports.KM_PER_AU);
const MOON_MEAN_RADIUS_KM = 1737.4;
const MOON_POLAR_RADIUS_KM = 1736.0;
const MOON_POLAR_RADIUS_AU = (MOON_POLAR_RADIUS_KM / exports.KM_PER_AU);
const REFRACTION_NEAR_HORIZON = 34 / 60; // degrees of refractive "lift" seen for objects near horizon
const EARTH_MOON_MASS_RATIO = 81.30056;
/*
Masses of the Sun and outer planets, used for:
(1) Calculating the Solar System Barycenter
(2) Integrating the movement of Pluto
https://web.archive.org/web/20120220062549/http://iau-comm4.jpl.nasa.gov/de405iom/de405iom.pdf
Page 10 in the above document describes the constants used in the DE405 ephemeris.
The following are G*M values (gravity constant * mass) in [au^3 / day^2].
This side-steps issues of not knowing the exact values of G and masses M[i];
the products GM[i] are known extremely accurately.
*/
const SUN_GM = 0.2959122082855911e-03;
const MERCURY_GM = 0.4912547451450812e-10;
const VENUS_GM = 0.7243452486162703e-09;
const EARTH_GM = 0.8887692390113509e-09;
const MARS_GM = 0.9549535105779258e-10;
const JUPITER_GM = 0.2825345909524226e-06;
const SATURN_GM = 0.8459715185680659e-07;
const URANUS_GM = 0.1292024916781969e-07;
const NEPTUNE_GM = 0.1524358900784276e-07;
const PLUTO_GM = 0.2188699765425970e-11;
const MOON_GM = EARTH_GM / EARTH_MOON_MASS_RATIO;
/**
* @brief Returns the product of mass and universal gravitational constant of a Solar System body.
*
* For problems involving the gravitational interactions of Solar System bodies,
* it is helpful to know the product GM, where G = the universal gravitational constant
* and M = the mass of the body. In practice, GM is known to a higher precision than
* either G or M alone, and thus using the product results in the most accurate results.
* This function returns the product GM in the units au^3/day^2.
* The values come from page 10 of a
* [JPL memorandum regarding the DE405/LE405 ephemeris](https://web.archive.org/web/20120220062549/http://iau-comm4.jpl.nasa.gov/de405iom/de405iom.pdf).
*
* @param {Body} body
* The body for which to find the GM product.
* Allowed to be the Sun, Moon, EMB (Earth/Moon Barycenter), or any planet.
* Any other value will cause an exception to be thrown.
*
* @returns {number}
* The mass product of the given body in au^3/day^2.
*/
function MassProduct(body) {
switch (body) {
case Body.Sun: return SUN_GM;
case Body.Mercury: return MERCURY_GM;
case Body.Venus: return VENUS_GM;
case Body.Earth: return EARTH_GM;
case Body.Moon: return MOON_GM;
case Body.EMB: return EARTH_GM + MOON_GM;
case Body.Mars: return MARS_GM;
case Body.Jupiter: return JUPITER_GM;
case Body.Saturn: return SATURN_GM;
case Body.Uranus: return URANUS_GM;
case Body.Neptune: return NEPTUNE_GM;
case Body.Pluto: return PLUTO_GM;
default:
throw `Do not know mass product for body: ${body}`;
}
}
exports.MassProduct = MassProduct;
function VerifyBoolean(b) {
if (b !== true && b !== false) {
console.trace();
throw `Value is not boolean: ${b}`;
}
return b;
}
function VerifyNumber(x) {
if (!Number.isFinite(x)) {
console.trace();
throw `Value is not a finite number: ${x}`;
}
return x;
}
function Frac(x) {
return x - Math.floor(x);
}
/**
* @brief Calculates the angle in degrees between two vectors.
*
* Given a pair of vectors, this function returns the angle in degrees
* between the two vectors in 3D space.
* The angle is measured in the plane that contains both vectors.
