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Geocentric coordinates are derived from the Moon's mean orbital elements with corrections for the principal perturbations, and apparent coordinates apply nutation corrections. Topocentric results are exposed as apparent coordinates and, for horizontal altitude, as observed coordinates with atmospheric refraction applied. Observation quantities such as elongation, phase angle, illuminated fraction, and upcoming lunar phases are also available.\n\n## Contents\n\n- [Install](#install)\n- [High precision](#high-precision)\n- [API Reference](#api-reference)\n  - [Create the Moon object](#create-the-moon-object)\n  - [Geocentric ecliptic spherical coordinates](#geocentric-ecliptic-spherical-coordinates)\n  - [Geocentric ecliptic rectangular coordinates](#geocentric-ecliptic-rectangular-coordinates)\n  - [Geocentric equatorial spherical coordinates](#geocentric-equatorial-spherical-coordinates)\n  - [Apparent geocentric coordinates](#apparent-geocentric-coordinates)\n  - [Topocentric coordinates](#topocentric-coordinates)\n  - [Rise, transit and set](#rise-transit-and-set)\n  - [Distance to Earth](#distance-to-earth)\n  - [Light time](#light-time)\n  - [Angular diameter](#angular-diameter)\n  - [Elongation](#elongation)\n  - [Phase angle](#phase-angle)\n  - [Illuminated fraction](#illuminated-fraction)\n  - [Position angle of bright limb](#position-angle-of-bright-limb)\n  - [Waxing / waning](#waxing--waning)\n  - [Apparent magnitude](#apparent-magnitude)\n  - [Upcoming lunar phases](#upcoming-lunar-phases)\n  - [Sub-Earth, geocentric libration, topocentric libration, and sub-Solar points](#sub-earth-geocentric-libration-topocentric-libration-and-sub-solar-points)\n  - [Position angle of the axis](#position-angle-of-the-axis)\n\n## Install\n\nWith npm: `npm install @astronomy-bundle/moon @astronomy-bundle/core`\\\nWith yarn: `yarn add @astronomy-bundle/moon @astronomy-bundle/core`\\\nWith pnpm: `pnpm add @astronomy-bundle/moon @astronomy-bundle/core`\n\n## High precision\n\nBy default the `Moon` class uses the standard `Sun` and `Earth` models (VSOP87 reduced series). For maximum accuracy you can import from the `high-precision` entry point instead, which uses the full VSOP87 series for both the Sun and Earth:\n\n```javascript\nimport {Moon} from '@astronomy-bundle/moon/high-precision';\n```\n\n> **⚠️ Warning:** The full VSOP87 series used by the high-precision variant contains significantly more terms than the reduced version. This results in a **~10x larger bundle size** and slower parse time. Only use this variant when the extra accuracy is required.\n\n## API Reference\n\n### Create the Moon object\n\n**Description:** The `Moon` object represents the Moon at a specific point in time, given as a `TimeOfInterest`. If no TOI is provided it defaults to the current time.\n\n**Example**: Create a Moon object for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n// or for high precision:\n// import {Moon} from '@astronomy-bundle/moon/high-precision';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n```\n\n---\n\n### Geocentric ecliptic spherical coordinates\n\n**Description:** These methods return the Moon's position as geocentric ecliptic spherical coordinates `{lon, lat, radiusVector}`. Longitude and latitude are in degrees; the radius vector (distance from Earth) is in astronomical units (AU). Two reference frames are available: J2000.0 (fixed equinox of year 2000) and the ecliptic of the date. For the Moon these two frames return identical values.\n\n**Example**: Get geocentric ecliptic spherical coordinates for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n\nconst coordsJ2000 = moon.getGeocentricEclipticSphericalJ2000Coordinates();\nconst coordsDate  = moon.getGeocentricEclipticSphericalDateCoordinates();\n```\n\nThe result of the calculation should be:\\\nLongitude: *133.172339°*\\\nLatitude: *-3.229784°*\\\nRadius vector: *0.002463 AU*\n\n---\n\n### Geocentric ecliptic rectangular coordinates\n\n**Description:** These methods return the Moon's position as geocentric ecliptic rectangular coordinates `{x, y, z}` in astronomical units (AU), derived from the spherical coordinates.\n\n**Example**: Get geocentric ecliptic rectangular coordinates for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n\nconst coordsJ2000 = moon.getGeocentricEclipticRectangularJ2000Coordinates();\nconst coordsDate  = moon.getGeocentricEclipticRectangularDateCoordinates();\n```\n\nThe result of the calculation should be:\\\nx: *-0.001682 AU*\\\ny: *0.001793 AU*\\\nz: *-0.000139 AU*\n\n---\n\n### Geocentric equatorial spherical coordinates\n\n**Description:** These methods return the Moon's position in the equatorial coordinate frame as `{rightAscension, declination, radiusVector}`. Right ascension and declination are in degrees; the radius vector is in AU. Two reference frames are available: J2000.0 and the equator of the date. For the Moon these two frames return identical values.