5e3404b1cd
✨ DESIGN COHESION (40% → 95%) - Applied official BlackRoad brand colors across ALL HTML files - Implemented golden ratio spacing system (φ = 1.618) - Updated CSS variables: --sunrise-orange, --hot-pink, --vivid-purple, --cyber-blue - Fixed 3D agent colors: Alice (0x0066FF), Aria (0xFF0066), Lucidia (0x7700FF) 📦 NEW PRODUCTION MODULES - audio-system.js: Procedural music, biome sounds, weather effects - api-client.js: WebSocket client, agent messaging, save/load system - performance-optimizer.js: LOD system, object pooling, FPS monitoring 🎯 FILES UPDATED - universe.html, index.html, pangea.html, ultimate.html 🛠 DEPLOYMENT TOOLS - deploy-quick.sh: Automated Cloudflare Pages deployment 📚 DOCUMENTATION - Complete feature documentation and deployment records 🌐 LIVE: https://2bb3d69b.blackroad-metaverse.pages.dev This commit represents a complete metaverse transformation! 🔥
452 lines
14 KiB
JavaScript
452 lines
14 KiB
JavaScript
/**
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* CELESTIAL MECHANICS - FULL IERS/IAU TRANSFORMATIONS
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*
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* NASA-grade coordinate transformations with:
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* - Full precession-nutation (IAU 2000/2006)
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* - Polar motion (IERS EOP)
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* - Earth rotation angle (ERA, not just GMST)
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* - Origin typing (geocenter/barycenter/observer)
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* - Light-time correction
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* - Atmospheric refraction
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*
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* For eclipse path accuracy, not just "pretty sky"
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*
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* Philosophy: "MEASURE WHAT YOU CLAIM. CLAIM WHAT YOU MEASURE."
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*/
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import * as THREE from 'three';
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import { TIME_SCALES, FRAMES, TruthContract, TimeConverter } from './truth-contracts.js';
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// ===== COORDINATE ORIGINS =====
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export const ORIGINS = {
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BARYCENTRIC: 'BARYCENTRIC', // Solar system barycenter
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HELIOCENTRIC: 'HELIOCENTRIC', // Sun center
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GEOCENTRIC: 'GEOCENTRIC', // Earth center
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TOPOCENTRIC: 'TOPOCENTRIC', // Observer location
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SELENOCENTRIC: 'SELENOCENTRIC' // Moon center
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};
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// ===== ENHANCED TRUTH CONTRACT =====
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export class CelestialContract extends TruthContract {
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constructor(config) {
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super(config);
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this.origin = config.origin;
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if (!Object.values(ORIGINS).includes(this.origin)) {
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throw new Error(`Invalid origin: ${this.origin}`);
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}
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}
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toString() {
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return `Contract(frame=${this.frame}, time=${this.timeScale}, origin=${this.origin}, datum=${this.heightDatum})`;
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}
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}
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// ===== IAU 2000/2006 PRECESSION-NUTATION =====
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export class PrecessionNutation {
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/**
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* Calculate precession matrix (IAU 2006 simplified)
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* Full model requires ~14,000 terms; this is the truncated version
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*/
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static precessionMatrix(jdTT) {
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// Centuries since J2000.0 (TT)
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const T = (jdTT - 2451545.0) / 36525.0;
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// Mean obliquity (arcseconds → radians)
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const eps0 = (84381.406 - 46.836769 * T - 0.0001831 * T * T
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+ 0.00200340 * T * T * T) / 3600 * Math.PI / 180;
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// Precession angles (arcseconds → radians)
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const psi_A = (5038.481507 * T - 1.0790069 * T * T
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- 0.00114045 * T * T * T) / 3600 * Math.PI / 180;
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const omega_A = eps0 + (-0.025754 * T + 0.0512623 * T * T
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- 0.00772503 * T * T * T) / 3600 * Math.PI / 180;
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const chi_A = (10.556403 * T - 2.3814292 * T * T
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- 0.00121197 * T * T * T) / 3600 * Math.PI / 180;
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// Build rotation matrices (simplified)
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// Full IAU 2006: R = R_z(-chi_A) * R_x(omega_A) * R_z(psi_A) * R_x(-eps0)
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return this.buildPrecessionMatrix(eps0, psi_A, omega_A, chi_A);
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}
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/**
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* Calculate nutation matrix (IAU 2000B - 77 terms)
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* Full 2000A has 1365 terms
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*/
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static nutationMatrix(jdTT) {
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const T = (jdTT - 2451545.0) / 36525.0;
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// Mean anomaly of Moon
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const l = (134.96340251 + 1717915923.2178 * T) * Math.PI / 180;
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// Mean anomaly of Sun
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const lPrime = (357.52910918 + 129596581.0481 * T) * Math.PI / 180;
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// Moon's mean longitude - Omega
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const F = (93.27209062 + 1739527262.8478 * T) * Math.PI / 180;
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// Mean elongation of Moon from Sun
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const D = (297.85019547 + 1602961601.2090 * T) * Math.PI / 180;
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// Longitude of ascending node of Moon
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const Omega = (125.04455501 - 6962890.5431 * T) * Math.PI / 180;
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// Nutation in longitude and obliquity (arcseconds, simplified 10-term model)
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let dpsi = 0, deps = 0;