*
* @param {Vector} a
* The first of a pair of vectors between which to measure an angle.
*
* @param {Vector} b
* The second of a pair of vectors between which to measure an angle.
*
* @returns {number}
* The angle between the two vectors expressed in degrees.
* The value is in the range [0, 180].
*/
function AngleBetween(a, b) {
const aa = (a.x * a.x + a.y * a.y + a.z * a.z);
if (Math.abs(aa) < 1.0e-8)
throw `AngleBetween: first vector is too short.`;
const bb = (b.x * b.x + b.y * b.y + b.z * b.z);
if (Math.abs(bb) < 1.0e-8)
throw `AngleBetween: second vector is too short.`;
const dot = (a.x * b.x + a.y * b.y + a.z * b.z) / Math.sqrt(aa * bb);
if (dot <= -1.0)
return 180;
if (dot >= +1.0)
return 0;
return exports.RAD2DEG * Math.acos(dot);
}
exports.AngleBetween = AngleBetween;
/**
* @brief String constants that represent the solar system bodies supported by Astronomy Engine.
*
* The following strings represent solar system bodies supported by various Astronomy Engine functions.
* Not every body is supported by every function; consult the documentation for each function
* to find which bodies it supports.
*
* "Sun", "Moon", "Mercury", "Venus", "Earth", "Mars", "Jupiter",
* "Saturn", "Uranus", "Neptune", "Pluto",
* "SSB" (Solar System Barycenter),
* "EMB" (Earth/Moon Barycenter)
*
* You can also use enumeration syntax for the bodies, like
* `Astronomy.Body.Moon`, `Astronomy.Body.Jupiter`, etc.
*
* @enum {string}
*/
var Body;
(function (Body) {
Body["Sun"] = "Sun";
Body["Moon"] = "Moon";
Body["Mercury"] = "Mercury";
Body["Venus"] = "Venus";
Body["Earth"] = "Earth";
Body["Mars"] = "Mars";
Body["Jupiter"] = "Jupiter";
Body["Saturn"] = "Saturn";
Body["Uranus"] = "Uranus";
Body["Neptune"] = "Neptune";
Body["Pluto"] = "Pluto";
Body["SSB"] = "SSB";
Body["EMB"] = "EMB";
// User-defined fixed locations in the sky...
Body["Star1"] = "Star1";
Body["Star2"] = "Star2";
Body["Star3"] = "Star3";
Body["Star4"] = "Star4";
Body["Star5"] = "Star5";
Body["Star6"] = "Star6";
Body["Star7"] = "Star7";
Body["Star8"] = "Star8";
})(Body = exports.Body || (exports.Body = {}));
const StarList = [
Body.Star1, Body.Star2, Body.Star3, Body.Star4,
Body.Star5, Body.Star6, Body.Star7, Body.Star8
];
;
const StarTable = [
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
{ ra: 0, dec: 0, dist: 0 },
];
function GetStar(body) {
const index = StarList.indexOf(body);
return (index >= 0) ? StarTable[index] : null;
}
function UserDefinedStar(body) {
const star = GetStar(body);
return (star && star.dist > 0) ? star : null;
}
/**
* @brief Assign equatorial coordinates to a user-defined star.
*
* Some Astronomy Engine functions allow their `body` parameter to
* be a user-defined fixed point in the sky, loosely called a "star".
* This function assigns a right ascension, declination, and distance
* to one of the eight user-defined stars `Star1`..`Star8`.
*
* Stars are not valid until defined. Once defined, they retain their
* definition until re-defined by another call to `DefineStar`.
*
* @param {Body} body
* One of the eight user-defined star identifiers:
* `Star1`, `Star2`, `Star3`, `Star4`, `Star5`, `Star6`, `Star7`, or `Star8`.
*
* @param {number} ra
* The right ascension to be assigned to the star, expressed in J2000 equatorial coordinates (EQJ).
