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for astronomical calculations such as position of moon, sun and planets, sunrise, sunset or solar eclipses. Most of the calculations are based on Jean Meeus 'Astronomical Algorithms' book and the VSOP87 theory.","repository":{"type":"git","url":"git+ssh://git@github.com/andrmoel/astronomy-bundle-js.git"},"author":{"name":"Andreas Moeller","email":"andrmoel@gmail.com"},"license":"MIT","readme":"# Astronomy Bundle\n\nThis library provides tools and methods for astronomical calculations.\nWith this bundle it is possible to calculate the position of moon, sun and planets and several coordinate systems.\nFor a higher accuracy, several corrections, like nutation and precision, were taken into account.\nIt is also possible to calculate rise, set and culmination events for celestial objects.\nFor a detailed see the table of contents.\n\nMost of the calculations base on Jean Meeus 'Astronomical Algorithms' book and the VSOP87 theory.\n\n## Table of Contents  \n\n1. [Installation](#installation)\n2. [Angle Utils](#angle-utils)\n3. [Time of Interest](#toi)\n   1. [Create Time Of Interest](#create-time-of-interest)\n   2. [Calendar methods](#time-of-interest-calendar)\n   3. [Julian Day, Centuries and Millennia](#time-of-interest-jd)\n   4. [Greenwich and Local Sidereal Time](#time-of-interest-gmst)\n   5. [Delta T](#time-of-interest-deltat)\n4. [Location](#location)\n   1. [Distance between two locations](#location-distance)\n5. [Astronomical Objects](#astronomical-objects)\n   1. [Coordinates](#astronomical-objects-coordinates)\n6. [Earth](#earth)\n   1. [Position of the Earth](#earth-position)\n   2. [Nutation in Longitude and Obliquity](#earth-nutation)\n   3. [Obliquity of Ecliptic](#earth-obliquity-of-ecliptic)\n7. [Sun](#sun)\n   1. [Position of the Sun](#sun-position)\n   2. [Distance to Earth and Diameter](#sun-distance-diameter)\n   3. [Sunrise, Sunset and Transit](#sun-rise-set)\n8. [Moon](#moon)\n   1. [Position of the Moon](#moon-position)\n   2. [Distance to Earth and Diameter](#moon-distance-diameter)\n   3. [Moonrise, Moonset and Transit](#moon-rise-set)\n   4. [Phases](#moon-phases)\n   5. [Apparent Magnitude](#moon-magnitude)\n   6. [Physical Observation](#moon-observation)\n   7. [Libration](#moon-libration)\n   8. [Golden Handle, Lunar X and V](#moon-events)\n9. [Planets](#planets)\n   1. [Position of Planets](#planets-position)\n   2. [Distance to Earth and Diameter](#planets-distance-diameter)\n   3. [Phases](#planets-phases)\n   4. [Apparent Magnitude](#planets-magnitude)\n   5. [Physical Observation](#planets-observation)\n   5. [Conjunction](#planets-conjunction)\n10. [Stars](#stars)\n   1. [Position of Stars](#stars-position)\n11. [Solar Eclipse](#solar-eclipse)\n   1. [Solar Eclipse exists](#solar-eclipse-exists)\n   2. [Greatest Eclipse](#solar-eclipse-greatest)\n   3. [Observational Circumstances](#solar-eclipse-obs-circumstances)\n12. [Satellites](#satellites)\n   1. [Two Line Elements](#satellites-tle)\n\n## <a name=\"installation\"></a>Installation\n\nYou can install the astronomy-bundle using npm:\n```\nnpm i astronomy-bundle\n```\nor yarn:\n\n```\nyarn add astronomy-bundle\n```\n\n## <a name=\"angle-utils\"></a> Angle Utils\n\nThe angle util provides helper methods to convert an angle into different formats.\n\n**Example 1**: Convert decimal angle\n\n```javascript\nimport {angleCalc} from 'astronomy-bundle/utils';\n\nconst angleInDeg = 132.6029282;\n\nconst angleStr = angleCalc.deg2angle(angleInDeg);\nconst timeStr = angleCalc.deg2time(angleInDeg);\n```\n\nThe result of the calculation should be:\\\n*Angle: 132° 36' 10.542\"*\\\n*Time: 8h 50m 24.703s*\n\n**Example 2**: Convert time into decimal format\n\n```javascript\nimport {angleCalc} from 'astronomy-bundle/utils';\n\nconst timeStr = '8h 50m 24.703s';\n\nconst angleInDeg = angleCalc.time2deg(timeStr);\n```\n\nThe result of the calculation should be:\\\n*Angle: 132.602929°*\n\n## <a name=\"toi\"></a> Time of Interest\n\nThe TimeOfInterest (TOI) object represents the time for which all the astronomical calculations are done.\nFor that reason it is the **most important object** in this library.\n\n### <a name=\"create-time-of-interest\"></a> Create the TimeOfInterest object\n\nThere are several ways to initialize the TOI object.