diff --git a/tools/rpo-replay/README.md b/tools/rpo-replay/README.md new file mode 100644 index 000000000..afd78e755 --- /dev/null +++ b/tools/rpo-replay/README.md @@ -0,0 +1,79 @@ +# RPO replay: Cosmos 2612 → ICEYE-X36 (Sep 30 – Oct 21, 2026) + +A 45-second, physics-grounded reconstruction of the Russian military satellite +Cosmos 2612 (NORAD 68762) maneuvering to within a few hundred meters of the +U.S.-registered ICEYE-X36 SAR satellite (NORAD 59103), rendered in CesiumJS +over Esri World Imagery and exported as 16:9 and 9:16 video. + +```sh +python3 tools/rpo-replay/model.py # orbit reconstruction -> data.json +python3 tools/rpo-replay/build_models.py # procedural GLBs +node tools/rpo-replay/render.mjs --format 16x9 --stills 2,24,32 # spot checks +node tools/rpo-replay/render.mjs --format 16x9 # all frames (resumable) +node tools/rpo-replay/render.mjs --format 16x9 --encode # -> MP4 +``` + +Formats: `16x9` (1920×1080), `9x16` (1080×1920), and `preview` / `preview-v` +at half size. Output goes to `output/rpo-replay//`. Requires +`pip install sgp4 numpy scipy pillow`, Playwright's Chromium (SwiftShader, no +GPU), and ffmpeg. + +## What is measured and what is modeled + +**ICEYE-X36** is propagated with SGP4 from its public CelesTrak element set +(`tles.txt`). X36 did not maneuver in this window. + +**Cosmos 2612** has no public element-set history without an account, so its +path is a relative-orbit reconstruction about X36: + +- Quasi-nonsingular relative orbital elements (δa, δλ, δe, δi), advanced + with Keplerian along-track drift and the differential J2 node drift. The + 47 km "high park" is what swings Cosmos 2612's orbit plane into X36's. + The model needs a 0.27° initial plane offset; published analysis gives + ~0.22°. +- Burns are impulses through Gauss's variational equations. SMA changes are + two half-orbit-apart tangential impulses. Each burn is timed inside the + element-set window that KeepTrack, LeoLabs, and Marco Langbroek published. +- Solved checkpoints: + - Oct 12 overhead pass, then 480 km behind. + - ~400 km on Oct 15. + - 3 km behind after the Oct 16 braking burn. + - 2.0 / 0.99 / 0.72 / 0.60 km on Oct 17. + - 5.1 km behind and 140 m higher at 07:38 Oct 18. + - 293 km on Oct 19. + - Matched SMA, 477–479 km behind, from Oct 21. This matches today's Cosmos + 2612 element set. +- The model gives ~60 m/s total Δv (KeepTrack estimates ~67 m/s). The + closest approach comes out at **~325 m, 01:28 UTC Oct 18**, in Earth's + shadow. Published estimates range 150–650 m. Langbroek gives ~01:35 UTC. + +The 26 m and 25 m figures some outlets quoted come from element sets taken +after the departure burn, and KeepTrack rejects them. This replay does not +use them. + +## Rendering conventions + +- Camera and Earth ride with X36 on a slower "backdrop" clock during + time-lapse to avoid strobing. Relative motion runs at the on-screen rate. + Around closest approach the two clocks are identical, so lighting, shadow, + and the following orbital sunrise are true to time. +- Up close, the spacecraft are drawn enlarged (the factor is on screen, capped + at 150×). At closest approach they are at true scale. +- In Earth's shadow the models get a dim blue fill so their shapes stay + readable. +- ICEYE-X36 is modeled to ICEYE's published Gen-3 dimensions: 3.2 × 0.4 m + antenna, ~3.25 m span. No public imagery of Cosmos 2612's design exists, so + its model is illustrative. + +## Sources + +- CelesTrak GP element sets for 59103 and 68762. +- KeepTrack, "Cosmos 2612 / ICEYE-X36 rendezvous" deep dive: burn windows, + separations, SMA offsets. +- LeoLabs event report via Via Satellite, Oct 19, 2026. +- Marco Langbroek (SatTrackCam Leiden), quoted by Space.com, Aerospace Global + News, and TWZ. +- Vantor image of the pair, Oct 17 (~1.02 km), published by Axios Oct 22. +- Imagery: Esri World Imagery; NASA GIBS VIIRS Black Marble (night side). +- Sky: Yale Bright Star Catalogue and ESO/S. Brunier Milky Way (see + `src/data/local_data/sky/README.md`). diff --git a/tools/rpo-replay/build_models.py b/tools/rpo-replay/build_models.py new file mode 100644 index 000000000..db12d02d2 --- /dev/null +++ b/tools/rpo-replay/build_models.py @@ -0,0 +1,399 @@ +#!/usr/bin/env python3 +"""Procedural GLB models for the RPO replay. + +ICEYE-X36: ICEYE Gen-3 class SAR microsatellite. Dimensions follow ICEYE's +fleet documentation (3.2 m x 0.4 m phased-array antenna, ~3.25 m span, +two deployable solar arrays, ~0.7 x 0.5 m bus). + +Cosmos 2612: no public imagery of the design exists. The model is an +illustrative small military bus (box body, two three-panel wings, a forward +optical sensor and a rear propulsion module) sized like its launch cohort. + +Axes (glTF, Y-up): +X along-track (velocity), +Y zenith, +Z = -orbit normal. +""" + +import io +import json +import math +import struct + +import numpy as np +from PIL import Image, ImageDraw, ImageFilter + +HERE = __file__.rsplit('/', 1)[0] +RNG = np.random.default_rng(7) + + +# --------------------------------------------------------------------------- +# Textures +# --------------------------------------------------------------------------- + +def png_bytes(img): + b = io.BytesIO() + img.save(b, 'PNG', optimize=True) + return b.getvalue() + + +def solar_texture(cols=8, rows=6, size=(512, 384)): + w, h = size + img = Image.new('RGB', size, (18, 22, 40)) + d = ImageDraw.Draw(img) + cw, ch = w / cols, h / rows + for i in range(cols): + for j in range(rows): + x0, y0 = i * cw + 3, j * ch + 3 + x1, y1 = (i + 1) * cw - 3, (j + 1) * ch - 3 + shade = int(RNG.integers(-6, 6)) + d.rectangle([x0, y0, x1, y1], fill=(28 + shade, 40 + shade, 92 + shade)) + # clipped corners like triple-junction cells + c = 6 + for cx, cy in [(x0, y0), (x1, y0), (x0, y1), (x1, y1)]: + d.polygon([(cx, cy), (cx + (c if cx == x0 else -c), cy), (cx, cy + (c if cy == y0 else -c))], + fill=(18, 22, 40)) + for k in range(1, 6): + yy = y0 + (y1 - y0) * k / 6 + d.line([x0 + 2, yy, x1 - 2, yy], fill=(70, 82, 130), width=1) + d.line([x0, (y0 + y1) / 2, x1, (y0 + y1) / 2], fill=(150, 155, 170), width=2) + return img + + +def mli_texture(base, size=256): + n = RNG.normal(0, 1, (size // 8, size // 8)) + n = np.kron(n, np.ones((8, 8))) + img = Image.fromarray(np.uint8(np.clip(128 + n * 30, 0, 255))).filter(ImageFilter.GaussianBlur(3)) + a = np.asarray(img, dtype=float) / 255 + rgb = np.stack([np.clip(base[c] * (0.78 + 0.45 * a), 0, 255) for c in range(3)], -1) + # seams / tape + out = Image.fromarray(np.uint8(rgb)) + d = ImageDraw.Draw(out) + for x in (0, size // 2): + d.line([x, 0, x, size], fill=tuple(int(c * 0.65) for c in base), width=2) + return out + + +def mli_normal(size=256): + n = RNG.normal(0, 1, (size // 6 + 1, size // 6 + 1)) + n = np.kron(n, np.ones((6, 6)))[:size, :size] + h = np.asarray(Image.fromarray(np.uint8(np.clip(128 + n * 40, 0, 255))).filter(ImageFilter.GaussianBlur(2)), + dtype=float) / 255 + gx = np.roll(h, -1, 1) - np.roll(h, 1, 1) + gy = np.roll(h, -1, 0) - np.roll(h, 1, 0) + s = 3.0 + nx, ny, nz = -gx * s, -gy * s, np.ones_like(h) + l = np.sqrt(nx ** 2 + ny ** 2 + nz ** 2) + rgb = np.stack([(nx / l + 1) / 2, (ny / l + 1) / 2, (nz / l + 1) / 2], -1) + return Image.fromarray(np.uint8(rgb * 255)) + + +def sar_texture(size=(1024, 128)): + w, h = size + img = Image.new('RGB', size, (34, 36, 40)) + d = ImageDraw.Draw(img) + nx, ny = 64, 8 + for i in range(nx): + for j in range(ny): + cx, cy = (i + 0.5) * w / nx, (j + 0.5) * h / ny + r = 4.5 + d.rectangle([cx - r, cy - r, cx + r, cy + r], fill=(150, 112, 70)) + d.rectangle([cx - r + 2, cy - r + 2, cx + r - 2, cy + r - 2], fill=(118, 88, 56)) + for k in range(1, 5): + x = w * k / 5 + d.line([x, 0, x, h], fill=(10, 10, 12), width=3) + return img + + +def panel_texture(color, size=128, lines=4): + img = Image.new('RGB', (size, size), color) + d = ImageDraw.Draw(img) + for k in range(1, lines): + p = size * k / lines + d.line([p, 0, p, size], fill=tuple(int(c * 0.8) for c in color), width=1) + return img + + +# --------------------------------------------------------------------------- +# Minimal glTF builder +# --------------------------------------------------------------------------- + +class Gltf: + def __init__(self): + self.bin = bytearray() + self.j = dict(asset=dict(version='2.0', generator='gods-eye-view rpo-replay'), + scenes=[dict(nodes=[0])], scene=0, nodes=[dict(name='root', children=[])], + meshes=[], materials=[], accessors=[], bufferViews=[], buffers=[], + images=[], textures=[], samplers=[dict(magFilter=9729, minFilter=9987, wrapS=10497, wrapT=10497)]) + self.prims = [] + + def _view(self, data, target=None): + while len(self.bin) % 4: + self.bin.append(0) + off = len(self.bin) + self.bin += data + v = dict(buffer=0, byteOffset=off, byteLength=len(data)) + if target: + v['target'] = target + self.j['bufferViews'].append(v) + return len(self.j['bufferViews']) - 1 + + def _acc(self, arr, typ, target): + arr = np.ascontiguousarray(arr) + comp = 5126 if arr.dtype == np.float32 else 5125 + view = self._view(arr.tobytes(), target) + a = dict(bufferView=view, componentType=comp, count=int(arr.shape[0]), type=typ) + if typ == 'VEC3' and comp == 5126: + a['min'] = arr.min(0).tolist() + a['max'] = arr.max(0).tolist() + self.j['accessors'].append(a) + return len(self.j['accessors']) - 1 + + def texture(self, img): + view = self._view(png_bytes(img)) + self.j['images'].append(dict(bufferView=view, mimeType='image/png')) + self.j['textures'].append(dict(sampler=0, source=len(self.j['images']) - 1)) + return len(self.j['textures']) - 1 + + def material(self, name, color=(1, 1, 1), metal=0.0, rough=0.6, tex=None, normal=None, emissive=None, + double=False): + m = dict(name=name, pbrMetallicRoughness=dict(baseColorFactor=[*color, 1.0], metallicFactor=metal, + roughnessFactor=rough)) + if tex is not None: + m['pbrMetallicRoughness']['baseColorTexture'] = dict(index=tex) + if normal is not None: + m['normalTexture'] = dict(index=normal, scale=0.6) + if emissive: + m['emissiveFactor'] = list(emissive) + if double: + m['doubleSided'] = True + self.j['materials'].append(m) + return len(self.j['materials']) - 1 + + def add(self, name, pos, nrm, uv, idx, mat, translation=(0, 0, 0), rotation=None): + p = dict(attributes=dict(POSITION=self._acc(np.float32(pos), 'VEC3', 34962), + NORMAL=self._acc(np.float32(nrm), 'VEC3', 34962), + TEXCOORD_0=self._acc(np.float32(uv), 'VEC2', 34962)), + indices=self._acc(np.uint32(idx).ravel(), 'SCALAR', 34963), material=mat) + self.j['meshes'].append(dict(name=name, primitives=[p])) + node = dict(name=name, mesh=len(self.j['meshes']) - 1, translation=list(map(float, translation))) + if rotation is not None: + node['rotation'] = list(map(float, rotation)) + self.j['nodes'].append(node) + self.j['nodes'][0]['children'].append(len(self.j['nodes']) - 1) + + def save(self, path): + while len(self.bin) % 4: + self.bin.append(0) + self.j['buffers'] = [dict(byteLength=len(self.bin))] + js = json.dumps(self.j, separators=(',', ':')).encode() + while len(js) % 4: + js += b' ' + out = struct.pack(' 0 else tri[::-1]) + P = np.array(P, float) + N = np.array(N, float) + if axis == 'y': + P, N = P[:, [1, 0, 2]] * [1, 1, 1], N[:, [1, 0, 2]] + I = [t[::-1] for t in I] + elif axis == 'z': + P, N = P[:, [1, 2, 0]], N[:, [1, 2, 0]] + return P.tolist(), N.tolist(), U, I + + +def dish(r, depth, seg=32, rings=6): + """Paraboloid dish opening toward +X.""" + P, N, U, I = [], [], [], [] + for i in range(rings + 1): + rr = r * i / rings + x = depth * (rr / r) ** 2 + for k in range(seg + 1): + a = 2 * math.pi * k / seg + P.append((x, rr * math.cos(a), rr * math.sin(a))) + n = np.array([-1.0, 2 * depth * rr / r ** 2 * math.cos(a), 2 * depth * rr / r ** 2 * math.sin(a)]) + n = -n / np.linalg.norm(n) + N.append(tuple(n)) + U.append((k / seg, i / rings)) + for i in range(rings): + for k in range(seg): + a = i * (seg + 1) + k + b = a + seg + 1 + I += [(a, a + 1, b), (a + 1, b + 1, b)] + return P, N, U, I + + +def quat(axis, deg): + axis = np.array(axis, float) / np.linalg.norm(axis) + h = math.radians(deg) / 2 + return [*(axis * math.sin(h)), math.cos(h)] + + +# --------------------------------------------------------------------------- +# ICEYE-X36 +# --------------------------------------------------------------------------- + +def build_iceye(): + g = Gltf() + t_sar = g.texture(sar_texture()) + t_sol = g.texture(solar_texture(cols=6, rows=4, size=(384, 256))) + t_gold = g.texture(mli_texture((214, 168, 72))) + t_n = g.texture(mli_normal()) + t_rad = g.texture(panel_texture((226, 228, 232))) + + m_sar = g.material('sar-face', tex=t_sar, metal=0.55, rough=0.42) + m_back = g.material('antenna-back', color=(0.82, 0.83, 0.86), metal=0.2, rough=0.55, tex=t_rad) + m_gold = g.material('mli-gold', tex=t_gold, normal=t_n, metal=0.85, rough=0.32) + m_sol = g.material('solar', tex=t_sol, metal=0.4, rough=0.25) + m_frame = g.material('frame', color=(0.55, 0.56, 0.6), metal=0.9, rough=0.35) + m_black = g.material('black', color=(0.05, 0.05, 0.06), metal=0.1, rough=0.6) + m_white = g.material('white', color=(0.9, 0.9, 0.92), metal=0.0, rough=0.5) + + # SAR antenna: five hinged segments, 3.25 m along-track x 0.40 m, face tilted + # 25 deg off nadir toward -Z (right-looking). + seg_len, gap = 0.638, 0.015 + tilt = quat((1, 0, 0), -25) + for k in range(5): + x = (k - 2) * (seg_len + gap) + P, N, U, I = box(seg_len, 0.035, 0.40) + # face (-Y) UVs map into 1/5 of the antenna texture + U = [(u * 0.2 + 0.2 * k, v) for (u, v) in U] + P = np.array(P) + [x, 0, 0] + g.add(f'sar-seg-{k}', P, N, U, I, m_sar if True else m_back, rotation=tilt) + Pb, Nb, Ub, Ib = box(seg_len - 0.04, 0.012, 0.36) + g.add(f'sar-back-{k}', np.array(Pb) + [x, 0.022, 0], Nb, Ub, Ib, m_back, rotation=tilt) + # Bus behind the antenna + P, N, U, I = box(0.62, 0.42, 0.46) + g.add('bus', P, N, U, I, m_gold, translation=(0, 0.25, 0.06)) + P, N, U, I = box(0.6, 0.02, 0.44) + g.add('bus-top-radiator', P, N, U, I, m_white, translation=(0, 0.47, 0.06)) + # Solar wings off the bus, canted toward the sun-side + for side in (1, -1): + P, N, U, I = box(0.58, 0.02, 0.78) + g.add(f'solar-{side}', P, N, U, I, m_sol, translation=(0, 0.42, 0.06 + side * 0.66), + rotation=quat((1, 0, 0), side * 14)) + P, N, U, I = cylinder(0.012, 0.012, 0.16, seg=8, axis='z') + g.add(f'hinge-{side}', P, N, U, I, m_frame, translation=(0, 0.42, 0.06 + side * 0.20 - (0.16 if side < 0 else 0))) + # Star trackers, X-band downlink horn, GNSS patch + for k, z in enumerate((-0.12, 0.12)): + P, N, U, I = cylinder(0.035, 0.05, 0.08, seg=16, axis='y') + g.add(f'star-tracker-{k}', P, N, U, I, m_black, translation=(-0.2, 0.48, 0.06 + z)) + P, N, U, I = cylinder(0.05, 0.02, 0.09, seg=16, axis='y') + g.add('x-band', P, N, U, I, m_frame, translation=(0.2, 0.04, 0.2), rotation=quat((1, 0, 0), 180)) + P, N, U, I = box(0.08, 0.012, 0.08) + g.add('gnss', P, N, U, I, m_white, translation=(0.18, 0.485, 0.06)) + g.save(f'{HERE}/iceye-x36.glb') + + +# --------------------------------------------------------------------------- +# Cosmos 2612 (illustrative) +# --------------------------------------------------------------------------- + +def build_cosmos(): + g = Gltf() + t_sol = g.texture(solar_texture(cols=8, rows=6)) + t_mli = g.texture(mli_texture((178, 182, 186))) + t_dark = g.texture(mli_texture((64, 62, 58))) + t_n = g.texture(mli_normal()) + t_rad = g.texture(panel_texture((210, 212, 205))) + + m_mli = g.material('mli-silver', tex=t_mli, normal=t_n, metal=0.9, rough=0.28) + m_dark = g.material('mli-dark', tex=t_dark, normal=t_n, metal=0.6, rough=0.4) + m_sol = g.material('solar', tex=t_sol, metal=0.4, rough=0.25) + m_rad = g.material('radiator', tex=t_rad, metal=0.0, rough=0.55) + m_frame = g.material('frame', color=(0.6, 0.6, 0.62), metal=0.9, rough=0.3) + m_black = g.material('black', color=(0.03, 0.03, 0.035), metal=0.2, rough=0.4) + m_lens = g.material('lens', color=(0.05, 0.08, 0.12), metal=1.0, rough=0.05, emissive=(0.02, 0.05, 0.08)) + m_nozzle = g.material('nozzle', color=(0.35, 0.3, 0.28), metal=0.95, rough=0.4) + + P, N, U, I = box(0.95, 0.72, 0.72) + g.add('bus', P, N, U, I, m_mli) + P, N, U, I = box(0.5, 0.74, 0.74) + g.add('bus-band', P, N, U, I, m_dark, translation=(-0.12, 0, 0)) + P, N, U, I = box(0.8, 0.02, 0.6) + g.add('radiator-top', P, N, U, I, m_rad, translation=(0.02, 0.375, 0)) + # Three-panel wings along +/-Z + for side in (1, -1): + P, N, U, I = cylinder(0.018, 0.018, 0.32, seg=10, axis='z') + g.add(f'yoke-{side}', P, N, U, I, m_frame, translation=(0, 0, side * 0.36 - (0.32 if side < 0 else 0))) + for k in range(3): + P, N, U, I = box(0.62, 0.02, 0.5) + z = side * (0.36 + 0.32 + 0.26 + k * 