ootk-core
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Orbital Object Toolkit. A modern typed replacement for satellite.js including SGP4 propagation, TLE parsing, Sun and Moon calculations, and more.
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/**
* @author Theodore Kruczek.
* @license MIT
* @copyright (c) 2022-2025 Theodore Kruczek 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.
*/
import type { ClassicalElements } from '../coordinate/index.js';
import { Geodetic } from '../coordinate/Geodetic.js';
import { ITRF } from '../coordinate/ITRF.js';
import { J2000 } from '../coordinate/J2000.js';
import { RIC } from '../coordinate/RIC.js';
import { Tle } from '../coordinate/Tle.js';
import { OptionsParams } from '../interfaces/OptionsParams.js';
import { SatelliteParams } from '../interfaces/SatelliteParams.js';
import { RAE } from '../observation/RAE.js';
import { Vector3D } from '../operations/Vector3D.js';
import { EpochUTC } from '../time/EpochUTC.js';
import { ecf2rae, eci2ecf, eci2lla, jday } from '../transforms/index.js';
import {
Degrees,
EcfVec3,
EciVec3,
GreenwichMeanSiderealTime,
Kilometers,
KilometersPerSecond,
LlaVec3,
Minutes,
PosVel,
Radians,
RaeVec3,
SatelliteRecord,
Seconds,
TleLine1,
TleLine2,
} from '../types/types.js';
import { DEG2RAD, MILLISECONDS_TO_DAYS, MINUTES_PER_DAY, RAD2DEG } from '../utils/constants.js';
import { dopplerFactor } from './../utils/functions.js';
import { BaseObject } from './BaseObject.js';
import { GroundObject } from './GroundObject.js';
import { OmmDataFormat, OmmParsedDataFormat } from '../interfaces/OmmFormat.js';
import { Sgp4 } from '../main.js';
/**
* Represents a satellite object with orbital information and methods for
* calculating its position and other properties.
*/
export class Satellite extends BaseObject {
apogee!: Kilometers;
argOfPerigee!: Degrees;
bstar!: number;
eccentricity!: number;
epochDay!: number;
epochYear!: number;
inclination!: Degrees;
intlDes!: string;
meanAnomaly!: Degrees;
meanMoDev1!: number;
meanMoDev2!: number;
meanMotion!: number;
options: OptionsParams;
perigee!: Kilometers;
period!: Minutes;
rightAscension!: Degrees;
satrec!: SatelliteRecord;
/** The satellite catalog number as listed in the TLE. */
sccNum!: string;
/** The 5 digit alpha-numeric satellite catalog number. */
sccNum5!: string;
/** The 6 digit numeric satellite catalog number. */
sccNum6!: string;
tle1!: TleLine1;
tle2!: TleLine2;
/** The semi-major axis of the satellite's orbit. */
semiMajorAxis!: Kilometers;
/** The semi-minor axis of the satellite's orbit. */
semiMinorAxis!: Kilometers;
constructor(info: SatelliteParams, options?: OptionsParams) {
super(info);
if (info.tle1 && info.tle2) {
this.parseTleAndUpdateOrbit_(info.tle1, info.tle2, info.sccNum);
} else if (info.omm) {
this.parseOmmAndUpdateOrbit_(info.omm);
} else {
throw new Error('tle1 and tle2 or omm must be provided to create a Satellite object.');
}
this.options = options ?? {
notes: '',
};
}
private parseTleAndUpdateOrbit_(tle1: TleLine1, tle2: TleLine2, sccNum?: string) {
const tleData = Tle.parse(tle1, tle2);
this.tle1 = tle1;
this.tle2 = tle2;
this.sccNum = sccNum ?? tleData.satNum.toString();
this.sccNum5 = Tle.convert6DigitToA5(this.sccNum);
this.sccNum6 = Tle.convertA5to6Digit(this.sccNum5);
this.intlDes = tleData.intlDes;
this.epochYear = tleData.epochYear;
this.epochDay = tleData.epochDay;
this.meanMoDev1 = tleData.meanMoDev1;
this.meanMoDev2 = tleData.meanMoDev2;
this.bstar = tleData.bstar;
this.inclination = tleData.inclination;
this.rightAscension = tleData.rightAscension;
this.eccentricity = tleData.eccentricity;
this.argOfPerigee = tleData.argOfPerigee;
this.meanAnomaly = tleData.meanAnomaly;
this.meanMotion = tleData.meanMotion;
this.period = tleData.period;