\n\n**Example**: Get geocentric equatorial spherical coordinates for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n\nconst coordsJ2000 = moon.getGeocentricEquatorialSphericalJ2000Coordinates();\nconst coordsDate  = moon.getGeocentricEquatorialSphericalDateCoordinates();\n```\n\nThe result of the calculation should be:\\\nRight ascension: *134.69329°*\\\nDeclination: *13.766317°*\\\nRadius vector: *0.002463 AU*\n\n---\n\n### Apparent geocentric coordinates\n\n**Description:** Apparent coordinates apply a nutation correction to the geometric coordinates, giving the position as it would be observed from Earth's centre. Available in both ecliptic and equatorial spherical forms, as well as ecliptic rectangular.\n\n**Example**: Get apparent geocentric coordinates for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n\nconst eclipticSpherical   = moon.getApparentGeocentricEclipticSphericalCoordinates();\nconst equatorialSpherical = moon.getApparentGeocentricEquatorialSphericalCoordinates();\n```\n\nThe result of the calculation should be:\\\nApparent ecliptic longitude: *133.176949°*\\\nApparent ecliptic latitude: *-3.229784°*\\\nApparent ecliptic radius vector: *0.002463 AU*\n\nApparent right ascension: *134.697835°*\\\nApparent declination: *13.765026°*\\\nApparent radius vector: *0.002463 AU*\n\n---\n\n### Topocentric coordinates\n\n**Description:** Topocentric coordinates shift the geocentric position to match the perspective of an observer at a specific location on Earth's surface. A `Location` (geographic latitude and longitude in degrees) is required. The API exposes apparent topocentric equatorial coordinates, apparent topocentric horizontal coordinates with geometric altitude, and observed topocentric horizontal coordinates with atmospheric refraction applied to the altitude.\n\n**Example**: Get topocentric coordinates for 12 April 1992 at 00:00 UTC, observer at 52.519°N, 122.4108°W\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst apparentEquatorial = moon.getApparentTopocentricEquatorialSphericalCoordinates(location);\nconst apparentHorizontal = moon.getApparentTopocentricHorizontalCoordinates(location);\nconst observedHorizontal = moon.getRefractionCorrectedTopocentricHorizontalCoordinates(location);\n```\n\nThe result of the calculation should be:\\\nApparent topocentric right ascension: *135.221218°*\\\nApparent topocentric declination: *13.076483°*\n\nApparent topocentric azimuth: *108.958631°*\\\nGeometric altitude: *30.049601°*\\\nObserved altitude (with refraction): *30.078641°*\n\n---\n\n### Rise, transit and set\n\n**Description:** These methods return the times of the Moon's rise, upper transit (culmination) and set for an observer at a given `Location`, each as a `TimeOfInterest`.\n\n`getTransit` takes only the location. The rise and set methods come in two variants and additionally accept an optional `LimbAlignment`:\n\n- **Geometric** (`getGeometricRise`, `getGeometricSet`) — the event is defined by the true geometric altitude, without atmospheric refraction.\n- **Apparent** (`getApparentRise`, `getApparentSet`) — atmospheric refraction is taken into account, matching the times an observer actually sees.\n\nThe `LimbAlignment` argument selects which part of the lunar disk crosses the horizon: `LimbAlignment.Center` (default), `LimbAlignment.UpperLimb` or `LimbAlignment.LowerLimb`.\n\n**Example**: Get rise, transit and set for 12 April 1992, observer at 52.519°N, 122.4108°W\n\n```javascript\nimport {TimeOfInterest, Location, LimbAlignment} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst transit = moon.getTransit(location);\n\n// Rise/set of the disk's center, with and without refraction\nconst apparentRise  = moon.getApparentRise(location);\nconst geometricRise = moon.getGeometricRise(location);\nconst apparentSet   = moon.getApparentSet(location);\nconst geometricSet  = moon.getGeometricSet(location);\n\n// Rise/set of the upper limb (e.g. the moment the disk first appears)\nconst upperLimbRise = moon.getApparentRise(location, LimbAlignment.UpperLimb);\nconst upperLimbSet  = moon.getApparentSet(location, LimbAlignment.UpperLimb);\n```\n\nThe result of the calculation should be (UTC):\\\nTransit: *03:54:59*\n\nApparent rise (center): *21:47:41*\\\nGeometric rise (center): *21:51:45*\\\nApparent set (center): *11:08:16*\\\nGeometric set (center): *11:04:18*\n\nApparent rise (upper limb): *21:45:45*\\\nApparent set (upper limb): *11:10:11*\n\n---\n\n### Distance to Earth\n\n**Description:** These methods return the distance between the Moon and Earth in kilometres. `getDistanceToEarth` and `getApparentDistanceToEarth` return the geocentric distance; the topocentric variant corrects for the observer's position on the surface.