\n\n**Example 1**: Initialize the TimeOfInterest object for the date 02 July 2017 at 15:30:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\n\n// Create from time\nconst toi = createTimeOfInterest.fromTime(2017, 7, 2, 15, 30, 0);\n\n// Create from Date object\nconst date = new Date('2017-07-02 15:30:00');\nconst toi = createTimeOfInterest.fromDate(date);\n\n// Create from Julian Day\nconst jd = 2457937.1458333;\nconst toi = createTimeOfInterest.fromJulianDay(jd);\n\n// Create from Julian Centuries since J2000\nconst T = 0.17500741501255;\nconst toi = createTimeOfInterest.fromJulianCenturiesJ2000(T);\n```\n\nThe result will be always: *2017-07-02 15:30:00*\n\n**Example 2**: Create the TOI object for the **current date and time in UTC**\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\n\nconst toi = createTimeOfInterest.fromCurrentTime();\n```\n\n### <a name=\"time-of-interest-calendar\"></a> Calendar methods\n\nLegend for day of the week:\n\n| Value | Day of week |\n| ----- | ----------- |\n| 0     | Sunday      |\n| 1     | Monday      |\n| 2     | Tuesday     |\n| 3     | Wednesday   |\n| 4     | Thursday    |\n| 5     | Friday      |\n| 6     | Saturday    |\n\n**Example**: Get day of year, day of week and leap year for 02 July 2017 at 13:37 UTC \n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\n\nconst toi = createTimeOfInterest.fromTime(2017, 7, 2, 13, 37, 0);\n\nconst dayOfYear = toi.getDayOfYear();\nconst dayOfWeek = toi.getDayOfWeek();\nconst isLeapYear = toi.isLeapYear();\n```\n\nThe result of the calculation should be:\\\nDay of year: *183*\\\nDay of week: *0 (Sunday)*\\\nIs leap year: *false*\n\n### <a name=\"time-of-interest-jd\"></a> Julian Day, Julian Centuries and Julian Millennia\n\n**Example**: Get Julian Day, Julian Centuries and Julian Millennia for 02 July 2017 at 13:37 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\n\nconst toi = createTimeOfInterest.fromTime(2017, 7, 2, 13, 37, 0);\n\nconst jd = toi.getJulianDay();\nconst jd0 = toi.getJulianDay0();\nconst T = toi.getJulianCenturiesJ2000();\nconst t = toi.getJulianMillenniaJ2000();\n```\n\nThe result of the calculation should be:\\\nJulian Day: *2457937.0673611*\\\nJulian Day 0: *2457936.5*\\\nJulian Centuries J2000: *0.1750052666*\\\nJulian Millennia J2000: *0.0175005267*\n\n### <a name=\"time-of-interest-gmst\"></a> Greenwich Sidereal Time and Local Sidereal Time\n\n**Example 1**: Get Greenwich Sidereal Time for 02 July 2017 at 13:37 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\n\nconst toi = createTimeOfInterest.fromTime(2017, 7, 2, 13, 37, 0);\n\nconst GMST = toi.getGreenwichMeanSiderealTime();\nconst GAST = toi.getGreenwichApparentSiderealTime();\n\n// To express the angle in time format use angleCalc.deg2time(GMST)\n```\n\nThe result of the calculation should be:\\\nGMST: *5h 44m 46.48s*\\\nGAST: *5h 44m 45.47s*\n\n**Example 2**: Get Local Sidereal Time for 02 July 2017 at 13:37 UTC in Berlin, Germany\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createLocation} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2017, 7, 2, 13, 37, 0);\nconst location = createLocation(52.52, 13.41);\n\nconst LMST = toi.getLocalMeanSiderealTime(location);\nconst LAST = toi.getLocalApparentSiderealTime(location);\n\n// To express the angle in time format use angleCalc.deg2time(LMST)\n```\n\nThe result of the calculation should be:\\\nLMST: *9h 13m 46.798s*\\\nLAST: *9h 13m 46.232s*\n\n### <a name=\"time-of-interest-deltat\"></a> Delta T\n\n**Example**: Get Delta T for 20 May 2000 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\n\nconst toi = createTimeOfInterest.fromTime(2000, 5, 20, 0, 0, 0);\n\nconst deltaT = toi.getDeltaT();\n```\n\nThe result of the calculation should be:\\\nDelta T: *64*\n\n## <a name=\"location\"></a> Location\n\n### <a name=\"location-distance\"></a> Distance between two locations\n\n**Example**: Calculate the distance between the Eiffel Tower and the Washington Monument in km\n\n```javascript\nimport {createLocation} from 'astronomy-bundle/earth';\n\nconst locationParis = createLocation(48.858272, 2.29447);\nconst locationWashingtonDc = createLocation(38.889514, -77.035193);\n\nconst distanceInKm = locationParis.getDistanceToInKm(locationWashingtonDc);\n```\n\nThe result of the calculation should be: *6177.93 km*\n\n## <a name=\"astronomical-objects\"></a> Astronomical Objects\n\nAn astronomical object should be initialized with the TOI. If you don't pass the TOI in the constructor, the\n**current** time is chosen.\n\n**Example 1**: Create an astronomical object with TOI\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromCurrentTime();\n\nconst moon = createMoon(toi);\n```\n\n**Example 2**: Create an astronomical object without TOI. The chosen TOI corresponds to the current time\n\n```javascript\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst moon = createMoon();\n```\n\n### <a name=\"astronomical-objects-coordinates\"></a> Coordinates of Astronomical Objects\n\n#### Explanation of different Coordinate Systems used\nCenter of coordinate system\n* Heliocentric (Sun is center of coordinate system)\n* Geocentric (Earth is center of coordinate system)\n* Topocentric (Observer's location is center of coordinate system)\n\nCoordinate system type\n* Ecliptic Rectangular (x, y, z)\n* Ecliptic Spherical (lon, lat, radiusVector)\n* Equatorial Spherical (rightAscension, declination, radiusVector)\n* Horizontal (azimuth, altitude, radiusVector)\n\n#### Usable Methods in objects \n\nEach object (e.g. Moon, Sun, Venus, Jupiter, ...) provides the following