this.semiMajorAxis = ((8681663.653 / this.meanMotion) ** (2 / 3)) as Kilometers;
this.semiMinorAxis = (this.semiMajorAxis * Math.sqrt(1 - this.eccentricity ** 2)) as Kilometers;
this.apogee = (this.semiMajorAxis * (1 + this.eccentricity) - 6371) as Kilometers;
this.perigee = (this.semiMajorAxis * (1 - this.eccentricity) - 6371) as Kilometers;
this.satrec = Sgp4.createSatrec(tle1, tle2);
}
private parseOmmAndUpdateOrbit_(omm: OmmDataFormat) {
this.sccNum = omm.NORAD_CAT_ID.padStart(5, '0');
this.sccNum5 = Tle.convert6DigitToA5(omm.NORAD_CAT_ID);
this.sccNum6 = Tle.convertA5to6Digit(this.sccNum5);
this.intlDes = omm.OBJECT_ID;
const YYYY = omm.EPOCH.slice(0, 4);
const MM = omm.EPOCH.slice(5, 7);
const DD = omm.EPOCH.slice(8, 10);
const hh = omm.EPOCH.slice(11, 13);
const mm = omm.EPOCH.slice(14, 16);
const ss = omm.EPOCH.slice(17, 23);
const epochDateObj = Date.UTC(Number(YYYY), Number(MM) - 1, Number(DD), Number(hh), Number(mm), Number(ss));
const dayOfYear = (epochDateObj - Date.UTC(Number(YYYY), 0, 0)) / 86400000;
const ommParsed: OmmParsedDataFormat = {
...omm,
epoch: {
year: Number(YYYY),
month: Number(MM),
day: Number(DD),
hour: Number(hh),
minute: Number(mm),
second: Number(ss),
doy: dayOfYear,
},
};
this.epochYear = parseInt(YYYY.slice(2, 4));
this.epochDay = dayOfYear;
this.meanMoDev1 = parseFloat(omm.MEAN_MOTION_DOT);
this.meanMoDev2 = parseFloat(omm.MEAN_MOTION_DDOT);
this.bstar = parseFloat(omm.BSTAR);
this.inclination = parseFloat(omm.INCLINATION) as Degrees;
this.rightAscension = parseFloat(omm.RA_OF_ASC_NODE) as Degrees;
this.eccentricity = parseFloat(omm.ECCENTRICITY);
this.argOfPerigee = parseFloat(omm.ARG_OF_PERICENTER) as Degrees;
this.meanAnomaly = parseFloat(omm.MEAN_ANOMALY) as Degrees;
this.meanMotion = parseFloat(omm.MEAN_MOTION);
this.period = 1440 / this.meanMotion as Minutes;
this.semiMajorAxis = ((8681663.653 / this.meanMotion) ** (2 / 3)) as Kilometers;
this.semiMinorAxis = (this.semiMajorAxis * Math.sqrt(1 - this.eccentricity ** 2)) as Kilometers;
this.apogee = (this.semiMajorAxis * (1 + this.eccentricity) - 6371) as Kilometers;
this.perigee = (this.semiMajorAxis * (1 - this.eccentricity) - 6371) as Kilometers;
this.satrec = Sgp4.createSatrecFromOmm(ommParsed);
}
/**
* Checks if the object is a satellite.
* @returns True if the object is a satellite, false otherwise.
*/
override isSatellite(): boolean {
return true;
}
/**
* Returns whether the satellite is static or not.
* @returns True if the satellite is static, false otherwise.
*/
override isStatic(): boolean {
return false;
}
/**
* Checks if the given SatelliteRecord object is valid by checking if its properties are all numbers.
* @param satrec - The SatelliteRecord object to check.
* @returns True if the SatelliteRecord object is valid, false otherwise.
*/
static isValidSatrec(satrec: SatelliteRecord): boolean {
if (
isNaN(satrec.a) ||
isNaN(satrec.am) ||
isNaN(satrec.alta) ||
isNaN(satrec.em) ||
isNaN(satrec.mo) ||
isNaN(satrec.ecco) ||
isNaN(satrec.no)
) {
return false;
}
return true;
}
ageOfElset(nowInput?: Date, outputUnits: 'days' | 'hours' | 'minutes' | 'seconds' = 'days'): number {
return Tle.calcElsetAge(this, nowInput, outputUnits);
}
editTle(tle1: TleLine1, tle2: TleLine2, sccNum?: string): void {
this.parseTleAndUpdateOrbit_(tle1, tle2, sccNum);
}
/**
* Calculates the azimuth angle of the satellite relative to the given sensor at the specified date. If no date is
* provided, the current time of the satellite is used.
* @variation optimized
* @param observer - The observer's position on the ground.
* @param date - The date at which to calculate the azimuth angle. Optional, defaults to the current date.
* @returns The azimuth angle of the satellite relative to the given sensor at the specified date.