0.52) + g.add(f'wing-{side}-{k}', P, N, U, I, m_sol, translation=(0, 0, z), rotation=quat((0, 0, 1), 10)) + # Forward optical sensor (faces +X: toward a target ahead along-track) + P, N, U, I = cylinder(0.13, 0.13, 0.24, seg=32, axis='x') + g.add('sensor-barrel', P, N, U, I, m_black, translation=(0.475, 0.12, 0.0)) + P, N, U, I = cylinder(0.145, 0.16, 0.06, seg=32, axis='x', caps=False) + g.add('sensor-hood', P, N, U, I, m_frame, translation=(0.70, 0.12, 0.0)) + P, N, U, I = cylinder(0.1, 0.1, 0.01, seg=32, axis='x') + g.add('sensor-lens', P, N, U, I, m_lens, translation=(0.715, 0.12, 0.0)) + # Proximity radar / laser rangefinder block + P, N, U, I = box(0.12, 0.12, 0.16) + g.add('ranging', P, N, U, I, m_dark, translation=(0.53, -0.18, 0.18)) + # Rear propulsion + P, N, U, I = cylinder(0.16, 0.16, 0.12, seg=24, axis='x') + g.add('prop-module', P, N, U, I, m_dark, translation=(-0.595, 0, 0)) + P, N, U, I = cylinder(0.035, 0.09, 0.16, seg=24, axis='x', caps=False) + g.add('nozzle', P, N, U, I, m_nozzle, translation=(-0.76, 0, 0), rotation=quat((0, 0, 1), 180)) + for k, (y, z) in enumerate(((0.3, 0.3), (0.3, -0.3), (-0.3, 0.3), (-0.3, -0.3))): + P, N, U, I = cylinder(0.012, 0.025, 0.05, seg=10, axis='x', caps=False) + g.add(f'rcs-{k}', P, N, U, I, m_nozzle, translation=(-0.48, y, z), rotation=quat((0, 0, 1), 180)) + # S-band dish on a short mast (zenith) + P, N, U, I = cylinder(0.012, 0.012, 0.22, seg=8, axis='y') + g.add('mast', P, N, U, I, m_frame, translation=(-0.25, 0.37, 0.18)) + P, N, U, I = dish(0.14, 0.05) + g.add('dish', P, N, U, I, m_rad, translation=(-0.25, 0.6, 0.18), rotation=quat((0, 0, 1), 90)) + g.save(f'{HERE}/cosmos-2612.glb') + + +if __name__ == '__main__': + build_iceye() + build_cosmos() diff --git a/tools/rpo-replay/cosmos-2612.glb b/tools/rpo-replay/cosmos-2612.glb new file mode 100644 index 000000000..cfbc33c5e Binary files /dev/null and b/tools/rpo-replay/cosmos-2612.glb differ diff --git a/tools/rpo-replay/data.json b/tools/rpo-replay/data.json new file mode 100644 index 000000000..fe85480a6 --- /dev/null +++ b/tools/rpo-replay/data.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/tools/rpo-replay/iceye-x36.glb b/tools/rpo-replay/iceye-x36.glb new file mode 100644 index 000000000..765d81160 Binary files /dev/null and b/tools/rpo-replay/iceye-x36.glb differ diff --git a/tools/rpo-replay/logo.svg b/tools/rpo-replay/logo.svg new file mode 100644 index 000000000..c2606eaf7 --- /dev/null +++ b/tools/rpo-replay/logo.svg @@ -0,0 +1,43 @@ + + God's Eye View + + + + + + + + diff --git a/tools/rpo-replay/model.py b/tools/rpo-replay/model.py new file mode 100644 index 000000000..970fd8d6a --- /dev/null +++ b/tools/rpo-replay/model.py @@ -0,0 +1,445 @@ +#!/usr/bin/env python3 +"""Reconstruct the Cosmos 2612 / ICEYE-X36 rendezvous (Sep 30 - Oct 22, 2026). + +ICEYE-X36 is propagated with SGP4 from its public CelesTrak element set. +Cosmos 2612 is carried as quasi-nonsingular relative orbital elements (ROE) +about X36 and advanced with linearised Keplerian drift plus the differential +J2 node drift. Manoeuvres are tangential / normal impulses applied through +Gauss's variational equations, timed inside the element-set windows that +KeepTrack, LeoLabs and Marco Langbroek published. The final state is pinned +to Cosmos 2612's own current element set (479 km behind, matched SMA). + +Output: data.json (60 s samples) consumed by scene.html. +""" + +import json +import math +from datetime import datetime, timedelta, timezone + +import numpy as np +from scipy.optimize import least_squares +from sgp4.api import Satrec, jday + +HERE = __file__.rsplit('/', 1)[0] +MU = 398600.4418 +RE = 6378.137 +J2 = 1.08262668e-3 + +lines = open(f'{HERE}/tles.txt').read().split('\n') +cosmos_tle = Satrec.twoline2rv(lines[1], lines[2]) +x36 = Satrec.twoline2rv(lines[4], lines[5]) + +A = (MU / (x36.no_kozai / 60) ** 2) ** (1 / 3) # km +N_RAD_S = math.sqrt(MU / A ** 3) +N_DAY = N_RAD_S * 86400 +INC = x36.inclo +V = N_RAD_S * A * 1000 # m/s orbital speed +# Differential node rate per unit da/a: dOmegadot = -3.5 * Omegadot * da/a +OMEGA_DOT = -1.5 * N_RAD_S * J2 * (RE / A) ** 2 * math.cos(INC) # rad/s + +T0 = datetime(2026, 9, 29, 12, 0, tzinfo=timezone.utc) +T1 = datetime(2026, 10, 22, 12, 0, tzinfo=timezone.utc) +DT = 60 + + +def utc(s): + return datetime.fromisoformat(s.replace('Z', '+00:00')) + + +def secs(d): + return (d - T0).total_seconds() + + +def x36_state(t): + d = T0 + timedelta(seconds=t) + jd, fr = jday(d.year, d.month, d.day, d.hour, d.minute, d.second + d.microsecond / 1e6) + e, r, v = x36.sgp4(jd, fr) + assert e == 0 + return np.array(r), np.array(v) + + +def frame(r, v): + R = r / np.linalg.norm(r) + Nn = np.cross(r, v) + Nn /= np.linalg.norm(Nn) + return R, np.cross(Nn, R), Nn + + +def arg_lat(r, v): + R, T, Nn = frame(r, v) + node = np.cross([0, 0, 1], Nn) + node /= np.linalg.norm(node) + return math.atan2(np.dot(np.cross(node, R), Nn), np.dot(node, R)) + + +# --------------------------------------------------------------------------- +# ROE dynamics. roe = [da, dl, dex, dey, dix, diy] (dimensionless, / a) +# --------------------------------------------------------------------------- + +def drift(roe, dt): + out = roe.copy() + out[1] += -1.5 * N_RAD_S * roe[0] * dt + out[5] += -3.5 * OMEGA_DOT * roe[0] * math.sin(INC) * dt + return out + + +def impulse(roe, u, dvr=0.0, dvt=0.0, dvn=0.0): + k = 1 / (N_RAD_S * A * 1000) + out = roe.copy() + out[0] += 2 * k * dvt + out[1] += -2 * k * dvr + out[2] += k * (math.sin(u) * dvr + 2 * math.cos(u) * dvt) + out[3] += k * (-math.cos(u) * dvr + 2 * math.sin(u) * dvt) + out[4] += k * math.cos(u) * dvn + out[5] += k * math.sin(u) * dvn + return out + + +def rtn(roe, u): + da, dl, dex, dey, dix, diy = roe + return A * 1000 * np.array([ + da - dex * math.cos(u) - dey * math.sin(u), + dl + 2 * dex * math.sin(u) - 2 * dey * math.cos(u), + dix * math.sin(u) - diy * math.cos(u), + ]) + + +def dv_for_da(da_km): + return V * da_km / A / 2 # m/s total, split into two half-orbit impulses + + +PERIOD = 2 * math.pi / N_RAD_S +U_CACHE = {} + + +def u_at(t): + key = round(t) + if key not in U_CACHE: + U_CACHE[key] = arg_lat(*x36_state(t)) + return U_CACHE[key] + + +def build(params): + """Return (burns, simulate) from a parameter dict.""" + p = params + burns = [] + + def hohmann(t, da_km, label, de_vec=None): + """Two tangential impulses half an orbit apart -> pure SMA change. + + de_vec optionally re-targets the relative eccentricity vector by + splitting the impulses unevenly (a small radial-tangential trim).""" + dv = dv_for_da(da_km) + burns.append(dict(t=t, dvt=dv / 2, label=label)) + burns.append(dict(t=t + PERIOD / 2, dvt=dv / 2, label=label, second=True, de=de_vec)) + + hohmann(p['t_sep30'], p['da_sep30'], 'Phasing raise') + burns.append(dict(t=p['t_oct7'], dvn=p['dvn_oct7'], label='Plane trim')) + hohmann(p['t_oct12'], p['da_oct12'], 'Descent to X36 orbit') + hohmann(p['t_oct15'], p['da_oct15'], 'Closing burn') + hohmann(p['t_oct16'], p['da_oct16'], 'Braking burn', de_vec=p['de_prox']) + burns.append(dict(t=p['t_oct18a'], dvt=dv_for_da(p['da_oct18a']), label='Back-off')) + hohmann(p['t_oct18'], p['da_oct18'], 'Departure burn') + hohmann(p['t_oct19'], p['da_oct19'], 'Re-match orbit') + burns.sort(key=lambda b: b['t']) + return burns + + +def simulate(params, times): + burns = build(params) + roe = np.array(params['roe0'], dtype=float) + t = 0.0 + bi = 0 + out = [] + roe_out = [] + for tt in times: + while bi < len(burns) and burns[bi]['t'] <= tt: + b = burns[bi] + roe = drift(roe, b['t'] - t) + t = b['t'] + u = u_at(t) + roe = impulse(roe, u, dvt=b.get('dvt', 0), dvn=b.get('dvn', 0)) + if b.get('de') is not None: + roe[2], roe[3] = b['de'][0] / (A * 1000), b['de'][1] / (A * 1000) + bi += 1 + roe = drift(roe, tt - t) + t = tt + out.append(rtn(roe, u_at(tt))) + roe_out.append(roe.copy()) + return np.array(out), np.array(roe_out), burns + + +# --------------------------------------------------------------------------- +# Timeline (UTC). Windows are the published element-set gaps. +# --------------------------------------------------------------------------- +OCT12_OVERHEAD = secs(utc('2026-10-12T00:10:00Z')) +LAP_DA = 47.0 # km, KeepTrack: "raised orbit by 47 km in total" +lap_rate = 1.5 * N_RAD_S * LAP_DA / A # rad/s +t_sep30 = secs(utc('2026-09-30T11:00:00Z')) + +params = dict( + t_sep30=t_sep30, da_sep30=LAP_DA - 1.0, + t_oct7=secs(utc('2026-10-07T10:30:00Z')), dvn_oct7=4.0, + t_oct12=secs(utc('2026-10-12T01:30:00Z')), da_oct12=-(LAP_DA + 0.2), + t_oct15=secs(utc('2026-10-15T03:00:00Z')), da_oct15=-2.3, + t_oct16=secs(utc('2026-10-16T05:30:00Z')), da_oct16=2.48, + de_prox=(0.0, 800.0), + t_oct18a=secs(utc('2026-10-18T02:00:00Z')), da_oct18a=0.13, + t_oct18=secs(utc('2026-10-18T12:26:00Z')), da_oct18=2.40, + t_oct19=secs(utc('2026-10-19T20:00:00Z')), da_oct19=-2.45, + roe0=[1.0 / A, 0.0, 0.0, 0.0, -0.032 * math.pi / 180, 0.0], +) + + +def sep_at(p, iso_list): + ts = [secs(utc(s)) for s in iso_list] + r, roe, _ = simulate(p, ts) + return np.linalg.norm(r, axis=1) / 1000, r, roe + + +def dl_at(p, iso): + _, _, roe = sep_at(p, [iso]) + return roe[0][1] + + +# 1) Initial along-track phase so the Oct 12 overhead pass (dl = -2 pi) is hit. +def f_phase(x): + p = dict(params, roe0=[params['roe0'][0], x[0]] + params['roe0'][2:]) + return [dl_at(p, '2026-10-12T00:10:00Z') + 2 * math.pi] + + +params['roe0'][1] = least_squares(f_phase, [-0.5]).x[0] +# Undo the lap so dl is near zero afterwards (wrap): handled by subtracting 2 pi. +params['roe0'][1] += 2 * math.pi +# Wrap: overhead at Oct 12 is now dl=0. + +# 1b) Initial relative inclination vector: the 47 km "high park" lets +# differential J2 node drift close the plane; the Oct 7 normal burn +# trims the rest. Fit so the plane angle is ~0.002 deg by Oct 16. +def f_plane(x): + p = dict(params, roe0=params['roe0'][:4] + [x[0], x[1]]) + _, _, roe = sep_at(p, ['2026-10-16T12:00:00Z']) + target = 0.002 * math.pi / 180 / math.sqrt(2) + return [(roe[0][4] - target) * 1e5, (roe[0][5] - target) * 1e5] + + +params['roe0'][4:6] = list(least_squares(f_plane, [0.0, -0.002]).x) +plane0 = math.degrees(math.hypot(*params['roe0'][4:6])) + +# 2) Oct 12 descent timing -> ~480 km behind once the drift stops. +def f_desc(x): + p = dict(params, t_oct12=x[0]) + return [dl_at(p, '2026-10-12T06:00:00Z') * A + 480.0] + + +params['t_oct12'] = least_squares(f_desc, [params['t_oct12']]).x[0] + +# 3) Oct 15 closing burn timing so drift is arrested ~3 km behind by the Oct 16 braking burn. +def f_close(x): + p = dict(params, t_oct15=x[0]) + t16 = params['t_oct16'] + PERIOD + d = (T0 + timedelta(seconds=t16)).isoformat() + return [dl_at(p, d) * A + 3.0] + + +params['t_oct15'] = least_squares(f_close, [params['t_oct15']]).x[0] + +# 4) Proximity phase: fit the residual SMA offset, relative e / i vectors to +# published separations (Oct 17) and a sub-km closest approach early Oct 18. +CHECK = [ + ('2026-10-17T07:45:00Z', 2.1), + ('2026-10-17T17:18:00Z', 0.85), + ('2026-10-17T20:29:00Z', 0.64), + ('2026-10-17T23:40:00Z', 0.64), +] + + +DE_PROX_M = 800.0 # KeepTrack: relative loops ~1.6 km tall after the braking burn + + +def prox_params(x): + t16, da16, phi = x + return dict(params, t_oct16=t16, da_oct16=da16, + de_prox=(DE_PROX_M * math.cos(phi), DE_PROX_M * math.sin(phi))) + + +def window(start, end, step_min): + t, out = utc(start), [] + while t < utc(end): + out.append(t.isoformat()) + t += timedelta(minutes=step_min) + return out + + +ca_window = window('2026-10-17T23:30:00Z', '2026-10-18T02:00:00Z', 1) +pre_window = window('2026-10-16T08:00:00Z', '2026-10-17T23:30:00Z', 4) +T_CA_TARGET = 75 # minutes after 00:00 -> 01:15 UTC (Langbroek ~01:35, KeepTrack ~01:10) + + +def f_prox(x): + p = prox_params(x) + d, _, roe = sep_at(p, [c[0] for c in CHECK] + ['2026-10-16T12:00:00Z']) + res = [(d[i] - c[1]) / 0.5 for i, c in enumerate(CHECK)] + res.append((roe[-1][1] * A + 3.0) / 0.3) + dw, _, _ = sep_at(p, ca_window) + k = int(np.argmin(dw)) + res.append((dw[k] - 0.20) / 0.02) + res.append((k - 30 - T_CA_TARGET) / 15) + dp, _, _ = sep_at(p, pre_window) + res.append(max(0.0, 0.55 - dp.min()) / 0.02) + return res + + +best = None +for phi0 in np.linspace(0, 2 * math.pi, 8, endpoint=False): + f = least_squares(f_prox, [params['t_oct16'] - 1800, 2.49, phi0], x_scale=[600, 0.01, 0.3], + diff_step=[1e-4, 1e-4, 1e-3]) + if best is None or f.cost < best.cost: + best = f +fit = best +params.update(prox_params(fit.x)) +print('prox fit residuals', np.round(fit.fun, 2), 'x', fit.x) + +# 5) Post-CA back-off so Oct 18 07:38 is ~5.1 km behind. +def f_back(x): + p = dict(params, da_oct18a=x[0]) + d, r, _ = sep_at(p, ['2026-10-18T07:38:00Z']) + return [d[0] - 5.1] + + +params['da_oct18a'] = least_squares(f_back, [0.13]).x[0] + +# 6) Re-match burn so the state lands on the current element sets +# (Oct 24: 479 km behind, SMA offset +0.017 km). +def pair_phase(iso): + d = utc(iso) + jd, fr = jday(d.year, d.month, d.day, d.hour, d.minute, d.second) + _, rc, _ = cosmos_tle.sgp4(jd, fr) + r, v = x36_state(secs(d)) + R, T, Nn = frame(r, v) + return math.atan2(np.dot(np.cross(r, rc), Nn), np.dot(r, rc)) + + +A_COSMOS = (MU / (cosmos_tle.no_kozai / 60) ** 2) ** (1 / 3) +END_DA = A_COSMOS - A +target_dl = pair_phase('2026-10-21T12:00:00Z') + + +def f_rematch(x): + p = dict(params, t_oct19=x[0], da_oct19=END_DA - (params['da_oct18a'] + params['da_oct18'] + params['roe0'][0] * 0 + 0)) + return [(dl_at(p, '2026-10-21T12:00:00Z') - target_dl) * A] + + +# SMA bookkeeping: total offset after Oct 18 burns. +def sma_after(p, iso): + _, _, roe = sep_at(p, [iso]) + return roe[0][0] * A + + +da_before_rematch = sma_after(params, '2026-10-19T12:00:00Z') +params['da_oct19'] = END_DA - da_before_rematch +params['t_oct19'] = least_squares( + lambda x: [(dl_at(dict(params, t_oct19=x[0]), '2026-10-21T12:00:00Z') - target_dl) * A], + [params['t_oct19']], +).x[0] + +# --------------------------------------------------------------------------- +# Sample and export +# --------------------------------------------------------------------------- +times = np.arange(0, secs(T1) + 1, DT) +rel, roe, burns = simulate(params, list(times)) +x36_pos = np.array([x36_state(t)[0] for t in times]) + +dist_km = np.linalg.norm(rel, axis=1) / 1000 +# Chord distance for large phases: the ROE map is linear, so use the +# curvilinear placement for the true separation. +def true_sep(i): + r, v = x36_state(times[i]) + R, T, Nn = frame(r, v) + th = rel[i][1] / 1000 / np.linalg.norm(r) + Rp = R * math.cos(th) + T * math.sin(th) + pc = (np.linalg.norm(r) + rel[i][0] / 1000) * Rp + rel[i][2] / 1000 * Nn + return np.linalg.norm(pc - r) + + +sep = np.array([true_sep(i) for i in range(len(times))]) +ica = int(np.argmin(np.where(times > secs(utc('2026-10-17T12:00:00Z')), sep, 1e9))) + +events = [ + dict(t='2026-09-30T11:00:00Z', key='raise'), + dict(t='2026-10-12T00:10:00Z', key='overhead'), +] + +burn_list = [] +for b in burns: + if b.get('second'): + continue + dv = abs(b.get('dvt', 0)) * (1 if b['label'] == 'Back-off' else 2) + abs(b.get('dvn', 0)) + burn_list.append(dict(t=(T0 + timedelta(seconds=b['t'])).isoformat().replace('+00:00', 'Z'), + label=b['label'], dv=round(dv, 2))) + +total_dv = sum(b['dv'] for b in burn_list) +ca_t = (T0 + timedelta(seconds=float(times[ica]))).isoformat().replace('+00:00', 'Z') +# Refine CA with 2 s sampling +fine = list(np.arange(times[ica] - 120, times[ica] + 120, 2.0)) +relf, _, _ = simulate(params, fine) +dfine = np.linalg.norm(relf, axis=1) +j = int(np.argmin(dfine)) +ca_t = (T0 + timedelta(seconds=float(fine[j]))).isoformat().replace('+00:00', 'Z') +ca_m = float(dfine[j]) +ca_rtn = relf[j].tolist() + +# Vantor image: Oct 17, ~1.02 km. Pick the Oct 17 sample nearest 1.02 km in the afternoon. +# Vantor imaged optically, so the pair must be sunlit at capture. +def sun_dir(t): + n = (T0 + timedelta(seconds=float(t)) - datetime(2000, 1, 1, 12, tzinfo=timezone.utc)).total_seconds() / 86400 + L = math.radians((280.46 + 0.9856474 * n) % 360) + g = math.radians((357.528 + 0.9856003 * n) % 360) + lam = L + math.radians(1.915) * math.sin(g) + math.radians(0.02) * math.sin(2 * g) + eps = math.radians(23.439) + return np.array([math.cos(lam), math.cos(eps) * math.sin(lam), math.sin(eps) * math.sin(lam)]) + + +def sunlit(t): + r = x36_state(t)[0] + s = sun_dir(t) + p = np.dot(r, s) + return p > 0 or np.linalg.norm(r - p * s) > RE + + +lit = np.array([sunlit(t) for t in times]) +mask = (times > secs(utc('2026-10-17T06:00:00Z'))) & (times < secs(utc('2026-10-17T23:59:00Z'))) & lit +iv = int(np.argmin(np.where(mask, np.abs(sep - 1.02), 1e9))) + +out = dict( + t0=T0.isoformat().replace('+00:00', 