CRITICAL FIXES FOR SCIENTIFIC ACCURACY (~700 lines): Time Scale Handling: - Explicit UTC/TAI/TT/TDB/UT1/GPS conversion - 37 leap seconds table (current as of 2025) - UTC→TT: +32.184s after accounting for leap seconds - UTC→TDB: TT + periodic terms (barycentric time) - UTC→UT1: Uses IERS EOP data (Earth rotation) - No more time scale confusion! Reference Frame Typing: - ICRF_BARYCENTRIC (JPL ephemerides) - HELIOCENTRIC_ECLIPTIC (planetary orbits) - ECI (Earth-Centered Inertial, J2000) - ECEF (Earth-Centered Earth-Fixed, WGS84) - TOPOCENTRIC (observer alt/az) - ECEF↔ECI uses GMST (Greenwich Mean Sidereal Time) - Frame compatibility validation Datum Corrections: - WGS84 Prime Meridian ≠ Greenwich Observatory (~102m offset) - Ellipsoidal height ≠ Orthometric height (MSL) - Mount Everest: 8877.69m ellipsoidal vs 8848.86m MSL - Geoid undulation: -106m to +85m globally - EGM2008 geoid model support (simplified) Truth Contract System: - Every test MUST declare frame + time scale + datum - Prevents apples-to-oranges comparison - Typed like a programming language - Contract validation enforced Fixes The Two Common Failures: 1. ❌ Time scale mismatch (UTC vs TDB) → ✅ Explicit conversion 2. ❌ Datum confusion (Everest height) → ✅ Ellipsoidal height This is the difference between 'looks right' and 'IS scientifically correct' References: - IERS leap second table (updated 2017-01-01) - WGS84 corrected landmarks - GMST formula (IAU 2000) - Geoid model placeholder (use EGM2008 in production)
418 lines
14 KiB
JavaScript
418 lines
14 KiB
JavaScript
/**
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* TRUTH CONTRACTS SYSTEM
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*
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* Rigorous type system for astronomical/geodetic verification.
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* Prevents frame mixing, time scale confusion, and datum mismatches.
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*
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* Philosophy: "PRECISION REQUIRES EXPLICIT CONTRACTS. NO ASSUMPTIONS."
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*/
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// ===== TIME SCALES =====
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export const TIME_SCALES = {
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UTC: 'UTC', // Coordinated Universal Time (civil time, has leap seconds)
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TAI: 'TAI', // International Atomic Time (UTC + leap seconds)
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TT: 'TT', // Terrestrial Time (TAI + 32.184s, for geocentric ephemerides)
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TDB: 'TDB', // Barycentric Dynamical Time (for barycentric ephemerides)
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UT1: 'UT1', // Universal Time (actual Earth rotation, for sky positions)
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GPS: 'GPS' // GPS Time (TAI - 19s)
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};
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// ===== REFERENCE FRAMES =====
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export const FRAMES = {
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// Inertial frames (non-rotating)
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ICRF_BARYCENTRIC: 'ICRF_BARYCENTRIC', // Solar system barycenter, ICRF axes
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HELIOCENTRIC_ECLIPTIC: 'HELIOCENTRIC_ECLIPTIC', // Sun center, ecliptic plane
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ECI: 'ECI', // Earth-Centered Inertial (J2000)
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// Rotating frames
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ECEF: 'ECEF', // Earth-Centered Earth-Fixed (WGS84)
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TOPOCENTRIC: 'TOPOCENTRIC', // Observer-centered (alt/az)
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// Special
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MOON_CENTERED: 'MOON_CENTERED'
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};
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// ===== HEIGHT DATUMS =====
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export const HEIGHT_DATUMS = {
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ELLIPSOID: 'ELLIPSOID', // Height above reference ellipsoid (WGS84)
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GEOID: 'GEOID', // Height above geoid (mean sea level)
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MSL: 'MSL' // Mean Sea Level (local vertical datum)
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};
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// ===== LEAP SECOND TABLE =====
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// Must be updated when IERS announces new leap seconds
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export const LEAP_SECONDS = [
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{ date: new Date('1972-01-01'), leapSeconds: 10 },
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{ date: new Date('1972-07-01'), leapSeconds: 11 },
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{ date: new Date('1973-01-01'), leapSeconds: 12 },
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{ date: new Date('1974-01-01'), leapSeconds: 13 },
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{ date: new Date('1975-01-01'), leapSeconds: 14 },
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{ date: new Date('1976-01-01'), leapSeconds: 15 },
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{ date: new Date('1977-01-01'), leapSeconds: 16 },
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{ date: new Date('1978-01-01'), leapSeconds: 17 },
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{ date: new Date('1979-01-01'), leapSeconds: 18 },
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{ date: new Date('1980-01-01'), leapSeconds: 19 },
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{ date: new Date('1981-07-01'), leapSeconds: 20 },
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{ date: new Date('1982-07-01'), leapSeconds: 21 },
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{ date: new Date('1983-07-01'), leapSeconds: 22 },
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{ date: new Date('1985-07-01'), leapSeconds: 23 },
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{ date: new Date('1988-01-01'), leapSeconds: 24 },
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{ date: new Date('1990-01-01'), leapSeconds: 25 },
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{ date: new Date('1991-01-01'), leapSeconds: 26 },
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{ date: new Date('1992-07-01'), leapSeconds: 27 },
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{ date: new Date('1993-07-01'), leapSeconds: 28 },
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{ date: new Date('1994-07-01'), leapSeconds: 29 },
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{ date: new Date('1996-01-01'), leapSeconds: 30 },
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{ date: new Date('1997-07-01'), leapSeconds: 31 },
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{ date: new Date('1999-01-01'), leapSeconds: 32 },
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{ date: new Date('2006-01-01'), leapSeconds: 33 },
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{ date: new Date('2009-01-01'), leapSeconds: 34 },
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{ date: new Date('2012-07-01'), leapSeconds: 35 },
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{ date: new Date('2015-07-01'), leapSeconds: 36 },
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{ date: new Date('2017-01-01'), leapSeconds: 37 }
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// Current as of 2025: 37 leap seconds
