Files
star-map/tools/etl/fetchSolarSystem.ts
T
SenrokaiandClaude Opus 5.5 1c86584642 Carry every body's IAU rotational elements, read from NAIF's kernel of the 2015 report
bodies.json now holds, for 33 of the 38 bodies, the pole right ascension and declination and the
prime meridian W of the IAU WGCCRE 2015 report (Archinal et al. 2018), with their rates and the
periodic terms. They are read from NAIF's pck00011.tpc, which carries the report in a form a
program can read, periodic terms and their angles included. Hyperion (chaotic), Nereid, Eris,
Haumea and Makemake have no model in the report.

The parser, src/app/shared/astro/rotational-elements.ts, sits beside the other source readers so
the unit suite covers it. It reads data blocks only where \begindata stands alone on a line, as
the kernel's own prose mentions the token mid-sentence. It reads the Fortran exponent (the Moon's
-1.4D-12 d² term) and the degree-2 angles of the Mars system, where Phobos's tidal acceleration
lives. NAIF numbers a small body 2 000 000 past its catalogue number, so Ceres is 2000001.

Periodic terms under 0.01 degrees are left out. 0.01 degrees moves a point by 0.11 px on the
largest body ever drawn (Jupiter at 641 px of radius). That drops 32 terms:
- Mercury: 4 (0.0011 degrees and less)
- the Moon: 8 of 13 (0.0072 and less)
- Mars: 13 (0.00024 and less); its three 0.42-1.59 degree long-period terms stay
- Phobos: 1 (0.0063)
- Jupiter: 5 (0.0022 and less)
- Europa: 1 (0.009)
Kept, among others: Mimas's 44.85-degree libration, Triton's 32-degree precession, Miranda's 4.4
and Phobos's 1.14-degree libration.

build.ts now checks the elements against Horizons on the real catalogue:
- Every body but those five carries elements, and they do not.
- The IAU day, 360 over W's rate, is within 1e-4 of Horizons' period. Measured: at most 1.8e-5
  (Jupiter). Neptune gets a 0.01 ceiling: 0.89 per cent, because the report takes Karkoschka's
  15.9663 h where Horizons keeps Voyager's 16.11.
- The spin axis, the pole turned end for end where W runs backwards, is within 0.1 degrees of
  Horizons' obliquity. Measured: at most 0.058 (Venus, 177.358 against 177.3); Uranus 97.771,
  Pluto 119.610, Earth 23.435.
Full npm run etl passes. Three mutants each fail it on the named check:
- W's sign dropped: "Venus's IAU spin axis is 2.642 degrees".
- Ceres looked up by catalogue number: "Body ceres has no IAU rotational elements".
- W's rate read per century: "Mercury's IAU day ... 3.65e+4".

Nothing is drawn from these yet.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
2026-09-24 22:46:14 +02:00

229 lines
14 KiB
TypeScript

import { writeFileSync } from 'node:fs';
import { BodyRecord, OrbitalElements } from '../../src/app/shared/models/body.model';
import { SUN_STAR_ID } from '../../src/app/shared/models/star.model';
import { fetchHorizonsBody } from './lib/horizons';
import { MeanOrbit, parsePlanetMeanElements, parseSatelliteMeanElements, parseSmallBodyElements } from '../../src/app/shared/astro/mean-elements';
import { fetchPlanetMeanElementsText, fetchSatelliteMeanElementsHtml, fetchSmallBodyAnswer } from './lib/mean-elements';
import { MIN_PERIODIC_TERM_DEG, parsePckRotationalElements } from '../../src/app/shared/astro/rotational-elements';
import { fetchPckText } from './lib/pck';
import { dataPath, ensureDataDir } from './lib/paths';
const HOURS_PER_DAY = 24;
interface BodySpec {
id: string;
name: string;
kind: BodyRecord['kind'];
horizonsCommand: string;
center: string;
parentBodyId?: string;
/**
* Obliquity to orbit, in degrees, where the Horizons page states none. Pluto's is from the IAU
* WGCCRE 2015 pole (RA 132.99, Dec -6.16), 119.6 degrees: past 90, so it turns retrograde.