'Z'), + dt=DT, + a_km=A, + x36=np.round(x36_pos, 4).ravel().tolist(), + rel=np.round(rel, 2).ravel().tolist(), + sep_km=np.round(sep, 4).tolist(), + burns=burn_list, + total_dv=round(total_dv, 1), + ca=dict(t=ca_t, m=round(ca_m, 1), rtn=[round(v, 1) for v in ca_rtn]), + vantor=dict(t=(T0 + timedelta(seconds=float(times[iv]))).isoformat().replace('+00:00', 'Z'), + km=round(float(sep[iv]), 2)), + lit=''.join('1' if v else '0' for v in lit), + sma_offset_km=np.round(roe[:, 0] * A, 3).tolist()[::10], +) +json.dump(out, open(f'{HERE}/data.json', 'w'), separators=(',', ':')) + +print(f'a = {A:.3f} km, period = {PERIOD/60:.2f} min') +print('burns:') +for b in burn_list: + print(' ', b) +print('total dv', total_dv) +print('CA', ca_t, f'{ca_m:.0f} m', 'RTN', np.round(ca_rtn, 0)) +print('Vantor', out['vantor']) +for iso in ['2026-10-05T12:00:00Z', '2026-10-12T00:10:00Z', '2026-10-12T06:00:00Z', '2026-10-15T00:00:00Z', + '2026-10-15T12:00:00Z', '2026-10-16T06:00:00Z', '2026-10-16T12:00:00Z', '2026-10-17T07:45:00Z', + '2026-10-17T17:18:00Z', '2026-10-17T20:29:00Z', '2026-10-17T23:40:00Z', '2026-10-18T07:38:00Z', + '2026-10-19T07:32:00Z', '2026-10-21T12:00:00Z', '2026-10-22T12:00:00Z']: + i = int(secs(utc(iso)) // DT) + print(f' {iso} sep {sep[i]:9.2f} km rtn(km) {np.round(rel[i]/1000, 2)} dSMA {roe[i][0]*A:7.3f}') +print('plane angle at T0 deg', plane0) +print('target dl (Oct 21 from TLEs) km', target_dl * A, 'END_DA', END_DA) diff --git a/tools/rpo-replay/render.mjs b/tools/rpo-replay/render.mjs new file mode 100644 index 000000000..8fc4b0cd6 --- /dev/null +++ b/tools/rpo-replay/render.mjs @@ -0,0 +1,140 @@ +#!/usr/bin/env node +/** + * render.mjs — deterministic frame capture for the Cosmos 2612 / ICEYE-X36 replay. + * + * node tools/rpo-replay/render.mjs --format 16x9 --stills 2,9,24,32 + * node tools/rpo-replay/render.mjs --format 9x16 --from 0 --to 675 + * node tools/rpo-replay/render.mjs --format 16x9 --encode + * + * Frames are written to output/rpo-replay//frames/NNNNN.jpg; existing + * frames are skipped, so interrupted renders resume. --encode muxes them to MP4. + * Uses Playwright's Chromium with SwiftShader (no GPU needed). + */ +import { createServer } from 'node:http'; +import { readFile, mkdir, access } from 'node:fs/promises'; +import { extname, join, normalize } from 'node:path'; +import { fileURLToPath } from 'node:url'; +import { spawnSync } from 'node:child_process'; +import { createRequire } from 'node:module'; + +const require = createRequire(import.meta.url); +const { chromium } = require('playwright'); + +const HERE = fileURLToPath(new URL('.', import.meta.url)); +const ROOT = process.env.GEV_PROJECT_ROOT || join(HERE, '../..'); +const CESIUM = join(ROOT, 'node_modules/cesium/Build/Cesium'); +const SKY = join(ROOT, 'src/data/local_data/sky'); + +const args = Object.fromEntries( + process.argv.slice(2).reduce((acc, a, i, all) => { + if (a.startsWith('--')) acc.push([a.slice(2), all[i + 1] && !all[i + 1].startsWith('--') ? all[i + 1] : true]); + return acc; + }, []), +); +const FORMATS = { '16x9': [1920, 1080], '9x16': [1080, 1920], preview: [960, 540], 'preview-v': [540, 960] }; +const format = args.format || '16x9'; +const [W, H] = FORMATS[format]; +const FPS = Number(args.fps || 30); +const DUR = 45; +const total = Math.round(DUR * FPS); +const outDir = join(ROOT, 'output/rpo-replay', format); +const frameDir = join(outDir, 'frames'); + +const MIME = { + '.html': 'text/html', '.js': 'application/javascript', '.css': 'text/css', '.json': 'application/json', + '.png': 'image/png', '.jpg': 'image/jpeg', '.svg': 'image/svg+xml', '.wasm': 'application/wasm', + '.glb': 'model/gltf-binary', '.xml': 'application/xml', '.ktx2': 'image/ktx2', '.webp': 'image/webp', +}; + +function serve() { + const server = createServer(async (req, res) => { + const url = new URL(req.url, 'http://localhost'); + const p = decodeURIComponent(url.pathname); + const file = p.startsWith('/cesium/') + ? join(CESIUM, normalize(p.slice('/cesium/'.length))) + : p.startsWith('/sky/') + ? join(SKY, normalize(p.slice('/sky/'.length))) + : join(HERE, normalize(p === '/' ? 'scene.html' : p.slice(1))); + if (!file.startsWith(CESIUM) && !file.startsWith(SKY) && !file.startsWith(HERE)) { + res.writeHead(403).end(); + return; + } + try { + const body = await readFile(file); + res.writeHead(200, { 'Content-Type': MIME[extname(file)] || 'application/octet-stream' }); + res.end(body); + } catch { + res.writeHead(404).end(); + } + }); + return new Promise((r) => server.listen(0, '127.0.0.1', () => r(server))); +} + +async function exists(p) { + try { + await access(p); + return true; + } catch { + return false; + } +} + +function encode() { + const out = join(outDir, `cosmos2612-iceye-x36-${format}.mp4`); + const r = spawnSync('ffmpeg', [ + '-y', '-framerate', String(FPS), '-i', join(frameDir, '%05d.jpg'), + '-c:v', 'libx264', '-preset', 'slow', '-crf', '16', '-pix_fmt', 'yuv420p', '-movflags', '+faststart', + '-vf', 'format=yuv420p', out, + ], { stdio: 'inherit' }); + if (r.status !