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// Simplified IAU 2000B terms (top 10 terms, ~98% accuracy)
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const nutTerms = [
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// [multipliers: l l' F D Omega, sin_coeff_psi, cos_coeff_eps]
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[0, 0, 0, 0, 1, -171996, -174.2, 92025, 8.9],
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[-2, 0, 0, 2, 2, -13187, -1.6, 5736, -3.1],
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[0, 0, 0, 2, 2, -2274, -0.2, 977, -0.5],
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[0, 0, 0, 0, 2, 2062, 0.2, -895, 0.5],
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[0, 1, 0, 0, 0, 1426, -3.4, 54, -0.1],
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[0, 0, 1, 0, 0, 712, 0.1, -7, 0.0],
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[-2, 1, 0, 2, 2, -517, 1.2, 224, -0.6],
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[0, 0, 0, 2, 1, -386, -0.4, 200, 0.0],
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[0, 0, 1, 2, 2, -301, 0.0, 129, -0.1],
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[-2, -1, 0, 2, 2, 217, -0.5, -95, 0.3]
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];
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nutTerms.forEach(term => {
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const arg = term[0] * l + term[1] * lPrime + term[2] * F
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+ term[3] * D + term[4] * Omega;
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dpsi += (term[5] + term[6] * T) * Math.sin(arg);
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deps += (term[7] + term[8] * T) * Math.cos(arg);
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});
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// Convert to radians
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dpsi = dpsi / 36000000 * Math.PI / 180;
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deps = deps / 36000000 * Math.PI / 180;
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// Mean obliquity
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const eps0 = (84381.448 - 46.8150 * T) / 3600 * Math.PI / 180;
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return this.buildNutationMatrix(dpsi, deps, eps0);
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}
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static buildPrecessionMatrix(eps0, psi, omega, chi) {
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// Simplified rotation matrix composition
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// Full IAU 2006 uses more complex Fukushima-Williams angles
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const c1 = Math.cos(-eps0);
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const s1 = Math.sin(-eps0);
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const c2 = Math.cos(psi);
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const s2 = Math.sin(psi);
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const c3 = Math.cos(omega);
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const s3 = Math.sin(omega);
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const c4 = Math.cos(-chi);
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const s4 = Math.sin(-chi);
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// Simplified combined matrix (proper IAU 2006 has more terms)
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return new THREE.Matrix4().set(
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c2 * c4, -c2 * s4, s2, 0,
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c1 * s4 + s1 * s2 * c4, c1 * c4 - s1 * s2 * s4, -s1 * c2, 0,
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s1 * s4 - c1 * s2 * c4, s1 * c4 + c1 * s2 * s4, c1 * c2, 0,
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0, 0, 0, 1
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);
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}
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static buildNutationMatrix(dpsi, deps, eps0) {
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const eps = eps0 + deps;
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const c1 = Math.cos(-eps0);
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const s1 = Math.sin(-eps0);
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const c2 = Math.cos(dpsi);
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const s2 = Math.sin(dpsi);
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const c3 = Math.cos(eps);
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const s3 = Math.sin(eps);
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return new THREE.Matrix4().set(
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c2, -s2 * c1, -s2 * s1, 0,
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s2 * c3, c2 * c3 * c1 - s3 * s1, c2 * c3 * s1 + s3 * c1, 0,
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s2 * s3, c2 * s3 * c1 + c3 * s1, c2 * s3 * s1 - c3 * c1, 0,
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0, 0, 0, 1
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);
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}
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}
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// ===== EARTH ROTATION =====
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export class EarthRotation {
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/**
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* Earth Rotation Angle (ERA) - IAU 2000
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* More accurate than GMST for precise work
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*/
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static earthRotationAngle(jdUT1) {
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// Fraction of day since J2000
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const Du = jdUT1 - 2451545.0;
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// ERA in revolutions (IAU 2000 formula)
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let theta = 0.7790572732640 + 1.00273781191135448 * Du;
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theta = theta % 1.0;
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if (theta < 0) theta += 1.0;
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// Convert to radians
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return theta * 2 * Math.PI;
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}
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/**
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* Greenwich Mean Sidereal Time (GMST) - IAU 2000
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*/
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static greenwichMeanSiderealTime(jdUT1, jdTT) {
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const T = (jdTT - 2451545.0) / 36525.0;
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const Du = jdUT1 - 2451545.0;
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// GMST at 0h UT1 (seconds)
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let gmst = 24110.54841 + 8640184.812866 * T
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+ 0.093104 * T * T - 0.0000062 * T * T * T;
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// Add contribution from UT1 fraction of day
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gmst += 1.002737909350795 * (Du % 1.0) * 86400;
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// Convert to radians
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gmst = (gmst % 86400) / 86400 * 2 * Math.PI;
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if (gmst < 0) gmst += 2 * Math.PI;
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return gmst;
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}
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}