*/
obliquityDeg?: number;
/** The periapsis turns backwards; see `parseSatelliteMeanElements`. */
apsidesRegress?: boolean;
/** The pole of the planet's equator, where JPL gives its moons against that plane. */
equatorPole?: { raDeg: number; decDeg: number };
/** The Small-Body Database's name for a dwarf planet past Standish's tables: its orbit comes from there. */
sbdb?: string;
/** A measured mean radius, in km, for a body neither Horizons nor the SBDB gives one for. */
radiusKm?: number;
/** A moon that does not keep one face to its planet: its page's own spin, or none, is kept. */
spinsFreely?: boolean;
/** A moon heavy enough to move its planet round their barycentre visibly; see `BodyRecord.massRatio`. */
barycentric?: boolean;
/**
* Corrections to a row of the satellite table, each where the row disagrees with JPL's own
* Horizons ephemeris and the reason is known; see the specs that carry them.
*/
nodeOffsetDeg?: number;
epochJd?: number;
periodDays?: number;
}
/**
* The poles of the equators JPL refers Uranus's and Pluto's moons to, from the IAU WGCCRE 2015
* report, each taken at the end the table's inclinations are measured from (Titania 0.079
* degrees, Charon 0.080): the end the moons go round anticlockwise. For Pluto that is the pole
* the IAU gives, 132.993 / -6.163, which for dwarf planets follows the right-hand rule. For
* Uranus the IAU gives the other end, 257.311 / -15.175, named north because it lies on the
* ecliptic's north side; the table measures inclinations from 77.311 / 15.175 but counts its
* nodes from where the equator rises through the ICRF equator going round the IAU's pole, which
* is 180 degrees from where it rises going round this one: hence Uranus's moons' 180-degree node
* offset. Read with this pole and no offset, Ariel was 180 degrees from Horizons at every date
* from 1980 to 2100; read against the IAU's pole, anywhere from 1 to 179.
*/
const URANUS_EQUATOR_POLE = { raDeg: 77.311, decDeg: 15.175 };
const PLUTO_EQUATOR_POLE = { raDeg: 132.993, decDeg: -6.163 };
const URANUS_MOON = { kind: 'moon', center: '500@799', parentBodyId: 'uranus', equatorPole: URANUS_EQUATOR_POLE, nodeOffsetDeg: 180 } as const;
// Sun-centered planets/dwarf, then their major moons (planetocentric elements).
const BODY_SPECS: BodySpec[] = [
{ id: 'mercury', name: 'Mercury', kind: 'planet', horizonsCommand: '199', center: '500@10' },
{ id: 'venus', name: 'Venus', kind: 'planet', horizonsCommand: '299', center: '500@10' },
{ id: 'earth', name: 'Earth', kind: 'planet', horizonsCommand: '399', center: '500@10' },
{ id: 'mars', name: 'Mars', kind: 'planet', horizonsCommand: '499', center: '500@10' },
{ id: 'jupiter', name: 'Jupiter', kind: 'planet', horizonsCommand: '599', center: '500@10' },
{ id: 'saturn', name: 'Saturn', kind: 'planet', horizonsCommand: '699', center: '500@10' },
{ id: 'uranus', name: 'Uranus', kind: 'planet', horizonsCommand: '799', center: '500@10' },
{ id: 'neptune', name: 'Neptune', kind: 'planet', horizonsCommand: '899', center: '500@10' },
{ id: 'pluto', name: 'Pluto', kind: 'dwarf', horizonsCommand: '999', center: '500@10', obliquityDeg: 119.6 },
{ id: 'ceres', name: 'Ceres', kind: 'dwarf', horizonsCommand: '1;', center: '500@10', sbdb: 'Ceres' },
// Eris, Haumea and Makemake have no radius in the SBDB, the Horizons pages ("RAD= n.a.") or the
// IAU WGCCRE 2015 report, so each carries its stellar-occultation measurement. Eris: 1163 km,
// Sicardy et al. 2011 (Nature 478, 493). Haumea is triaxial, 1161 x 852 x 513 km, Ortiz et al.