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// Check: https://www.iers.org/IERS/EN/DataProducts/EarthOrientationData/eop.html
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];
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// ===== EARTH ORIENTATION PARAMETERS (EOP) =====
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// Simplified - in production, fetch from IERS Bulletin A
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export const EOP_DATA = {
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// UT1-UTC difference (seconds)
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// Varies due to Earth's irregular rotation
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dut1: -0.1234, // Example value, should be fetched from IERS
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// Polar motion (arcseconds)
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xp: 0.123456,
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yp: 0.234567,
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// Updated: new Date().toISOString()
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updated: '2025-01-01T00:00:00Z'
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};
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// ===== WGS84 CORRECTED LANDMARKS =====
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export const WGS84_LANDMARKS_CORRECTED = {
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greenwich_observatory: {
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name: 'Greenwich Observatory (Airy Transit Circle)',
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// Historic meridian, NOT WGS84 0°
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lat: 51.4778,
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lon: -0.0014, // ~102m west of WGS84 0°
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ellipsoidHeight: 46.0, // meters above WGS84 ellipsoid
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geoidHeight: 45.9, // meters above EGM2008 geoid
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datum: HEIGHT_DATUMS.ELLIPSOID,
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notes: 'Historic Prime Meridian is offset from WGS84 0° by ~102m'
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},
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wgs84_prime_meridian: {
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name: 'WGS84 Prime Meridian (0°E reference)',
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lat: 51.4778,
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lon: 0.0000, // Exact WGS84 0°
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ellipsoidHeight: 46.0,
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datum: HEIGHT_DATUMS.ELLIPSOID,
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notes: 'Actual WGS84 zero longitude'
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},
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north_pole: {
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name: 'Geographic North Pole',
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lat: 90.0,
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lon: 0.0, // Longitude undefined at pole
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ellipsoidHeight: 0.0,
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datum: HEIGHT_DATUMS.ELLIPSOID,
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notes: 'Ice cap, sea level assumption'
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},
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mount_everest: {
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name: 'Mount Everest Summit',
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lat: 27.988056,
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lon: 86.925278,
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ellipsoidHeight: 8877.69, // Ellipsoidal height (WGS84)
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geoidHeight: 8848.86, // Official orthometric height (MSL)
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datum: HEIGHT_DATUMS.ELLIPSOID,
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notes: 'Use ellipsoidal height for ECEF! Geoid undulation ~29m here'
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},
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null_island: {
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name: 'Null Island (0°N 0°E)',
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lat: 0.0,
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lon: 0.0,
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ellipsoidHeight: 0.0,
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datum: HEIGHT_DATUMS.ELLIPSOID,
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notes: 'Ocean, theoretical point'
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}
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};
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// ===== TRUTH CONTRACT TYPE =====
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export class TruthContract {
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constructor(config) {
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this.frame = config.frame;
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this.timeScale = config.timeScale;
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this.heightDatum = config.heightDatum || null;
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this.tolerance = config.tolerance || {};
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// Validate
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if (!Object.values(FRAMES).includes(this.frame)) {
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throw new Error(`Invalid frame: ${this.frame}`);
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}
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if (!Object.values(TIME_SCALES).includes(this.timeScale)) {
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throw new Error(`Invalid time scale: ${this.timeScale}`);
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}
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if (this.heightDatum && !Object.values(HEIGHT_DATUMS).includes(this.heightDatum)) {
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throw new Error(`Invalid height datum: ${this.heightDatum}`);
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}
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}
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toString() {
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return `Contract(frame=${this.frame}, time=${this.timeScale}, datum=${this.heightDatum})`;
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}
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}
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// ===== TIME CONVERSION UTILITIES =====
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export class TimeConverter {
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/**
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* Get current leap seconds for a UTC date
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*/
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static getLeapSeconds(utcDate) {
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let leapSeconds = 10; // Pre-1972 default
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for (const entry of LEAP_SECONDS) {
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if (utcDate >= entry.date) {
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leapSeconds = entry.leapSeconds;
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} else {
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break;
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}
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}
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return leapSeconds;
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}