methods to get their coordinates in space:\n\n##### Heliocentric coordinates\n```javascript\ngetHeliocentricEclipticRectangularJ2000Coordinates()\ngetHeliocentricEclipticRectangularDateCoordinates()\ngetHeliocentricEclipticSphericalJ2000Coordinates()\ngetHeliocentricEclipticSphericalDateCoordinates()\n```\n\n##### Geocentric coordinates\n```javascript\ngetGeocentricEclipticRectangularJ2000Coordinates()\ngetGeocentricEclipticRectangularDateCoordinates()\ngetGeocentricEclipticSphericalJ2000Coordinates()\ngetGeocentricEclipticSphericalDateCoordinates()\ngetGeocentricEquatorialSphericalJ2000Coordinates()\ngetGeocentricEquatorialSphericalDateCoordinates()\ngetApparentGeocentricRectangularCoordinates() // Corrected by light time, abberation & nutation\ngetApparentGeocentricEclipticSphericalCoordinates() // Corrected by light time, abberation & nutation\ngetApparentGeocentricEquatorialSphericalCoordinates() // Corrected by light time, abberation & nutation\n```\n\n##### Topocentric coordinates\n```javascript\ngetTopocentricEquatorialSphericalCoordinates(location)\ngetTopocentricHorizontalCoordinates(location)\ngetApparentTopocentricHorizontalCoordinates(location) // Corrected by atmospheric refraction\n```\n\n## <a name=\"earth\"></a> Earth\n\nThis library uses the VSOP87 theory to calculate precise planetary positions.\nEach calculation uses terms with a heavy file size of several kilobytes.\nFor that reason all VSOP87 calculations will **load asynchronous** and only when they are used.\nAll coordinate methods do return a **Promise**.\n\n### <a name=\"earth-position\"></a> Position of the Earth\n\n**Example**: Calculate the heliocentric position (J2000) of the Earth for 10 December 2017 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createEarth} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2017, 12, 10, 0, 0, 0);\nconst earth = createEarth(toi);\n\nconst {x, y, z} = await earth.getHeliocentricEclipticRectangularJ2000Coordinates();\nconst {lon, lat, radiusVector} = await earth.getHeliocentricEclipticSphericalJ2000Coordinates();\n```\n\nThe result of the calculation should be:\\\n\\\nx: *0.2070104*\\\ny: *0.96282379*\\\nz: *-0.00004247*\\\n\\\nLongitude: *77° 51' 57.357\"*\\\nLatitude: *-0° 00' 08.895\"*\\\nRadius Vector: *0.98482636*\n\n### <a name=\"earth-nutation\"></a> Nutation in Longitude and Obliquity\n\n**Example**: Get nutation in Longitude and Obliquity for 01 August 2020 at 16:51:54 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createEarth} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2020, 8, 1, 16, 51, 54);\nconst earth = createEarth(toi);\n\nconst phi = earth.getNutationInLongitude();\nconst e = earth.getNutationInObliquity();\n\n// To express the angle in string format use angleCalc.deg2angle(p)\n```\n\nThe result of the calculation should be:\\\n\\\nNutation in Longitude: *-0° 00' 15.807\"*\\\nNutation in Obliquity: *0° 00' 00.395\"*\n\n### <a name=\"earth-obliquity-of-ecliptic\"></a> Obliquity of Ecliptic\n\n**Example**: Get Mean and True Obliquity of Ecliptic for 01 August 2020 at 16:51:54 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createEarth} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2020, 8, 1, 16, 51, 54);\nconst earth = createEarth(toi);\n\nconst eps0 = earth.getMeanObliquityOfEcliptic();\nconst eps = earth.getTrueObliquityOfEcliptic();\n\n// To express the angle in string format use angleCalc.deg2angle(eps)\n```\n\nThe result of the calculation should be:\\\n\\\nMean Obliquity of Ecliptic: *23° 26' 11.813\"*\\\nTrue Obliquity of Ecliptic: *23° 26' 12.208\"*\n\n## <a name=\"sun\"></a> Sun\n\nThis library uses the VSOP87 theory to calculate precise planetary positions.\nEach calculation uses terms with a heavy file size of several kilobytes.\nFor that reason all VSOP87 calculations will **load asynchronous** and only when they are used.\nAll coordinate methods do return a **Promise**.\n\n### <a name=\"sun-position\"></a> Position of the Sun\n\n**Example**: Get the position of the Sun (Date) for 10 October 2020 at 06:15 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSun} from 'astronomy-bundle/sun';\n\nconst toi = createTimeOfInterest.fromTime(2020, 10, 10, 6, 15, 0);\nconst sun = createSun(toi);\n\nconst geoEclCoords = await sun.getGeocentricEclipticSphericalDateCoordinates();\nconst geoAppEquCoords = await sun.getApparentGeocentricEquatorialSphericalCoordinates()\n```\n\nThe result should be:\\\n\\\nLongitude: *209.31555315°*\\\nLatitude: *-0.00014017°*\\\nRadius Vector: *0.99514386*\\\n\\\nRight Ascension: *207.25282342°*\\\nDeclination: *-11.22796087°*\\\nRadius Vector: *0.99514386*\n\n### <a name=\"sun-distance-diameter\"></a> Distance to Earth and diameter of the Sun\n\n**Example 1**: Get distance and diameter of the sun for the current date and time\n\n```javascript\nimport {createSun} from 'astronomy-bundle/sun';\n\nconst sun = createSun();\n\nconst distance = await sun.getDistanceToEarth();\nconst delta = await sun.getAngularDiameter();\n```\n\nThe result should be:\\\nThe distance is between 147.1 mio and 152.1 mio kilometers.