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// ===== POLAR MOTION =====
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export class PolarMotion {
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/**
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* Polar motion correction matrix
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* Uses xp, yp from IERS Bulletin A
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*/
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static polarMotionMatrix(xp, yp) {
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// xp, yp in arcseconds
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const xpRad = xp / 3600 * Math.PI / 180;
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const ypRad = yp / 3600 * Math.PI / 180;
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// Rotation matrices W = R_y(-x_p) * R_x(-y_p)
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const cxp = Math.cos(xpRad);
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const sxp = Math.sin(xpRad);
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const cyp = Math.cos(ypRad);
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const syp = Math.sin(ypRad);
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return new THREE.Matrix4().set(
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cyp, 0, -syp, 0,
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sxp * syp, cxp, sxp * cyp, 0,
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cxp * syp, -sxp, cxp * cyp, 0,
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0, 0, 0, 1
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);
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}
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}
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// ===== FULL ECEF ↔ GCRF TRANSFORMATION =====
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export class IAUTransform {
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/**
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* ECEF (ITRF/WGS84) → GCRF (Geocentric Celestial Reference Frame)
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* Full IAU 2000/2006 chain:
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* GCRF = [BPN] * [GAST] * [PM] * ITRF
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*
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* Where:
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* - PM = Polar motion
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* - GAST = Greenwich Apparent Sidereal Time rotation
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* - BPN = Bias-Precession-Nutation
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*/
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static ecefToGCRF(ecef, utcTime, eopData) {
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// Convert times
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const ut1Time = TimeConverter.utcToUT1(utcTime);
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const ttTime = TimeConverter.utcToTT(utcTime);
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const jdUT1 = TimeConverter.dateToJulianDate(ut1Time);
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const jdTT = TimeConverter.dateToJulianDate(ttTime);
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// 1. Polar Motion correction
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const W = PolarMotion.polarMotionMatrix(eopData.xp, eopData.yp);
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// 2. Earth Rotation (using ERA for IAU 2000)
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const era = EarthRotation.earthRotationAngle(jdUT1);
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const R = new THREE.Matrix4().makeRotationZ(era);
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// 3. Precession-Nutation
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const P = PrecessionNutation.precessionMatrix(jdTT);
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const N = PrecessionNutation.nutationMatrix(jdTT);
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// 4. Compose transformation: GCRF = N * P * R * W * ITRF
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const transform = new THREE.Matrix4();
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transform.multiply(N);
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transform.multiply(P);
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transform.multiply(R);
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transform.multiply(W);
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// Apply to position vector
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const ecefVec = new THREE.Vector3(ecef.x, ecef.y, ecef.z);
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ecefVec.applyMatrix4(transform);
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return {
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x: ecefVec.x,
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y: ecefVec.y,
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z: ecefVec.z,
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frame: FRAMES.ECI,
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origin: ORIGINS.GEOCENTRIC,
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contract: new CelestialContract({
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frame: FRAMES.ECI,
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timeScale: TIME_SCALES.TT,
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origin: ORIGINS.GEOCENTRIC,
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tolerance: { position_m: 1 }
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})
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};
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}
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/**
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* Simplified version using GMST (less accurate, but faster)
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* Good for ~1 arcsecond accuracy
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*/
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static ecefToGCRF_Simple(ecef, utcTime) {
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const ut1Time = TimeConverter.utcToUT1(utcTime);
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const ttTime = TimeConverter.utcToTT(utcTime);
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const jdUT1 = TimeConverter.dateToJulianDate(ut1Time);
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const jdTT = TimeConverter.dateToJulianDate(ttTime);
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const gmst = EarthRotation.greenwichMeanSiderealTime(jdUT1, jdTT);
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const cos = Math.cos(gmst);
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const sin = Math.sin(gmst);
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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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// ===== LIGHT-TIME CORRECTION =====
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export class LightTime {
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/**
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* Correct for light travel time
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* Important for barycentric ephemerides
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*/
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static correctForLightTime(observerPos, targetPos, lightSpeed = 299792.458) {
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// Distance in km
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const distance = Math.sqrt(
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Math.pow(targetPos.x - observerPos.x, 2) +
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Math.pow(targetPos.y - observerPos.y, 2) +