* The value is in units of sidereal hours, and must be within the half-open range [0, 24).
*
* @param {number} dec
* The declination to be assigned to the star, expressed in J2000 equatorial coordinates (EQJ).
* The value is in units of degrees north (positive) or south (negative) of the J2000 equator,
* and must be within the closed range [-90, +90].
*
* @param {number} distanceLightYears
* The distance between the star and the Sun, expressed in light-years.
* This value is used to calculate the tiny parallax shift as seen by an observer on Earth.
* If you don't know the distance to the star, using a large value like 1000 will generally work well.
* The minimum allowed distance is 1 light-year, which is required to provide certain internal optimizations.
*/
function DefineStar(body, ra, dec, distanceLightYears) {
const star = GetStar(body);
if (!star)
throw `Invalid star body: ${body}`;
VerifyNumber(ra);
VerifyNumber(dec);
VerifyNumber(distanceLightYears);
if (ra < 0 || ra >= 24)
throw `Invalid right ascension for star: ${ra}`;
if (dec < -90 || dec > +90)
throw `Invalid declination for star: ${dec}`;
if (distanceLightYears < 1)
throw `Invalid star distance: ${distanceLightYears}`;
star.ra = ra;
star.dec = dec;
star.dist = distanceLightYears * exports.AU_PER_LY;
}
exports.DefineStar = DefineStar;
var PrecessDirection;
(function (PrecessDirection) {
PrecessDirection[PrecessDirection["From2000"] = 0] = "From2000";
PrecessDirection[PrecessDirection["Into2000"] = 1] = "Into2000";
})(PrecessDirection || (PrecessDirection = {}));
const Planet = {
Mercury: { OrbitalPeriod: 87.969 },
Venus: { OrbitalPeriod: 224.701 },
Earth: { OrbitalPeriod: 365.256 },
Mars: { OrbitalPeriod: 686.980 },
Jupiter: { OrbitalPeriod: 4332.589 },
Saturn: { OrbitalPeriod: 10759.22 },
Uranus: { OrbitalPeriod: 30685.4 },
Neptune: { OrbitalPeriod: 60189.0 },
Pluto: { OrbitalPeriod: 90560.0 }
};
/**
* @brief Returns the mean orbital period of a planet in days.
*
* @param {Body} body
* One of: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, or Pluto.
*
* @returns {number}
* The approximate average time it takes for the planet to travel once around the Sun.
* The value is expressed in days.
*/
function PlanetOrbitalPeriod(body) {
if (body in Planet)
return Planet[body].OrbitalPeriod;
throw `Unknown orbital period for: ${body}`;
}
exports.PlanetOrbitalPeriod = PlanetOrbitalPeriod;
const vsop = {
Mercury: [
[
[
[4.40250710144, 0.00000000000, 0.00000000000],
[0.40989414977, 1.48302034195, 26087.90314157420],
[0.05046294200, 4.47785489551, 52175.80628314840],
[0.00855346844, 1.16520322459, 78263.70942472259],
[0.00165590362, 4.11969163423, 104351.61256629678],
[0.00034561897, 0.77930768443, 130439.51570787099],
[0.00007583476, 3.71348404924, 156527.41884944518]
],
[
[26087.90313685529, 0.00000000000, 0.00000000000],
[0.01131199811, 6.21874197797, 26087.90314157420],
[0.00292242298, 3.04449355541, 52175.80628314840],
[0.00075775081, 6.08568821653, 78263.70942472259],
[0.00019676525, 2.80965111777, 104351.61256629678]
]