\\\nThe angular diameter is about 32'\n\n**Example 2**: Get the distance and diameter of the Sun for 05 June 2017 at 20:30 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSun} from 'astronomy-bundle/createSun';\n\nconst toi = createTimeOfInterest.fromTime(2017, 6, 5, 20, 30, 0);\nconst sun = createSun(toi);\n\nconst distance = await sun.getDistanceToEarth();\nconst delta = await sun.getAngularDiameter();\n```\n\nThe result should be:\\\n\\\nDistance: *151797423.98 km*\\\nDiameter: *0° 31' 32.43\"*\n\n### <a name=\"sun-rise-set\"></a> Sunrise, Sunset and Transit\n\nThe used standard altitudes for sunset and sunrise consider the effect of atmospheric refraction and are given as:\n* Sun's center: -0.583°\n* Sun's upper limb: -0.833°\n\n**Example**: Get the rise, set and transit of the Sun on 20. November 2020 in Berlin, Germany\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSun} from 'astronomy-bundle/sun';\n\nconst location = {\n    lat: 52.519,\n    lon: 13.408,\n};\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 20, 0, 0, 0);\nconst sun = createSun(toi);\n\nconst toiRiseUpperLimb = await sun.getRiseUpperLimb(location);\nconst toiRiseCenter = await sun.getRise(location);\nconst toiTransit = await sun.getTransit(location);\nconst toiSetCenter = await sun.getSet(location);\nconst toiSetUpperLimb = await sun.getSetUpperLimb(location);\n```\n\nThe result should be:\\\n\\\nSunrise (upper limb): *06:37:31 UTC*\\\nSunrise (disk's center): *06:39:28 UTC*\\\nTransit: *11:52:04 UTC*\\\nSunset (disk's center): *15:04:10 UTC*\\\nSunset (upper limb): *15:06:07 UTC*\n\n## <a name=\"moon\"></a> Moon\n\nThis library uses the VSOP87 theory to calculate precise planetary positions.\nEach calculation uses terms with a heavy file size of several kilobytes.\nFor that reason all VSOP87 calculations will **load asynchronous** and only when they are used.\nAll coordinate methods do return a **Promise**.\n\n### <a name=\"moon-position\"></a> Position of the Moon\n\n**Example 1**: Calculate the geocentric position of the Moon for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst {x, y, z} = await moon.getGeocentricEclipticRectangularDateCoordinates();\nconst {lon, lat, radiusVector} = await moon.getGeocentricEclipticSphericalDateCoordinates();\nconst {rightAscension, declination, radiusVector} = await moon.getGeocentricEquatorialSphericalDateCoordinates();\n```\n\nThe result of the calculation should be:\\\n\\\nx: *-0.001682*\\\ny: *-0.001701*\\\nz: *0.000586*\\\n\\\nLongitude: *133.17°*\\\nLatitude: *-3.23°*\\\nRadius Vector: *0.002463*\\\n\\\nRight Ascension: *134.69°*\\\nDeclination: *13.77°*\\\nRadius Vector: *0.002463*\n\n### <a name=\"moon-distance-diameter\"></a> Distance to earth and diameter\n\n**Example 1**: Calculate the distance of the Moon in kilometers for the current time\n\n```javascript\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst moon = createMoon();\n\nconst distance = await moon.getDistanceToEarth();\nconst delta = await moon.getAngularDiameter();\n```\n\nThe result should be between 363300 km and 405500 km.\\\nThe angular diameter is about 32'\n\n**Example 2**: Get the distance of the Moon for 05 June 2017 at 20:30 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2017, 6, 5, 20, 30, 0);\nconst moon = createMoon(toi);\n\nconst distance = await moon.getDistanceToEarth();\n```\n\nThe result should be: *402937.61 km*\n\n### <a name=\"moon-rise-set\"></a> Moonrise, Moonset and Transit\n\nThe used standard altitude for moonset and moonrise is 0.125 which considers the effect of atmospheric refraction.\n\n**Example**: Get the rise, set and transit of the Moon on 20. November 2020 in Berlin, Germany\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst location = {\n    lat: 52.519,\n    lon: 13.408,\n};\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 20, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst toiRise = await moon.getRise(location);\nconst toiTransit = await moon.getTransit(location);\nconst toiSet = await moon.getSet(location);\n```\n\nThe result should be:\\\n\\\nMoonrise: *12:02:52 UTC*\\\nTransit: *16:03:43 UTC*\\\nMoonset: *20:11:42 UTC*\n\n### <a name=\"moon-phases\"></a> Phases of the Moon\n\n**Example 1**: Get the illuminated fraction of the Moon for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst k = await moon.getIlluminatedFraction();\nconst isWaxing = await moon.isWaxing();\n```\n\nThe result of the calculation should be:\\\nIllumination: *0.679 (67.9%)*\\\nIs waxing: *true*\n\n**Example 2**: Get upcoming first quarter and next full moon in November 2020\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 1, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst toiUpcomingFirstQuarter = moon.getUpcomingFirstQuarter();\nconst toiUpcomingFullMoon = moon.getUpcomingFullMoon();\n```\n\nThe result of the calculation should be:\\\nUpcoming first quarter: *2020-11-22 04:46:35 UTC*\\\nUpcoming full moon: *2020-11-30 09:31:22 UTC*\n\n### <a name=\"moon-magnitude\"></a> Apparent magnitude of the Moon\n\n**Example**: Get the apparent Magnitude of the Moon for 07 November 2020 at 01:20 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 7, 1, 20, 0);\nconst moon = createMoon(toi);\n\nconst V = await moon.getApparentMagnitude();\n```\n\nThe result of the calculation should be: *-10.71m*\n\n### <a name=\"moon-observation\"></a> Physical Observation of the Moon\n\n**Example 1**: Get the geocentric Physical Observation of the Moon for 07 November 2020 at 01:20 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 7, 1, 20, 0);\nconst moon = createMoon(toi);\n\nconst phi = await moon.getElongation();\nconst i = await moon.getPhaseAngle();\nconst chi = await moon.getPositionAngleOfBrightLimb();\n```\n\nThe result of the calculation should be:\\\nElongation from Sun: *108.26°*\\\nPhase Angle: *71.6°*\\\nPosition Angle of bright Limb: *100.29°*\n\n**Example 2**: Get the topocentric Physical Observation of the Moon for 07 November 2020 at 01:20 UTC for Berlin, Germany\n\n```javascript\nimport {createLocation} from 'astronomy-bundle/earth';\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst location = createLocation(52.52, 13.41, 30);\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 7, 1, 20, 0);\nconst moon = createMoon(toi);\n\nconst phi = await moon.getTopocentricElongation(location);\nconst i = await moon.getTopocentricPhaseAngle(location);\nconst chi = await moon.getTopocentricPositionAngleOfBrightLimb(location);\n```\n\nThe result of the calculation should be:\\\nElongation from Sun: *107.81°*\\\nPhase Angle: *72.05°*\\\nPosition Angle of bright Limb: *100.58°*\n\n### <a name=\"moon-libration\"></a> Libration of the moon\n\nThe libration is the wagging or wavering of the Moon perceived by Earth-bound observers.\n\n**Example 1**: Get the libration (selenographic position of the earth on the moons surface) on 12th of April 1992\n(See Meeus Example 53.a)\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst {lon, lat} = await moon.getGeocentricLibration();\nconst {lon, lat} = await moon.getSelenographicLocationOfEarth(); // same as getGeocentricLibration()\n```\n\nThe result of the calculation should be:\\\nLongitude: *-1.23121°*\\\nLatitude: *4.1998°*\n\n**Example 2**: Get the selenographic position of the sun on the moons surface on 12th of April 1992\n(See Meeus Example 53.b)\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst {lon, lat} = await moon.getSelenographicLocationOfSun();\n```\n\nThe result of the calculation should be:\\\nLongitude: *67.89894°*\\\nLatitude: *1.4615°*\n\n### <a name=\"moon-events\"></a> Golden Handle, Lunar X and V\n\nThe [Golden Handle](https://www.fullmoon.info/en/blog/golden-handle-moon.html) occurs about 4 days before the Full Moon.\nThe Jura Mountains catch the sunlight while Sinus Iridum below remains in shadow.\n\n**Example 1**: Get the time of the Golden Handle for April 2022.\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2022, 4, 1, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst goldenHandle = moon.getGoldenHandle();\n\nconst toiStart = await goldenHandle.getStartTime();\nconst toiMax = await goldenHandle.getMaximum();\nconst toiEnd = await goldenHandle.getEndTime();\n```\n\nThe result of the calculation should be:\\\nStart of visibility: *2022-04-11 18:19:36 UT*\\\nMaximum visibility: *2022-04-11 21:19:36 UT*\\\nEnd of visibility: *2022-04-12 03:19:36 UT*\n\nThe [Lunar X](https://en.wikipedia.org/wiki/Lunar_X) is a clair-obscur effect in which light and shadow creates the appearance of a letter 'X' on the rim of the Blanchinus, La Caille and Purbach craters.\n\n**Example 2**: Get the time of the Lunar X for April 2022.\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2022, 4, 1, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst lunarX = moon.getLunarX();\n\nconst toiStart = await lunarX.getStartTime();\nconst toiMax = await lunarX.getMaximum();\nconst toiEnd = await lunarX.getEndTime();\n```\n\nThe result of the calculation should be:\\\nStart of visibility: *2022-04-08 20:02:32 UT*\\\nMaximum visibility: *2022-04-08 21:32:32 UT*\\\nEnd of visibility: *2022-04-08 23:02:32 UT*\n\nThe Lunar V is another effect such as the Lunar X.\nThe Lunar V is longer visible than the Lunar X and can be seen even 10 hour after it reached his highest contrast.\n\n**Example 3**: Get the time of the Lunar V for April 2022.\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMoon} from 'astronomy-bundle/moon';\n\nconst toi = createTimeOfInterest.fromTime(2022, 4, 1, 0, 0, 0);\nconst moon = createMoon(toi);\n\nconst lunarV = moon.getLunarV();\n\nconst toiStart = await lunarV.getStartTime();\nconst toiMax = await lunarV.getMaximum();\nconst toiEnd = await lunarV.getEndTime();\n```\n\nThe result of the calculation should be:\\\nStart of visibility: *2022-04-08 19:09:03 UT*\\\nMaximum visibility: *2022-04-08 22:09:03 UT*\\\nEnd of visibility: *2022-04-09 06:09:03 UT*\n\n## <a name=\"planets\"></a> Planets\n\nThis library uses the VSOP87 theory to calculate precise planetary positions.