*/
az(observer: GroundObject, date: Date = new Date()): Degrees {
return (this.rae(observer, date).az * RAD2DEG) as Degrees;
}
/**
* Calculates the RAE (Range, Azimuth, Elevation) values for a given sensor and date. If no date is provided, the
* current time is used.
* @variation expanded
* @param observer - The observer's position on the ground.
* @param date - The date at which to calculate the RAE values. Optional, defaults to the current date.
* @returns The RAE values for the given sensor and date.
*/
toRae(observer: GroundObject, date: Date = new Date()): RAE {
const rae = this.rae(observer, date);
const rae2 = this.rae(observer, new Date(date.getTime() + 1000));
const epoch = new EpochUTC(date.getTime() / 1000 as Seconds);
const rangeRate = rae2.rng - rae.rng;
const azimuthRate = rae2.az - rae.az;
const elevationRate = rae2.el - rae.el;
return new RAE(
epoch,
rae.rng,
(rae.az * DEG2RAD) as Radians,
(rae.el * DEG2RAD) as Radians,
rangeRate,
azimuthRate,
elevationRate,
);
}
/**
* Calculates ECF position at a given time.
* @variation optimized
* @param date - The date at which to calculate the ECF position. Optional, defaults to the current date.
* @returns The ECF position at the specified date.
*/
ecf(date: Date = new Date()): EcfVec3<Kilometers> {
const { gmst } = Satellite.calculateTimeVariables(date);
return eci2ecf(this.eci(date).position, gmst);
}
/**
* Calculates ECI position at a given time.
* @variation optimized
* @param date - The date at which to calculate the ECI position. Optional, defaults to the current date.
* @param j - Julian date. Optional, defaults to null.
* @param gmst - Greenwich Mean Sidereal Time. Optional, defaults to null.
* @returns The ECI position at the specified date.
*/
eci(date?: Date, j?: number, gmst?: GreenwichMeanSiderealTime): PosVel<Kilometers> {
date ??= new Date();
const { m } = Satellite.calculateTimeVariables(date, this.satrec, j, gmst);
if (!m) {
throw new Error('Propagation failed!');
}
const pv = Sgp4.propagate(this.satrec, m);
if (!pv) {
throw new Error('Propagation failed!');
} else {
return pv as PosVel<Kilometers>;
}
}
/**
* Calculates the J2000 coordinates for a given date. If no date is provided, the current time is used.
* @variation expanded
* @param date - The date for which to calculate the J2000 coordinates, defaults to the current date.
* @returns The J2000 coordinates for the specified date.
* @throws Error if propagation fails.
*/
toJ2000(date: Date = new Date()): J2000 {
const { m } = Satellite.calculateTimeVariables(date, this.satrec);
if (!m) {
throw new Error('Propagation failed!');
}
const pv = Sgp4.propagate(this.satrec, m);
if (!pv.position) {
throw new Error('Propagation failed!');
} else {
const p = pv.position as EciVec3;
const v = pv.velocity as EciVec3<KilometersPerSecond>;
const epoch = new EpochUTC(date.getTime() / 1000 as Seconds);
const pos = new Vector3D(p.x, p.y, p.z);
const vel = new Vector3D(v.x, v.y, v.z);
return new J2000(epoch, pos, vel);
}
}
/**
* Returns the elevation angle of the satellite as seen by the given sensor at the specified time.
* @variation optimized
* @param observer - The observer's position on the ground.
* @param date - The date at which to calculate the elevation angle. Optional, defaults to the current date.
* @returns The elevation angle of the satellite as seen by the given sensor at the specified time.
*/
el(observer: GroundObject, date: Date = new Date()): Degrees {
return (this.rae(observer, date).el * RAD2DEG) as Degrees;
}
/**
* Calculates LLA position at a given time.
* @variation optimized
* @param date - The date at which to calculate the LLA position. Optional, defaults to the current date.
* @param j - Julian date. Optional, defaults to null.
* @param gmst - Greenwich Mean Sidereal Time. Optional, defaults to null.
* @returns The LLA position at the specified date.
*/
lla(date?: Date, j?: number, gmst?: GreenwichMeanSiderealTime):
LlaVec3<Degrees, Kilometers> {
date ??= new Date();
if (!j || !gmst) {
const timeVar = Satellite.calculateTimeVariables(date, this.satrec);
j = timeVar.j;
gmst = timeVar.gmst;
}
const pos = this.eci(date, j, gmst).position as EciVec3<Kilometers>;
const lla = eci2lla(pos, gmst);
return lla;
}
/**
* Converts the satellite's position to geodetic coordinates.