],
[
[
[0.11737528961, 1.98357498767, 26087.90314157420],
[0.02388076996, 5.03738959686, 52175.80628314840],
[0.01222839532, 3.14159265359, 0.00000000000],
[0.00543251810, 1.79644363964, 78263.70942472259],
[0.00129778770, 4.83232503958, 104351.61256629678],
[0.00031866927, 1.58088495658, 130439.51570787099],
[0.00007963301, 4.60972126127, 156527.41884944518]
],
[
[0.00274646065, 3.95008450011, 26087.90314157420],
[0.00099737713, 3.14159265359, 0.00000000000]
]
],
[
[
[0.39528271651, 0.00000000000, 0.00000000000],
[0.07834131818, 6.19233722598, 26087.90314157420],
[0.00795525558, 2.95989690104, 52175.80628314840],
[0.00121281764, 6.01064153797, 78263.70942472259],
[0.00021921969, 2.77820093972, 104351.61256629678],
[0.00004354065, 5.82894543774, 130439.51570787099]
],
[
[0.00217347740, 4.65617158665, 26087.90314157420],
[0.00044141826, 1.42385544001, 52175.80628314840]
]
]
],
Venus: [
[
[
[3.17614666774, 0.00000000000, 0.00000000000],
[0.01353968419, 5.59313319619, 10213.28554621100],
[0.00089891645, 5.30650047764, 20426.57109242200],
[0.00005477194, 4.41630661466, 7860.41939243920],
[0.00003455741, 2.69964447820, 11790.62908865880],
[0.00002372061, 2.99377542079, 3930.20969621960],
[0.00001317168, 5.18668228402, 26.29831979980],
[0.00001664146, 4.25018630147, 1577.34354244780],
[0.00001438387, 4.15745084182, 9683.59458111640],
[0.00001200521, 6.15357116043, 30639.85663863300]
],
[
[10213.28554621638, 0.00000000000, 0.00000000000],
[0.00095617813, 2.46406511110, 10213.28554621100],
[0.00007787201, 0.62478482220, 20426.57109242200]
]
],
[
[
[0.05923638472, 0.26702775812, 10213.28554621100],
[0.00040107978, 1.14737178112, 20426.57109242200],
[0.00032814918, 3.14159265359, 0.00000000000]
],
[
[0.00287821243, 1.88964962838, 10213.28554621100]
]
],
[
[
[0.72334820891, 0.00000000000, 0.00000000000],
[0.00489824182, 4.02151831717, 10213.28554621100],
[0.00001658058, 4.90206728031, 20426.57109242200],
[0.00001378043, 1.12846591367, 11790.62908865880],
[0.00001632096, 2.84548795207, 7860.41939243920],
[0.00000498395, 2.58682193892, 9683.59458111640],
[0.00000221985, 2.01346696541, 19367.18916223280],
[0.00000237454, 2.55136053886, 15720.83878487840]
],
[
[0.00034551041, 0.89198706276, 10213.28554621100]
]
]
],
Earth: [
[
[
[1.75347045673, 0.00000000000, 0.00000000000],
[0.03341656453, 4.66925680415, 6283.07584999140],
[0.00034894275, 4.62610242189, 12566.15169998280],
[0.00003417572, 2.82886579754, 3.52311834900],
[0.00003497056, 2.74411783405, 5753.38488489680],
[0.00003135899, 3.62767041756, 77713.77146812050],
[0.00002676218, 4.41808345438, 7860.41939243920],
[0.00002342691, 6.13516214446, 3930.20969621960],
[0.00001273165, 2.03709657878, 529.69096509460],
[0.00001324294, 0.74246341673, 11506.76976979360],
[0.00000901854, 2.04505446477, 26.29831979980],
[0.00001199167, 1.10962946234, 1577.34354244780],
[0.00000857223, 3.50849152283, 398.14900340820],
[0.00000779786, 1.17882681962, 5223.69391980220],
[0.00000990250, 5.23268072088, 5884.92684658320],
[0.00000753141, 2.53339052847, 5507.55323866740],