\nEach calculation uses terms with a heavy file size of several kilobytes.\nFor that reason all VSOP87 calculations will **load asynchronous** and only when they are used.\nAll coordinate methods do return a **Promise**.\n\n### <a name=\"planets-position\"></a> Position of Planets\n\n**Example 1**: Calculate the heliocentric position for equinox J2000 of Venus for 04 November 2020 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createVenus} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 4, 0, 0, 0);\nconst venus = createVenus(toi);\n\nconst coordsRec = await venus.getHeliocentricEclipticRectangularJ2000Coordinates();\nconst coordsSph = await venus.getHeliocentricEclipticSphericalJ2000Coordinates();\n```\nThe result of the calculation should be:\\\n\\\nHeliocentric Rectangular (J2000)\\\nx: *-0.53523555*\\\ny: *0.477793213*\\\nz: *0.037443275*\\\n\\\nHeliocentric Spherical (J2000)\\\nLongitude: *138° 14' 43.437\"*\\\nLatitude: *2° 59' 14.774\"*\\\nRadius Vector: *0.71844655*\n\n**Example 2**: Calculate the geocentric position for current date of Jupiter for 04 November 2020 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createJupiter} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2020, 11, 4, 0, 0, 0);\nconst jupiter = createJupiter(toi);\n\nconst coordsRec = await jupiter.getGeocentricEclipticRectangularDateCoordinates();\nconst coordsSph = await jupiter.getGeocentricEclipticSphericalDateCoordinates();\n```\n\nThe result of the calculation should be:\\\n\\\nGeocentric Rectangular\\\nx: *4.1719826*\\\ny: *1.966573890*\\\nz: *-0.101817535*\\\n\\\nGeocentric Spherical\\\nLongitude: *25° 14' 17.091\"*\\\nLatitude: *-1° 15' 52.651\"*\\\nRadius Vector: *4.613373871*\n\n### <a name=\"planets-distance-diameter\"></a> Distance to Earth and diameter\n\n**Example**: Get the distance and diameter of Venus for 02 October 2008 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createVenus} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2008, 10, 2, 0, 0, 0);\nconst venus = createVenus(toi);\n\nconst d = await venus.getDistanceToEarth();\nconst delta = await venus.getAngularDiameter();\n```\n\nThe result of the calculation should be:\\\nDistance to Earth: *206 930 461.4 km*\\\nDiameter: *0° 00' 12.065\"*\n\n### <a name=\"planets-phases\"></a> Phases of a Planet\n\n**Example**: Get the illumination of the Mars for 20 Match 2019 at 02:55 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createMars} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2019, 3, 20, 2, 55, 0);\nconst mars = createMars(toi);\n\nconst k = await mars.getIlluminatedFraction();\nconst isWaxing = await mars.isWaxing();\n```\n\nThe result of the calculation should be:\\\nIllumination: *0.929 (92.9%)*\\\nIs waxing: *true*\n\n### <a name=\"planets-magnitude\"></a> Apparent magnitude of a Planet\n\n**Example**: Get the apparent magnitude of Jupiter for 05 January 2012 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createJupiter} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2012, 1, 5, 0, 0, 0);\nconst jupiter = createJupiter(toi);\n\nconst V = await jupiter.getApparentMagnitude();\n```\n\nThe result of the calculation should be: *-2.52m*\n\n### <a name=\"planets-observation\"></a> Physical Observation of Planets\n\n**Example**: Get the geocentric Physical Observation of Venus for 30 July 2020 at 22:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createVenus} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2020, 7, 30, 22, 0, 0);\nconst venus = createVenus(toi);\n\nconst phi = await venus.getElongation();\nconst i = await venus.getPhaseAngle();\nconst chi = await venus.getPositionAngleOfBrightLimb();\n```\n\nThe result of the calculation should be:\\\nElongation from Sun: *45.09°*\\\nPhase Angle: *98.85°*\\\nPosition Angle of bright Limb: *83.08°*\n\n### <a name=\"planets-conjunction\"></a> Conjunction of two Planets\n\n**Example 1**: Check if there is a conjunction between Jupiter and Saturn on 04 June 2018\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createJupiter, Saturn} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2018, 6, 4, 0, 0, 0);\nconst jupiter = createJupiter(toi);\n\nconst {toi} = await jupiter.getConjunctionInRightAscensionTo(Saturn);\n```\n\nThis code will throw an error: *No conjunction possible for given objects at 2458273.5*\n\n**Example 2**: Check if there is a conjunction between Jupiter and Saturn on 21 December 2020\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createJupiter, Saturn} from 'astronomy-bundle/planets';\n\nconst toi = createTimeOfInterest.fromTime(2020, 12, 21, 0, 0, 0);\nconst jupiter = createJupiter(toi);\n\nconst {toi, position, angularDistance} = await jupiter.getConjunctionInRightAscensionTo(Saturn);\n```\n\nResult of the calculation:\\\n*There is a conjunction on 21 December 2020 at 13:24 UTC*\\\n*And Jupiter is 06' 15.164\" north of Saturn* \n\n## <a name=\"stars\"></a> Stars\n\n### <a name=\"stars-position\"></a> Position of Stars\n\n**Example 1**: Given are the equatorial coordinates of epoch J2000.