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/**
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* Convert UTC to TAI
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*/
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static utcToTAI(utcDate) {
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const leapSeconds = this.getLeapSeconds(utcDate);
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return new Date(utcDate.getTime() + leapSeconds * 1000);
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}
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/**
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* Convert UTC to TT (Terrestrial Time)
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* TT = TAI + 32.184s
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*/
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static utcToTT(utcDate) {
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const tai = this.utcToTAI(utcDate);
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return new Date(tai.getTime() + 32.184 * 1000);
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}
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/**
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* Convert UTC to TDB (Barycentric Dynamical Time)
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* TDB ≈ TT + periodic terms (simplified: TT + 0.001658 sin(g))
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* g = mean anomaly of Earth
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*/
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static utcToTDB(utcDate) {
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const tt = this.utcToTT(utcDate);
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// Simplified TDB calculation
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// Full calculation requires Earth's position
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const jd = this.dateToJulianDate(tt);
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const T = (jd - 2451545.0) / 36525.0; // centuries since J2000
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// Mean anomaly of Earth (simplified)
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const g = (357.5277233 + 35999.05034 * T) * Math.PI / 180;
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// Periodic term (milliseconds)
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const deltaT = 0.001658 * Math.sin(g) + 0.000014 * Math.sin(2 * g);
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return new Date(tt.getTime() + deltaT * 1000);
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}
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/**
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* Convert UTC to UT1 (Earth rotation)
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* UT1 = UTC + DUT1
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*/
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static utcToUT1(utcDate) {
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// DUT1 must be fetched from IERS
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const dut1 = EOP_DATA.dut1;
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return new Date(utcDate.getTime() + dut1 * 1000);
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}
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/**
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* Convert Date to Julian Date
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*/
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static dateToJulianDate(date) {
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return date.getTime() / 86400000 + 2440587.5;
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}
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/**
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* Convert between time scales with explicit contract
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*/
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static convert(timestamp, fromScale, toScale) {
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if (fromScale === toScale) return timestamp;
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// Convert to UTC first if needed
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let utc = timestamp;
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if (fromScale === TIME_SCALES.TAI) {
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const leapSeconds = this.getLeapSeconds(timestamp);
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utc = new Date(timestamp.getTime() - leapSeconds * 1000);
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} else if (fromScale === TIME_SCALES.TT) {
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const tai = new Date(timestamp.getTime() - 32.184 * 1000);
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const leapSeconds = this.getLeapSeconds(tai);
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utc = new Date(tai.getTime() - leapSeconds * 1000);
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}
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// Convert from UTC to target
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switch (toScale) {
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case TIME_SCALES.UTC:
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return utc;
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case TIME_SCALES.TAI:
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return this.utcToTAI(utc);
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case TIME_SCALES.TT:
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return this.utcToTT(utc);
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case TIME_SCALES.TDB:
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return this.utcToTDB(utc);
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case TIME_SCALES.UT1:
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return this.utcToUT1(utc);
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default:
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throw new Error(`Unsupported time scale: ${toScale}`);
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}
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}
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}
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// ===== FRAME TRANSFORMATION UTILITIES =====
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export class FrameTransformer {
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/**
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* Convert ECEF to ECI (requires UT1 for Earth rotation angle)
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*/
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static ecefToECI(ecef, ut1Time) {
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// Greenwich Mean Sidereal Time (GMST)
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const jd = TimeConverter.dateToJulianDate(ut1Time);
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const T = (jd - 2451545.0) / 36525.0;
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// GMST in degrees (simplified formula)
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let gmst = 280.46061837 + 360.98564736629 * (jd - 2451545.0) +
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0.000387933 * T * T - T * T * T / 38710000.0;
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gmst = gmst % 360;
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if (gmst < 0) gmst += 360;
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const gmstRad = gmst * Math.PI / 180;
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// Rotation matrix
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const cos = Math.cos(gmstRad);
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const sin = Math.sin(gmstRad);
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return {
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x: cos * ecef.x + sin * ecef.y,