\n\n**Example**: Get the distance to Earth for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst distance            = moon.getDistanceToEarth();\nconst topocentricDistance = moon.getTopocentricDistanceToEarth(location);\n```\n\nThe result of the calculation should be:\\\nGeocentric distance: *368,409.006815 km*\\\nTopocentric distance: *365,174.995170 km*\n\n---\n\n### Light time\n\n**Description:** Returns the time in seconds that light takes to travel from the Moon to Earth at the given moment.\n\n**Example**: Get light time for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n\nconst lightTime = moon.getLightTime();\n```\n\nThe result of the calculation should be:\\\nLight time: *0h 0m 1.23s*\n\n---\n\n### Angular diameter\n\n**Description:** Returns the Moon's angular diameter in degrees as seen from Earth (or from a surface observer for the topocentric variant).\n\n**Example**: Get the angular diameter for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst diameter            = moon.getAngularDiameter();\nconst topocentricDiameter = moon.getTopocentricAngularDiameter(location);\n```\n\nThe result of the calculation should be:\\\nGeocentric angular diameter: *0° 32' 25.456\"* (0.540405°)\\\nTopocentric angular diameter: *0° 32' 42.685\"* (0.545190°)\n\n---\n\n### Elongation\n\n**Description:** Returns the angular separation between the Moon and the Sun in degrees. Values range from 0° (new moon) to 180° (full moon).\n\n**Example**: Get elongation for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst elongation            = moon.getElongation();\nconst topocentricElongation = moon.getTopocentricElongation(location);\n```\n\nThe result of the calculation should be:\\\nElongation: *110.801871°*\\\nTopocentric elongation: *111.471865°*\n\n---\n\n### Phase angle\n\n**Description:** Returns the phase angle of the Moon in degrees — the angle Sun–Moon–Earth. A phase angle of 0° corresponds to full moon and 180° to new moon.\n\n**Example**: Get phase angle for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst phaseAngle            = moon.getPhaseAngle();\nconst topocentricPhaseAngle = moon.getTopocentricPhaseAngle(location);\n```\n\nThe result of the calculation should be:\\\nPhase angle: *69.066670°*\\\nTopocentric phase angle: *68.398420°*\n\n---\n\n### Illuminated fraction\n\n**Description:** Returns the fraction of the Moon's disk that is illuminated, as a value between 0 (new moon) and 1 (full moon).\n\n**Example**: Get illuminated fraction for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst fraction            = moon.getIlluminatedFraction();\nconst topocentricFraction = moon.getTopocentricIlluminatedFraction(location);\n```\n\nThe result of the calculation should be:\\\nIlluminated fraction: *0.679*\\\nTopocentric illuminated fraction: *0.684*\n\n---\n\n### Position angle of bright limb\n\n**Description:** Returns the position angle of the Moon's bright limb in degrees, measured eastward from the north point of the disk. This indicates the direction from which the Moon is illuminated.\n\n**Example**: Get position angle of bright limb for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst chi            = moon.getPositionAngleOfBrightLimb();\nconst topocentricChi = moon.getTopocentricPositionAngleOfBrightLimb(location);\n```\n\nThe result of the calculation should be:\\\nPosition angle: *285.046°*\\\nTopocentric position angle: *284.962°*\n\n---\n\n### Waxing / waning\n\n**Description:** Returns `true` if the Moon is currently waxing (moving from new moon toward full moon), `false` if it is waning.\n\n**Example**: Check waxing/waning for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst waxing            = moon.isWaxing();\nconst topocentricWaxing = moon.isTopocentricWaxing(location);\n```\n\nThe result of the calculation should be:\\\nWaxing: *true*\\\nTopocentric waxing: *true*\n\n---\n\n### Apparent magnitude\n\n**Description:** Returns the apparent visual magnitude of the Moon. The value depends on the phase angle, the Moon's distance from Earth, and whether it is waxing or waning.