\\\nRight Ascension: 2h 44m 11.986s\\\nDeclination: 49° 13' 42.48\"\\\nProper motion in Right Ascension: 0.03425\"\\\nProper motion in Declination: -0.0895\"\\\nCalculate the apparent position for 04 November 2028 at 00:00 UTC\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createStar} from 'astronomy-bundle/stars';\n\nconst toi = createTimeOfInterest.fromTime(2028, 11, 13, 0, 0, 0);\n\nconst coordsJ2000 = {\n    rightAscension: 41.04994167,\n    declination: 49.22846667,\n    radiusVector: 1,\n};\n\nconst properMotion = {\n    rightAscension: 0.0001427083,\n    declination: -0.000024861,\n};\n\nconst star = createStar.byEquatorialCoordinates(coordsJ2000, toi, properMotion);\n\nconst coords = await star.getApparentGeocentricEquatorialSphericalCoordinates();\n```\n\nThe result of the calculation should be:\\\n\\\nRight Ascension: 2h 46m 14.548s\\\nDeclination: 49° 21' 05.617\"\n\n**Example 2**: You may pass the epoch in Julian Days to the constructor,\nin case the coordinates of a star are given for another epoch than J2000.\n\n```javascript\nimport {createTimeOfInterest, EPOCH_J1950} from 'astronomy-bundle/time';\nimport {createStar} from 'astronomy-bundle/stars';\n\nconst toi = createTimeOfInterest.fromTime(2028, 11, 13, 0, 0, 0);\n\nconst coordsJ1950 = {\n    rightAscension: 41.04994167,\n    declination: 49.22846667,\n    radiusVector: 1,\n};\n\nconst properMotion = {\n    rightAscension: 0.0001427083,\n    declination: -0.000024861,\n};\n\nconst star = createStar.byEquatorialCoordinates(coordsJ1950, toi, properMotion, EPOCH_J1950);\n```\n\n## <a name=\"solar-eclipse\"></a> Solar Eclipse\n\nYou can create a new Solar Eclipse object by using Besselian Elements or a given date using the TimeOfInterest object.\nThis bundle contains all Besselian Elements **from the year 1500 to 2500**.\nTo reduce the bundle size the `createSolarEclipse.fromTimeOfInterest()` function will load the\nBesselian Elements asynchronous.\n\n**Example 1**: Create the Solar Eclipse for 14 December 2020 using the TimeOfInterest object\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSolarEclipse} from 'astronomy-bundle/solarEclipse';\n\nconst toi = createTimeOfInterest.fromTime(2020, 12, 14, 0, 0, 0);\n\nconst solarEclipse = await createSolarEclipse.fromTimeOfInterest(toi);\n```\n\n**Example 2**: Create the Solar Eclipse for 14 December 2020 using the Besselian Elements\\\n*Data source: https://eclipse.gsfc.nasa.gov/SEsearch/SEdata.php?Ecl=20201214*\n\n```javascript\nimport {createSolarEclipse} from 'astronomy-bundle/solarEclipse';\n\nconst besselianElements = {\n   tMax: 2459198.177,\n   t0: 16,\n   dT: 72.1,\n   x: [-0.181824, 0.5633567, 0.0000216, -0.000009],\n   y: [-0.269645, -0.0858122, 0.0001884, 0.0000015],\n   d: [-23.2577591, -0.001986, 0.000006, 0],\n   l1: [0.543862, 0.000097, -0.0000126, 0],\n   l2: [-0.002265, 0.0000965, -0.0000125, 0],\n   mu: [61.265911, 14.9965, 0, 0],\n   tanF1: 0.0047502,\n   tanF2: 0.0047266,\n   latGreatestEclipse: -40.3,\n   lonGreatestEclipse: -67.9,\n};\n\nconst solarEclipse = createSolarEclipse.fromBesselianElements(besselianElements);\n```\n\n### <a name=\"solar-eclipse-exists\"></a> Check if solar eclipse exists\n\n**Example 1**: Check if there is a Solar Eclipse on 15 January 2019\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {solarEclipseExists} from 'astronomy-bundle/solarEclipse';\n\nconst toi = createTimeOfInterest.fromTime(2019, 1, 15, 0, 0, 0);\nconst exists = solarEclipseExists(toi);\n```\n\nResult of the calculation: *There is no solar eclipse*\n\n**Example 2**: Check if there is a Solar Eclipse on 21 August 2017\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {solarEclipseExists} from 'astronomy-bundle/solarEclipse';\n\nconst toi = createTimeOfInterest.fromTime(2017, 8, 21, 0, 0, 0);\nconst exists = solarEclipseExists(toi);\n```\n\nResult of the calculation: *Yes, there is a solar eclipse*\n\n### <a name=\"solar-eclipse-greatest\"></a> Greatest Eclipse\n\n**Example**: Get the location of the greatest eclipse for the total solar eclipse on 14 December 2020\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSolarEclipse} from 'astronomy-bundle/solarEclipse';\n\nconst toi = createTimeOfInterest.fromTime(2020, 12, 14, 0, 0, 0);\nconst solarEclipse = await createSolarEclipse.fromTimeOfInterest(toi);\n\nconst location = solarEclipse.getLocationOfGreatestEclipse();\n```\n\nResult of the calculation:\\\nLat: *-40.3°*\\\nLon: *-67.9°*\n\n### <a name=\"solar-eclipse-obs-circumstances\"></a> Observational Solar Eclipse Circumstances\n\nObservational circumstances are circumstances which are dependent on the location of the observer and the exact time.