// 2017 (Nature 550, 219); drawn as a sphere, at the radius of the sphere of the same volume.
// Makemake: 1434 km across its equator and 1422 across its projected pole, Brown 2013 (ApJ 767,
// L7); the same mean.
{ id: 'eris', name: 'Eris', kind: 'dwarf', horizonsCommand: '136199;', center: '500@10', sbdb: 'Eris', radiusKm: 1163 },
{ id: 'haumea', name: 'Haumea', kind: 'dwarf', horizonsCommand: '136108;', center: '500@10', sbdb: 'Haumea', radiusKm: 797.6 },
{ id: 'makemake', name: 'Makemake', kind: 'dwarf', horizonsCommand: '136472;', center: '500@10', sbdb: 'Makemake', radiusKm: 715 },
{ id: 'moon', name: 'Moon', kind: 'moon', horizonsCommand: '301', center: '500@399', parentBodyId: 'earth' },
{ id: 'phobos', name: 'Phobos', kind: 'moon', horizonsCommand: '401', center: '500@499', parentBodyId: 'mars' },
{ id: 'deimos', name: 'Deimos', kind: 'moon', horizonsCommand: '402', center: '500@499', parentBodyId: 'mars' },
{ id: 'io', name: 'Io', kind: 'moon', horizonsCommand: '501', center: '500@599', parentBodyId: 'jupiter', apsidesRegress: true },
{ id: 'europa', name: 'Europa', kind: 'moon', horizonsCommand: '502', center: '500@599', parentBodyId: 'jupiter', apsidesRegress: true },
{ id: 'ganymede', name: 'Ganymede', kind: 'moon', horizonsCommand: '503', center: '500@599', parentBodyId: 'jupiter' },
{ id: 'callisto', name: 'Callisto', kind: 'moon', horizonsCommand: '504', center: '500@599', parentBodyId: 'jupiter' },
{ id: 'mimas', name: 'Mimas', kind: 'moon', horizonsCommand: '601', center: '500@699', parentBodyId: 'saturn' },
{ id: 'enceladus', name: 'Enceladus', kind: 'moon', horizonsCommand: '602', center: '500@699', parentBodyId: 'saturn' },
{ id: 'tethys', name: 'Tethys', kind: 'moon', horizonsCommand: '603', center: '500@699', parentBodyId: 'saturn' },
{ id: 'dione', name: 'Dione', kind: 'moon', horizonsCommand: '604', center: '500@699', parentBodyId: 'saturn' },
{ id: 'rhea', name: 'Rhea', kind: 'moon', horizonsCommand: '605', center: '500@699', parentBodyId: 'saturn' },
{ id: 'titan', name: 'Titan', kind: 'moon', horizonsCommand: '606', center: '500@699', parentBodyId: 'saturn' },
// Hyperion tumbles ("Rotational period = Chaotic") and Phoebe, captured, turns in 9.27 hours.
{ id: 'hyperion', name: 'Hyperion', kind: 'moon', horizonsCommand: '607', center: '500@699', parentBodyId: 'saturn', spinsFreely: true },
{ id: 'iapetus', name: 'Iapetus', kind: 'moon', horizonsCommand: '608', center: '500@699', parentBodyId: 'saturn' },
// Phoebe's row gives a mean motion of 0.6569114 degrees a day, a 548.02-day year, where its
// Horizons page and JPL's current table (SAT441) give 550.30: the table's own note warns that
// its source misstated the mean motions of retrograde moons. On the row's figure Phoebe was
// 25 degrees from Horizons by 2025 and 100 by 2075; on the current period, within 2.0 from 1980
// to 2100.