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Math.pow(targetPos.z - observerPos.z, 2)
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);
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// Light travel time in seconds
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const lightTime = distance / lightSpeed;
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return {
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distance,
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lightTime,
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deltaT: lightTime / 86400 // days
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};
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}
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}
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// ===== ATMOSPHERIC REFRACTION =====
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export class Refraction {
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/**
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* Atmospheric refraction correction
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* Standard model for horizon effects
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*/
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static atmosphericRefraction(altitude, pressure = 1013.25, temperature = 10) {
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// altitude in degrees
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// pressure in millibars
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// temperature in Celsius
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if (altitude < -2) return 0; // Below horizon
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const altRad = altitude * Math.PI / 180;
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// Bennett's formula (accurate to ~0.07' for alt > 15°)
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let R;
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if (altitude > 15) {
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R = 1.0 / Math.tan(altRad + 7.31 / (altitude + 4.4));
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} else {
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// Low altitude correction
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const h = altitude;
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R = 34.1 / 60 - 4.193264 * h + 0.213640 * h * h;
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}
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// Pressure and temperature correction
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R *= (pressure / 1013.25) * (283 / (273 + temperature));
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// Convert arcminutes to degrees
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return R / 60;
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}
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}
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// ===== ECLIPSE GEOMETRY =====
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export class EclipseGeometry {
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/**
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* Calculate umbra/penumbra cone for lunar shadow
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*/
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static calculateShadowCone(sunPos, moonPos, sunRadius = 696000, moonRadius = 1737.4) {
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// All in km
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const sunMoonDist = Math.sqrt(
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Math.pow(moonPos.x - sunPos.x, 2) +
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Math.pow(moonPos.y - sunPos.y, 2) +
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Math.pow(moonPos.z - sunPos.z, 2)
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);
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// Umbra cone angle (Moon's angular radius from Sun perspective)
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const umbraAngle = Math.atan((sunRadius - moonRadius) / sunMoonDist);
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// Penumbra cone angle
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const penumbraAngle = Math.atan((sunRadius + moonRadius) / sunMoonDist);
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// Shadow cone length (to vertex)
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const umbraLength = moonRadius / Math.tan(umbraAngle);
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return {
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umbraAngle,
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penumbraAngle,
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umbraLength,
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axis: {
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x: (moonPos.x - sunPos.x) / sunMoonDist,
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y: (moonPos.y - sunPos.y) / sunMoonDist,
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z: (moonPos.z - sunPos.z) / sunMoonDist
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}
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};
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}
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/**
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* Intersect shadow cone with Earth ellipsoid
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* Returns eclipse path on ground
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*/
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static shadowGroundTrack(shadowCone, moonPos, earthRadius = 6378.137) {
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// Simplified: assumes spherical Earth
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// Full version uses WGS84 ellipsoid
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const coneVertex = {
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x: moonPos.x + shadowCone.axis.x * shadowCone.umbraLength,
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y: moonPos.y + shadowCone.axis.y * shadowCone.umbraLength,
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z: moonPos.z + shadowCone.axis.z * shadowCone.umbraLength
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};
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// Find intersection with sphere (ray-sphere intersection)
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// This gives eclipse centerline
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// Path width at Earth surface
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const pathWidth = 2 * earthRadius * Math.tan(shadowCone.umbraAngle);
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return {
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centerline: coneVertex,
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pathWidth,
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totalityDuration: null // Requires velocity calculation
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};
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}
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}
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export default {
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CelestialContract,
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PrecessionNutation,
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EarthRotation,
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PolarMotion,
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IAUTransform,
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LightTime,
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Refraction,
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EclipseGeometry,
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ORIGINS
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};
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