\nSome events during an eclipse are special:\n\n* C1: First contact of the moon and the sun. Beginning of the solar eclipse\n* C2: Beginning of totality or annularity (Only during total or annular eclipse)\n* Max: Maximum obscuration of the sun\n* C3: End of totality or annularity (Only during total or annular eclipse)\n* C4: Last contact of the moon and the sun. End of the solar eclipse\n\n**Hint for examples:**\nAll examples below are using the following data:\\\nEclipse date: 14 December 2020\\\nLocation of the observer: -40.04842°, -70.07593° (Piedra del Águila, Argentina, elevation: 500 meters)\n\n**Example 1**: Get the observational circumstances for all contacts and the maximum eclipse.\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSolarEclipse} from 'astronomy-bundle/solarEclipse';\nimport {createLocation} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2020, 12, 14, 0, 0, 0);\nconst location = createLocation(-40.04842, -70.07593, 500);\n\nconst solarEclipse = await createSolarEclipse.fromTimeOfInterest(toi);\n\nconst localCircumstances = solarEclipse.getLocalCircumstances(location);\n\nconst obsCircumstancesC1 = localCircumstances.getObservationalCircumstancesForC1();\nconst obsCircumstancesC2 = localCircumstances.getObservationalCircumstancesForC2();\nconst obsCircumstancesMax = localCircumstances.getObservationalCircumstancesForMaxEclipse();\nconst obsCircumstancesC3 = localCircumstances.getObservationalCircumstancesForC3();\nconst obsCircumstancesC4 = localCircumstances.getObservationalCircumstancesForC4();\n```\n\n**Example 2**: Get the eclipse type, magnitude, moon-sun ratio and obscuration of the maximum eclipse for the given location.\n\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSolarEclipse} from 'astronomy-bundle/solarEclipse';\nimport {createLocation} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2020, 12, 14, 0, 0, 0);\nconst location = createLocation(-40.04842, -70.07593, 500);\n\nconst solarEclipse = await createSolarEclipse.fromTimeOfInterest(toi);\n\nconst obsCircumstances = solarEclipse\n        .getLocalCircumstances(location)\n        .getObservationalCircumstancesForMaxEclipse();\n\nconst eclipseType = obsCircumstances.getEclipseType();\nconst magnitude = obsCircumstances.getMagnitude();\nconst moonSunRatio = obsCircumstances.getMoonSunRatio();\nconst obscuration = obsCircumstances.getObscuration();\n```\n\nResult of the calculation:\\\nEclipse type: *3 (0 = none, 1 = partial, 2 = annular, 3 = total)*\\\nMagnitude: *1.00633*\\\nMoon-Sun ratio: *1.02535*\\\nObscuration: *100%*\n\nIn other words: The observer will see a total solar eclipse where to moon covers the sun 100%.\n\n**Example 3**: Get the eclipse type, magnitude, moon-sun ratio and obscuration of the maximum eclipse for an observer **outside** of the path of totality.\nLocation: -37.47010, -72.36141\n```javascript\nimport {createTimeOfInterest} from 'astronomy-bundle/time';\nimport {createSolarEclipse} from 'astronomy-bundle/solarEclipse';\nimport {createLocation} from 'astronomy-bundle/earth';\n\nconst toi = createTimeOfInterest.fromTime(2020, 12, 14, 0, 0, 0);\nconst location = createLocation(-37.47010, -72.36141, 135);\n\nconst solarEclipse = await createSolarEclipse.fromTimeOfInterest(toi);\n\nconst obsCircumstances = solarEclipse\n        .getLocalCircumstances(location)\n        .getObservationalCircumstancesForMaxEclipse();\n\nconst eclipseType = obsCircumstances.getEclipseType();\nconst magnitude = obsCircumstances.getMagnitude();\nconst moonSunRatio = obsCircumstances.getMoonSunRatio();\nconst obscuration = obsCircumstances.getObscuration();\n```\n\nResult of the calculation:\\\nEclipse type: *1 (0 = none, 1 = partial, 2 = annular, 3 = total)*\\\nMagnitude: *0.96144*\\\nMoon-Sun ratio: *1.02547*\\\nObscuration: *95.76%*\n\nIn other words: The observer will see a partial solar eclipse with a maximum obscuration of 95.8%.\n\n## <a name=\"satellites\"></a> Satellites\n\n### <a name=\"satellites-tle\"></a> Two Line Elements\n\n**Example**: Parse Two Line Elements for the ISS\n\n```javascript\nimport {parseTwoLineElement} from 'astronomy-bundle/satellites';\n\nconst tleString = `\n        ISS(ZARYA)\n        1 25544U 98067A   06040.85138889  .00012260  00000-0  86027-4 0  3194\n        2 25544  51.6448 122.3522 0008835 257.3473 251.7436 15.74622749413094\n    `;\n\nconst tle = parseTwoLineElement(tleString);\n```\n","readmeFilename":"README.md","homepage":"https://github.com/andrmoel/astronomy-bundle-js#readme","bugs":{"url":"https://github.com/andrmoel/astronomy-bundle-js/issues"},"keywords":["astronomy","calculations","sun","sunrise","sunset","solar eclipse","moon","moonrise","moonset","libration","planets","mercury","venus","mars","jupiter","saturn","uranus","neptune","VSOP87","satellite","two line elements","tle"]}