{ id: 'phoebe', name: 'Phoebe', kind: 'moon', horizonsCommand: '609', center: '500@699', parentBodyId: 'saturn', spinsFreely: true, periodDays: 550.30391 },
{ id: 'miranda', name: 'Miranda', horizonsCommand: '705', ...URANUS_MOON },
{ id: 'ariel', name: 'Ariel', horizonsCommand: '701', ...URANUS_MOON },
{ id: 'umbriel', name: 'Umbriel', horizonsCommand: '702', ...URANUS_MOON },
{ id: 'titania', name: 'Titania', horizonsCommand: '703', ...URANUS_MOON },
{ id: 'oberon', name: 'Oberon', horizonsCommand: '704', ...URANUS_MOON },
{ id: 'triton', name: 'Triton', kind: 'moon', horizonsCommand: '801', center: '500@899', parentBodyId: 'neptune' },
// Nereid's eccentric orbit, 0.75, cannot hold a face to Neptune; its page states no spin.
{ id: 'nereid', name: 'Nereid', kind: 'moon', horizonsCommand: '802', center: '500@899', parentBodyId: 'neptune', spinsFreely: true },
{ id: 'proteus', name: 'Proteus', kind: 'moon', horizonsCommand: '808', center: '500@899', parentBodyId: 'neptune' },
// Pluto's section prints its epoch as 2000 Jan 1.0; JPL's current table gives Charon's as
// 2000-01-01.5, and read at 1.0 Charon sat 27.8 to 28.2 degrees — half a day of its motion is
// 28.2 — from Horizons at every date from 1980 to 2100. At 1.5 it is within 0.4.
{ id: 'charon', name: 'Charon', kind: 'moon', horizonsCommand: '901', center: '500@999', parentBodyId: 'pluto', equatorPole: PLUTO_EQUATOR_POLE, epochJd: 2451545.0, barycentric: true }
];
/** The moons whose day is not their orbit; `build.ts` holds every other moon to its lock. */
export const FREELY_SPINNING_MOONS = new Set(BODY_SPECS.filter((spec) => spec.spinsFreely).map((spec) => spec.id));
/**
* Writes `bodies.json` for the major planets, the five dwarf planets, and every moon in JPL's
* mean-element table more than 100 km in mean radius — Phoebe, at 106.6, the smallest: JPL's
* mean orbital elements for where they go, or the SBDB's osculating ones where there are none,
* JPL Horizons for their size and spin, and the IAU's rotational elements for where their poles
* point and which face is where. Horizons' osculating elements for the same date come back
* alongside, for `build.ts` to check the mean ones against.
*/
export async function fetchSolarSystem(): Promise<{ bodies: BodyRecord[]; horizonsOrbits: Map<string, OrbitalElements> }> {
console.log(`Fetching ${BODY_SPECS.length} solar-system bodies from JPL (mean elements, Horizons, NAIF's PCK)...`);
const bodies: BodyRecord[] = [];
const horizonsOrbits = new Map<string, OrbitalElements>();
const planetElements = await fetchPlanetMeanElementsText();
const satelliteElements = await fetchSatelliteMeanElementsHtml();
const pck = await fetchPckText();
const gmById = new Map<string, number | undefined>();
for (const spec of BODY_SPECS) {
const result = await fetchHorizonsBody({
command: spec.horizonsCommand,
center: spec.center,
cacheKey: `horizons-${spec.id}.txt`
});
horizonsOrbits.set(spec.id, result.orbit);
gmById.set(spec.id, result.gmKm3PerS2);
const parentName = BODY_SPECS.find((candidate) => candidate.id === spec.parentBodyId)?.name;
const smallBody = spec.sbdb ? parseSmallBodyElements(await fetchSmallBodyAnswer(spec.sbdb, `sbdb-${spec.id}.json`)) : undefined;
const read: MeanOrbit =
smallBody ??