[0.00000505267, 4.58292599973, 18849.22754997420],
[0.00000492392, 4.20505711826, 775.52261132400],
[0.00000356672, 2.91954114478, 0.06731030280],
[0.00000284125, 1.89869240932, 796.29800681640],
[0.00000242879, 0.34481445893, 5486.77784317500],
[0.00000317087, 5.84901948512, 11790.62908865880],
[0.00000271112, 0.31486255375, 10977.07880469900],
[0.00000206217, 4.80646631478, 2544.31441988340],
[0.00000205478, 1.86953770281, 5573.14280143310],
[0.00000202318, 2.45767790232, 6069.77675455340],
[0.00000126225, 1.08295459501, 20.77539549240],
[0.00000155516, 0.83306084617, 213.29909543800]
],
[
[6283.07584999140, 0.00000000000, 0.00000000000],
[0.00206058863, 2.67823455808, 6283.07584999140],
[0.00004303419, 2.63512233481, 12566.15169998280]
],
[
[0.00008721859, 1.07253635559, 6283.07584999140]
]
],
[
[],
[
[0.00227777722, 3.41376620530, 6283.07584999140],
[0.00003805678, 3.37063423795, 12566.15169998280]
]
],
[
[
[1.00013988784, 0.00000000000, 0.00000000000],
[0.01670699632, 3.09846350258, 6283.07584999140],
[0.00013956024, 3.05524609456, 12566.15169998280],
[0.00003083720, 5.19846674381, 77713.77146812050],
[0.00001628463, 1.17387558054, 5753.38488489680],
[0.00001575572, 2.84685214877, 7860.41939243920],
[0.00000924799, 5.45292236722, 11506.76976979360],
[0.00000542439, 4.56409151453, 3930.20969621960],
[0.00000472110, 3.66100022149, 5884.92684658320],
[0.00000085831, 1.27079125277, 161000.68573767410],
[0.00000057056, 2.01374292245, 83996.84731811189],
[0.00000055736, 5.24159799170, 71430.69561812909],
[0.00000174844, 3.01193636733, 18849.22754997420],
[0.00000243181, 4.27349530790, 11790.62908865880]
],
[
[0.00103018607, 1.10748968172, 6283.07584999140],
[0.00001721238, 1.06442300386, 12566.15169998280]
],
[
[0.00004359385, 5.78455133808, 6283.07584999140]
]
]
],
Mars: [
[
[
[6.20347711581, 0.00000000000, 0.00000000000],
[0.18656368093, 5.05037100270, 3340.61242669980],
[0.01108216816, 5.40099836344, 6681.22485339960],
[0.00091798406, 5.75478744667, 10021.83728009940],
[0.00027744987, 5.97049513147, 3.52311834900],
[0.00010610235, 2.93958560338, 2281.23049651060],
[0.00012315897, 0.84956094002, 2810.92146160520],
[0.00008926784, 4.15697846427, 0.01725365220],
[0.00008715691, 6.11005153139, 13362.44970679920],
[0.00006797556, 0.36462229657, 398.14900340820],
[0.00007774872, 3.33968761376, 5621.84292321040],
[0.00003575078, 1.66186505710, 2544.31441988340],
[0.00004161108, 0.22814971327, 2942.46342329160],
[0.00003075252, 0.85696614132, 191.44826611160],
[0.00002628117, 0.64806124465, 3337.08930835080],
[0.00002937546, 6.07893711402, 0.06731030280],
[0.00002389414, 5.03896442664, 796.29800681640],
[0.00002579844, 0.02996736156, 3344.13554504880],
[0.00001528141, 1.14979301996, 6151.53388830500],
[0.00001798806, 0.65634057445, 529.69096509460],
[0.00001264357, 3.62275122593, 5092.15195811580],
[0.00001286228, 3.06796065034, 2146.16541647520],
[0.00001546404, 2.91579701718, 1751.53953141600],
[0.00001024902, 3.69334099279, 8962.45534991020],
[0.00000891566, 0.18293837498, 16703.06213349900],