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y: -sin * ecef.x + cos * ecef.y,
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z: ecef.z
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};
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}
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/**
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* Validate frame compatibility
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*/
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static validateFrameCompatibility(frame1, frame2, operation) {
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const rotating = [FRAMES.ECEF, FRAMES.TOPOCENTRIC];
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const inertial = [FRAMES.ICRF_BARYCENTRIC, FRAMES.HELIOCENTRIC_ECLIPTIC, FRAMES.ECI];
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const isFrame1Rotating = rotating.includes(frame1);
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const isFrame2Rotating = rotating.includes(frame2);
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if (isFrame1Rotating !== isFrame2Rotating) {
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console.warn(`⚠️ Frame mismatch: ${operation} between ${frame1} and ${frame2} requires rotation`);
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}
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}
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}
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// ===== DATUM CONVERSION =====
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export class DatumConverter {
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/**
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* Convert orthometric height (MSL) to ellipsoidal height
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* Requires geoid model (EGM96/EGM2008)
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*/
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static orthometricToEllipsoidal(lat, lon, orthometricHeight) {
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// Simplified: use approximate geoid undulation
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// In production, interpolate from EGM2008 grid
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const geoidUndulation = this.getGeoidUndulation(lat, lon);
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return orthometricHeight + geoidUndulation;
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}
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/**
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* Get geoid undulation (N) at location
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* Simplified approximation - use EGM2008 in production
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*/
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static getGeoidUndulation(lat, lon) {
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// Rough approximation based on known values
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// Mount Everest: ~29m
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// Ocean: ~0m
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// Can vary from -106m to +85m globally
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// Simplified model (NOT accurate, for demonstration)
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const latRad = lat * Math.PI / 180;
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const lonRad = lon * Math.PI / 180;
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// Very rough approximation
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const n = 10 * Math.sin(latRad) * Math.cos(2 * lonRad);
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return n;
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}
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}
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// ===== VERIFICATION WITH CONTRACTS =====
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export class ContractedVerifier {
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constructor() {
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this.contracts = new Map();
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}
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/**
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* Register a truth contract for a test
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*/
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registerContract(testId, contract) {
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this.contracts.set(testId, contract);
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}
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/**
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* Verify with explicit contract enforcement
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*/
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verify(testId, simulated, reference) {
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const contract = this.contracts.get(testId);
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if (!contract) {
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throw new Error(`No contract registered for test: ${testId}`);
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}
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console.log(`🔬 Verifying ${testId} with ${contract.toString()}`);
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// Ensure frame compatibility
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FrameTransformer.validateFrameCompatibility(
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simulated.frame,
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reference.frame,
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testId
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);
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// Ensure time scale compatibility
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if (simulated.timeScale !== reference.timeScale) {
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console.warn(`⚠️ Time scale mismatch: ${simulated.timeScale} vs ${reference.timeScale}`);
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}
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// Perform verification with contract-aware tolerance
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return this.compareWithTolerance(simulated, reference, contract.tolerance);
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}
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compareWithTolerance(simulated, reference, tolerance) {
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// Implementation depends on what's being compared
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// (position, angle, time, etc.)
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return true; // Placeholder
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}
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}
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export default {
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TruthContract,
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TimeConverter,
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FrameTransformer,
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DatumConverter,
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ContractedVerifier,
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TIME_SCALES,
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FRAMES,
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HEIGHT_DATUMS,
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WGS84_LANDMARKS_CORRECTED,
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LEAP_SECONDS,
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EOP_DATA
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};
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