(parentName
? parseSatelliteMeanElements(satelliteElements, parentName, spec.name, spec.apsidesRegress ?? false, spec.equatorPole)
: parsePlanetMeanElements(planetElements, spec.id));
const mean: MeanOrbit = {
...read,
orbit: {
...read.orbit,
longitudeOfAscendingNodeDeg: read.orbit.longitudeOfAscendingNodeDeg + (spec.nodeOffsetDeg ?? 0),
epochJd: spec.epochJd ?? read.orbit.epochJd
},
rates: spec.periodDays ? { ...read.rates, meanMotionDegPerDay: 360 / spec.periodDays } : read.rates
};
const radiusKm = smallBody?.radiusKm ?? spec.radiusKm ?? result.radiusKm;
if (radiusKm === undefined) {
console.warn(` no physical radius found for ${spec.name}; defaulting to 0.`);
}
// A moon listed here is tidally locked unless its spec says otherwise, so its day is its
// orbit: the sidereal period from the same mean motion that carries it round, which keeps one
// face towards the parent however long the clock runs. Not every page says so — the Moon's
// gives a rate, Titan's and Proteus's nothing. The Kepler period of the osculating orbit this
// used to take, 27.70 days for the Moon, would now turn its face five degrees an orbit away
// from the orbit it is drawn on.
const rotationPeriodHours = result.tidallyLocked || (spec.kind === 'moon' && !spec.spinsFreely)
? (360 / mean.rates.meanMotionDegPerDay) * HOURS_PER_DAY
: smallBody
? smallBody.rotationPeriodHours
: result.rotationPeriodHours;
const parentGm = spec.barycentric && spec.parentBodyId ? gmById.get(spec.parentBodyId) : undefined;
if (spec.barycentric && (result.gmKm3PerS2 === undefined || parentGm === undefined)) {
throw new Error(`${spec.name} and its planet need a GM each to place their barycentre.`);
}
if (rotationPeriodHours === undefined) {
console.warn(` no rotation period found for ${spec.name}; it will not turn.`);
}
// NAIF numbers a small body 2 000 000 past its catalogue number: Ceres, "1;" to Horizons, is 2000001.
const naifId = spec.horizonsCommand.endsWith(';') ? 2_000_000 + Number.parseInt(spec.horizonsCommand, 10) : Number(spec.horizonsCommand);
const rotation = parsePckRotationalElements(pck, naifId);
if (!rotation) {
console.warn(` no IAU rotational elements for ${spec.name}; its pole and meridian are not known.`);
} else if (rotation.skippedDeg.length > 0) {
console.log(` ${spec.name}: ${rotation.skippedDeg.length} periodic terms under ${MIN_PERIODIC_TERM_DEG} degrees left out, the largest ${Math.max(...rotation.skippedDeg)}.`);
}
bodies.push({
id: spec.id,
systemStarId: SUN_STAR_ID,
name: spec.name,
kind: spec.kind,
radiusKm: radiusKm ?? 0,
orbit: mean.orbit,
rates: mean.rates,
...(mean.laplacePole ? { laplacePole: mean.laplacePole } : {}),
orbitSource: mean.orbitSource,
...(spec.parentBodyId ? { parentBodyId: spec.parentBodyId } : {}),
...(parentGm !== undefined ? { massRatio: result.gmKm3PerS2! / parentGm } : {}),
...(rotationPeriodHours !== undefined ? { rotationPeriodHours } : {}),
...((result.obliquityDeg ?? spec.obliquityDeg) !== undefined ? { obliquityDeg: result.obliquityDeg ?? spec.obliquityDeg } : {}),
...(rotation ? { rotationalElements: rotation.elements } : {})
});
}
ensureDataDir();
writeFileSync(dataPath('bodies.json'), JSON.stringify(bodies, null, 2));
console.log(` wrote ${bodies.length} bodies.`);
return { bodies, horizonsOrbits };
}
if (require.main === module) {
fetchSolarSystem().catch((error) => {
console.error(error);
process.exitCode = 1;
});
}