[0.00000858759, 2.40093811940, 2914.01423582380],
[0.00000832715, 2.46418619474, 3340.59517304760],
[0.00000832720, 4.49495782139, 3340.62968035200],
[0.00000712902, 3.66335473479, 1059.38193018920],
[0.00000748723, 3.82248614017, 155.42039943420],
[0.00000723861, 0.67497311481, 3738.76143010800],
[0.00000635548, 2.92182225127, 8432.76438481560],
[0.00000655162, 0.48864064125, 3127.31333126180],
[0.00000550474, 3.81001042328, 0.98032106820],
[0.00000552750, 4.47479317037, 1748.01641306700],
[0.00000425966, 0.55364317304, 6283.07584999140],
[0.00000415131, 0.49662285038, 213.29909543800],
[0.00000472167, 3.62547124025, 1194.44701022460],
[0.00000306551, 0.38052848348, 6684.74797174860],
[0.00000312141, 0.99853944405, 6677.70173505060],
[0.00000293198, 4.22131299634, 20.77539549240],
[0.00000302375, 4.48618007156, 3532.06069281140],
[0.00000274027, 0.54222167059, 3340.54511639700],
[0.00000281079, 5.88163521788, 1349.86740965880],
[0.00000231183, 1.28242156993, 3870.30339179440],
[0.00000283602, 5.76885434940, 3149.16416058820],
[0.00000236117, 5.75503217933, 3333.49887969900],
[0.00000274033, 0.13372524985, 3340.67973700260],
[0.00000299395, 2.78323740866, 6254.62666252360]
],
[
[3340.61242700512, 0.00000000000, 0.00000000000],
[0.01457554523, 3.60433733236, 3340.61242669980],
[0.00168414711, 3.92318567804, 6681.22485339960],
[0.00020622975, 4.26108844583, 10021.83728009940],
[0.00003452392, 4.73210393190, 3.52311834900],
[0.00002586332, 4.60670058555, 13362.44970679920],
[0.00000841535, 4.45864030426, 2281.23049651060]
],
[
[0.00058152577, 2.04961712429, 3340.61242669980],
[0.00013459579, 2.45738706163, 6681.22485339960]
]
],
[
[
[0.03197134986, 3.76832042431, 3340.61242669980],
[0.00298033234, 4.10616996305, 6681.22485339960],
[0.00289104742, 0.00000000000, 0.00000000000],
[0.00031365539, 4.44651053090, 10021.83728009940],
[0.00003484100, 4.78812549260, 13362.44970679920]
],
[
[0.00217310991, 6.04472194776, 3340.61242669980],
[0.00020976948, 3.14159265359, 0.00000000000],
[0.00012834709, 1.60810667915, 6681.22485339960]
]
],
[
[
[1.53033488271, 0.00000000000, 0.00000000000],
[0.14184953160, 3.47971283528, 3340.61242669980],
[0.00660776362, 3.81783443019, 6681.22485339960],
[0.00046179117, 4.15595316782, 10021.83728009940],
[0.00008109733, 5.55958416318, 2810.92146160520],
[0.00007485318, 1.77239078402, 5621.84292321040],
[0.00005523191, 1.36436303770, 2281.23049651060],
[0.00003825160, 4.49407183687, 13362.44970679920],
[0.00002306537, 0.09081579001, 2544.31441988340],
[0.00001999396, 5.36059617709, 3337.08930835080],
[0.00002484394, 4.92545639920, 2942.46342329160],
[0.00001960195, 4.74249437639, 3344.13554504880],
[0.00001167119, 2.11260868341, 5092.15195811580],
[0.00001102816, 5.00908403998, 398.14900340820],
[0.00000899066, 4.40791133207, 529.69096509460],
[0.00000992252, 5.83861961952, 6151.53388830500],
[0.00000807354, 2.10217065501, 1059.38193018920],
[0.00000797915, 3.44839203899, 796.29800681640],
[0.00000740975, 1.49906336885, 2146.16541647520]
],
[