* @variation expanded
* @param date The date for which to calculate the geodetic coordinates. Defaults to the current date.
* @returns The geodetic coordinates of the satellite.
*/
toGeodetic(date: Date = new Date()): Geodetic {
return this.toJ2000(date).toITRF().toGeodetic();
}
/**
* Converts the satellite's position to the International Terrestrial Reference Frame (ITRF) at the specified date.
* If no date is provided, the current date is used.
* @variation expanded
* @param date The date for which to convert the position. Defaults to the current date.
* @returns The satellite's position in the ITRF at the specified date.
*/
toITRF(date: Date = new Date()): ITRF {
return this.toJ2000(date).toITRF();
}
/**
* Converts the current satellite's position to the Reference-Inertial-Celestial (RIC) frame
* relative to the specified reference satellite at the given date.
* @variation expanded
* @param reference The reference satellite.
* @param date The date for which to calculate the RIC frame. Defaults to the current date.
* @returns The RIC frame representing the current satellite's position relative to the reference satellite.
*/
toRIC(reference: Satellite, date: Date = new Date()): RIC {
return RIC.fromJ2000(this.toJ2000(date), reference.toJ2000(date));
}
/**
* Converts the satellite object to a TLE (Two-Line Element) object.
* @returns The TLE object representing the satellite.
*/
toTle(): Tle {
return new Tle(this.tle1, this.tle2);
}
/**
* Converts the satellite's position to classical orbital elements.
* @param date The date for which to calculate the classical elements. Defaults to the current date.
* @returns The classical orbital elements of the satellite.
*/
toClassicalElements(date: Date = new Date()): ClassicalElements {
return this.toJ2000(date).toClassicalElements();
}
/**
* Calculates the RAE (Range, Azimuth, Elevation) vector for a given sensor and time.
* @variation optimized
* @param observer - The observer's position on the ground.
* @param date - The date at which to calculate the RAE vector. Optional, defaults to the current date.
* @param j - Julian date. Optional, defaults to null.
* @param gmst - Greenwich Mean Sidereal Time. Optional, defaults to null.
* @returns The RAE vector for the given sensor and time.
*/
rae(observer: GroundObject, date?: Date, j?: number, gmst?: GreenwichMeanSiderealTime):
RaeVec3<Kilometers, Degrees> {
date ??= new Date();
gmst ??= Satellite.calculateTimeVariables(date, this.satrec).gmst;
const eci = this.eci(date, j, gmst).position;
const ecf = eci2ecf(eci, gmst);
return ecf2rae(observer, ecf);
}
/**
* Returns the range of the satellite from the given sensor at the specified time.
* @variation optimized
* @param observer - The observer's position on the ground.
* @param date - The date at which to calculate the range. Optional, defaults to the current date.
* @returns The range of the satellite from the given sensor at the specified time.
*/
rng(observer: GroundObject, date: Date = new Date()): Kilometers {
return this.rae(observer, date).rng;
}
/**
* Applies the Doppler effect to the given frequency based on the observer's position and the date.
* @param freq - The frequency to apply the Doppler effect to.
* @param observer - The observer's position on the ground.
* @param date - The date at which to calculate the Doppler effect. Optional, defaults to the current date.
* @returns The frequency after applying the Doppler effect.
*/
applyDoppler(freq: number, observer: GroundObject, date?: Date): number {
const doppler = this.dopplerFactor(observer, date);
return freq * doppler;
}
/**
* Calculates the Doppler factor for the satellite.
* @param observer The observer's ground position.
* @param date The optional date for which to calculate the Doppler factor. If not provided, the current date is used.
* @returns The calculated Doppler factor.
*/
dopplerFactor(observer: GroundObject, date?: Date): number {
const position = this.eci(date);
return dopplerFactor(observer.eci(date), position.position, position.velocity);
}
/**
* Calculates the time variables for a given date relative to the TLE epoch.
* @param date Date to calculate
* @param satrec Satellite orbital information
* @param j Julian date
* @param gmst Greenwich Mean Sidereal Time
* @returns Time variables
*/
private static calculateTimeVariables(
date: Date, satrec?: SatelliteRecord, j?: number, gmst?: GreenwichMeanSiderealTime,
) {
j ??= jday(
date.getUTCFullYear(),
date.getUTCMonth() + 1,
date.getUTCDate(),
date.getUTCHours(),
date.getUTCMinutes(),
date.getUTCSeconds(),
) + date.getUTCMilliseconds() * MILLISECONDS_TO_DAYS;
gmst ??= Sgp4.gstime(j);
const m = satrec ? (j - satrec.jdsatepoch) * MINUTES_PER_DAY : null;
return { gmst, m, j };
}
}