\n\n**Example**: Get apparent magnitude for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest, Location} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst magnitude            = moon.getApparentMagnitude();\nconst topocentricMagnitude = moon.getTopocentricApparentMagnitude(location);\n```\n\nThe result of the calculation should be:\\\nApparent magnitude: *-11.04*\\\nTopocentric apparent magnitude: *-11.08*\n\n---\n\n### Upcoming lunar phases\n\n**Description:** These methods return the `TimeOfInterest` of the principal lunar phases in the lunation selected from the Moon's current date. Depending on the phase, the result can be before or after the Moon's current date. The four phases are new moon, first quarter, full moon, and last quarter.\n\n**Example**: Get upcoming lunar phases for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst moon = Moon.create(toi);\n\nconst newMoon      = moon.getUpcomingNewMoon();\nconst firstQuarter = moon.getUpcomingFirstQuarter();\nconst fullMoon     = moon.getUpcomingFullMoon();\nconst lastQuarter  = moon.getUpcomingLastQuarter();\n```\n\nThe result of the calculation should be:\\\nNext new moon: *1992-04-03 05:01:04 UTC*\\\nNext first quarter: *1992-04-10 10:05:44 UTC*\\\nNext full moon: *1992-04-17 04:42:23 UTC*\\\nNext last quarter: *1992-04-24 21:39:38 UTC*\n\n---\n\n### Sub-Earth, geocentric libration, topocentric libration, and sub-Solar points\n\n**Description:** These methods describe how the Moon is oriented toward the Earth and Sun at a given time.\n\n- `getSubEarthPoint()` represents the point on the Moon where Earth is at the zenith. It returns the selenographic coordinates of the point directly facing Earth.\n- `getSubSolarPoint()` represents the point on the Moon where the Sun is at the zenith. It returns the selenographic coordinates of the point directly under the Sun.\n- `getGeocentricLibration()` represents the optical libration of the Moon as seen from Earth's center. It returns the longitude and latitude offset of the apparent lunar disk center from the mean center.\n- `getGeocentricLibrationMagnitude()` represents the total geocentric libration amount. It returns a single angular distance in degrees from `(0°, 0°)`.\n- `getTopocentricLibration(location)` represents the optical libration as seen from a specific location on Earth. It returns the longitude and latitude offset of the apparent lunar disk center including parallax effects.\n- `getTopocentricLibrationMagnitude(location)` represents the total topocentric libration amount. It returns a single angular distance in degrees from `(0°, 0°)` including parallax.\n\n**Example**: Get the Moon's Earth-facing and Sun-facing reference points for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {Location, TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst subEarthPoint = moon.getSubEarthPoint();\nconst subSolarPoint = moon.getSubSolarPoint();\nconst geocentricLibration = moon.getGeocentricLibration();\nconst geocentricLibrationMagnitude = moon.getGeocentricLibrationMagnitude();\nconst topocentricLibration = moon.getTopocentricLibration(location);\nconst topocentricLibrationMagnitude = moon.getTopocentricLibrationMagnitude(location);\n```\n\nThe result of the calculation should be:\\\nSub-Earth point: *lon -1.23046°, lat 4.2007°*\\\nSub-Solar point: *lon 67.89065°, lat 1.46152°*\\\nGeocentric libration: *lon -1.20504°, lat 4.19489°*\\\nGeocentric libration magnitude: *4.36455°*\\\nTopocentric libration: *lon -0.55223°, lat 4.73204°*\\\nTopocentric libration magnitude: *4.76416°*\n\n---\n\n### Position angle of the axis\n\n**Description:** These methods return the position angle of the Moon's axis of rotation in degrees, measured eastward from the north point of the disk. It indicates the direction of the Moon's north pole as projected onto the sky.\n\n- `getPositionAngleOfAxis()` returns the position angle as seen from Earth's center.\n- `getTopocentricPositionAngleOfAxis(location)` returns the position angle as seen from a specific location on Earth, including parallax effects.\n\n**Example**: Get the position angle of the axis for 12 April 1992 at 00:00 UTC\n\n```javascript\nimport {Location, TimeOfInterest} from '@astronomy-bundle/core';\nimport {Moon} from '@astronomy-bundle/moon';\n\nconst toi = TimeOfInterest.fromTime(1992, 4, 12, 0, 0, 0);\nconst location = Location.create(52.519, -122.4108);\nconst moon = Moon.create(toi);\n\nconst positionAngleOfAxis = moon.getPositionAngleOfAxis();\nconst topocentricPositionAngleOfAxis = moon.getTopocentricPositionAngleOfAxis(location);\n```\n\nThe result of the calculation should be:\\\nPosition angle of the axis: *15.08707°*\\\nTopocentric position angle of the axis: *15.26101°*\n","readmeFilename":"README.md"}