[0.01107433345, 2.03250524857, 3340.61242669980],
[0.00103175887, 2.37071847807, 6681.22485339960],
[0.00012877200, 0.00000000000, 0.00000000000],
[0.00010815880, 2.70888095665, 10021.83728009940]
],
[
[0.00044242249, 0.47930604954, 3340.61242669980],
[0.00008138042, 0.86998389204, 6681.22485339960]
]
]
],
Jupiter: [
[
[
[0.59954691494, 0.00000000000, 0.00000000000],
[0.09695898719, 5.06191793158, 529.69096509460],
[0.00573610142, 1.44406205629, 7.11354700080],
[0.00306389205, 5.41734730184, 1059.38193018920],
[0.00097178296, 4.14264726552, 632.78373931320],
[0.00072903078, 3.64042916389, 522.57741809380],
[0.00064263975, 3.41145165351, 103.09277421860],
[0.00039806064, 2.29376740788, 419.48464387520],
[0.00038857767, 1.27231755835, 316.39186965660],
[0.00027964629, 1.78454591820, 536.80451209540],
[0.00013589730, 5.77481040790, 1589.07289528380],
[0.00008246349, 3.58227925840, 206.18554843720],
[0.00008768704, 3.63000308199, 949.17560896980],
[0.00007368042, 5.08101194270, 735.87651353180],
[0.00006263150, 0.02497628807, 213.29909543800],
[0.00006114062, 4.51319998626, 1162.47470440780],
[0.00004905396, 1.32084470588, 110.20632121940],
[0.00005305285, 1.30671216791, 14.22709400160],
[0.00005305441, 4.18625634012, 1052.26838318840],
[0.00004647248, 4.69958103684, 3.93215326310],
[0.00003045023, 4.31676431084, 426.59819087600],
[0.00002609999, 1.56667394063, 846.08283475120],
[0.00002028191, 1.06376530715, 3.18139373770],
[0.00001764763, 2.14148655117, 1066.49547719000],
[0.00001722972, 3.88036268267, 1265.56747862640],
[0.00001920945, 0.97168196472, 639.89728631400],
[0.00001633223, 3.58201833555, 515.46387109300],
[0.00001431999, 4.29685556046, 625.67019231240],
[0.00000973272, 4.09764549134, 95.97922721780]
],
[
[529.69096508814, 0.00000000000, 0.00000000000],
[0.00489503243, 4.22082939470, 529.69096509460],
[0.00228917222, 6.02646855621, 7.11354700080],
[0.00030099479, 4.54540782858, 1059.38193018920],
[0.00020720920, 5.45943156902, 522.57741809380],
[0.00012103653, 0.16994816098, 536.80451209540],
[0.00006067987, 4.42422292017, 103.09277421860],
[0.00005433968, 3.98480737746, 419.48464387520],
[0.00004237744, 5.89008707199, 14.22709400160]
],
[
[0.00047233601, 4.32148536482, 7.11354700080],
[0.00030649436, 2.92977788700, 529.69096509460],
[0.00014837605, 3.14159265359, 0.00000000000]
]
],
[
[
[0.02268615702, 3.55852606721, 529.69096509460],
[0.00109971634, 3.90809347197, 1059.38193018920],
[0.00110090358, 0.00000000000, 0.00000000000],
[0.00008101428, 3.60509572885, 522.57741809380],
[0.00006043996, 4.25883108339, 1589.07289528380],
[0.00006437782, 0.30627119215, 536.80451209540]
],
[
[0.00078203446, 1.52377859742, 529.69096509460]
]
],
[
[
[5.20887429326, 0.00000000000, 0.00000000000],
[0.25209327119, 3.49108639871, 529.69096509460],
[0.00610599976, 3.84115365948, 1059.38193018920],
[0.00282029458, 2.57419881293, 632.78373931320],
[0.00187647346, 2.07590383214, 522.57741809380],
[0.00086792905, 0.71001145545, 419.48464387520],
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