== 0) process.exit(r.status || 1); + console.log(out); +} + +if (args.encode) { + encode(); + process.exit(0); +} + +const server = await serve(); +const port = server.address().port; +const browser = await chromium.launch({ + args: ['--use-gl=angle', '--use-angle=swiftshader', '--enable-unsafe-swiftshader', '--ignore-gpu-blocklist', + '--disable-gpu-sandbox', '--enable-webgl'], +}); +const page = await browser.newPage({ viewport: { width: W, height: H }, deviceScaleFactor: 1 }); +page.on('console', (m) => { + if (m.type() === 'error' || m.type() === 'warning') console.log(`[page ${m.type()}]`, m.text()); +}); +page.on('pageerror', (e) => console.log('[pageerror]', e.message)); +await page.goto(`http://127.0.0.1:${port}/scene.html?w=${W}&h=${H}`); +await page.waitForFunction(() => window.rpo?.ready, null, { timeout: 180000 }); + +if (args.stills) { + const dir = join(outDir, 'stills'); + await mkdir(dir, { recursive: true }); + for (const s of String(args.stills).split(',').map(Number)) { + const t0 = Date.now(); + const info = await page.evaluate((x) => window.rpo.frame(x), s); + await page.screenshot({ path: join(dir, `s${s.toFixed(2).padStart(5, '0')}.jpg`), type: 'jpeg', quality: 92 }); + console.log(`still ${s}s sep=${(info.sep / 1000).toFixed(3)} km mag=${info.mag.toFixed(1)} ${Date.now() - t0} ms`); + } +} else { + await mkdir(frameDir, { recursive: true }); + const from = Number(args.from || 0); + const to = Math.min(Number(args.to || total), total); + const t0 = Date.now(); + let done = 0; + for (let f = from; f < to; f++) { + const path = join(frameDir, `${String(f).padStart(5, '0')}.jpg`); + if (await exists(path)) continue; + await page.evaluate((x) => window.rpo.frame(x), f / FPS); + await page.screenshot({ path, type: 'jpeg', quality: 94 }); + done++; + if (done % 25 === 0) { + const per = (Date.now() - t0) / done; + console.log(`${format} frame ${f}/${to} ${(per / 1000).toFixed(2)} s/frame eta ${(((to - f) * per) / 60000).toFixed(1)} min`); + } + } +} +await browser.close(); +server.close(); diff --git a/tools/rpo-replay/scene.html b/tools/rpo-replay/scene.html new file mode 100644 index 000000000..d16b5f5b2 --- /dev/null +++ b/tools/rpo-replay/scene.html @@ -0,0 +1,130 @@ + + + + +Cosmos 2612 / ICEYE-X36 replay + + + + + + +
+
+
+
+
+ +
+
+

+
+
SEPARATION
+
+
+
+
+
+ + + + diff --git a/tools/rpo-replay/scene.js b/tools/rpo-replay/scene.js new file mode 100644 index 000000000..8e2fb17de --- /dev/null +++ b/tools/rpo-replay/scene.js @@ -0,0 +1,914 @@ +/* global Cesium */ +// Deterministic frame renderer for the Cosmos 2612 / ICEYE-X36 replay. +// window.rpo.frame(seconds) sets every piece of state for one video instant, +// renders, and resolves once imagery and models have settled. + +const params = new URLSearchParams(location.search); +const W = Number(params.get('w') || 1920); +const H = Number(params.get('h') || 1080); +const PORTRAIT = H > W; +const U = PORTRAIT ? W / 1080 : W / 1920; +document.documentElement.style.setProperty('--u', `${U}px`); +if (PORTRAIT) document.body.classList.add('portrait'); + +const D = await (await fetch('data.json')).json(); +const T0 = Date.parse(D.t0); +const DT = D.dt; +const NS = D.sep_km.length; +const sec = (iso) => (Date.parse(iso) - T0) / 1000; +const DUR = 45; + +// --------------------------------------------------------------------------- +// Interpolation +// --------------------------------------------------------------------------- +function cr(arr, t, out, scale = 1) { + const x = Math.min(Math.max(t / DT, 1), NS - 3); + const i = Math.floor(x); + const u = x - i; + const u2 = u * u; + const u3 = u2 * u; + for (let k = 0; k < 3; k++) { + const p0 = arr[(i - 1) * 3 + k]; + const p1 = arr[i * 3 + k]; + const p2 = arr[(i + 1) * 3 + k]; + const p3 = arr[(i + 2) * 3 + k]; + out[k] = + 0.5 * scale * + (2 * p1 + (-p0 + p2) * u + (2 * p0 - 5 * p1 + 4 * p2 - p3) * u2 + (-p0 + 3 * p1 - 3 * p2 + p3) * u3); + if (out.length > 3) { + out[3 + k] = (0.5 * scale * ((-p0 + p2) + 2 * (2 * p0 - 5 * p1 + 4 * p2 - p3) * u + 3 * (-p0 + 3 * p1 - 3 * p2 + p3) * u2)) / DT; + } + } + return out; +} +const v3 = Cesium.Cartesian3; +const tmp6 = new Float64Array(6); +function x36Teme(t) { + cr(D.x36, t, tmp6, 1000); + return { r: new v3(tmp6[0], tmp6[1], tmp6[2]), v: new v3(tmp6[3], tmp6[4], tmp6[5]) }; +} +const tmp3 = new Float64Array(3); +function relAt(t) { + cr(D.rel, t, tmp3, 1); + return [tmp3[0], tmp3[1], tmp3[2]]; +} +function sepAt(t) { + const x = Math.min(Math.max(t / DT, 0), NS - 2); + const i = Math.floor(x); + return D.sep_km[i] + (D.sep_km[i + 1] - D.sep_km[i]) * (x - i); +} +function litAt(t) { + return D.lit[Math.round(Math.min(Math.max(t / DT, 0), NS - 1))] === '1'; +} +function basis(r, v) { + const R = v3.normalize(r, new v3()); + const N = v3.normalize(v3.cross(r, v, new v3()), new v3()); + const T = v3.cross(N, R, new v3()); + return { R, T, N }; +} +// Curvilinear placement: along-track offset is an arc on the anchor orbit. +function place(anchor, B, rel) { + const rm = v3.magnitude(anchor); + const th = rel[1] / rm; + const c = Math.cos(th); + const s = Math.sin(th); + const Rp = new v3(B.R.x * c + B.T.x * s, B.R.y * c + B.T.y * s, B.R.z * c + B.T.z * s); + const out = v3.multiplyByScalar(Rp, rm + rel[0], new v3()); + return v3.add(out, v3.multiplyByScalar(B.N, rel[2], new v3()), out); +} + +// --------------------------------------------------------------------------- +// Time maps. tau(s): simulation clock. b(s): backdrop/anchor clock (Earth and +// lighting), equal to tau around closest approach. +// --------------------------------------------------------------------------- +const CA_T = sec(D.ca.t); +const VANTOR_T = sec(D.vantor.t); +const TAU_KEYS = [ + [0.0, '2026-09-30T07:30:00Z'], + [4.0, '2026-09-30T10:20:00Z'], + [7.0, '2026-09-30T13:00:00Z'], + [12.5, '2026-10-11T23:20:00Z'], + [15.0, '2026-10-12T03:20:00Z'], + [17.0, '2026-10-15T01:30:00Z'], + [18.6, '2026-10-15T04:40:00Z'], + [20.6, '2026-10-16T04:40:00Z'], + [22.2, '2026-10-16T07:40:00Z'], + [25.8, '2026-10-17T15:40:00Z'], + [27.6, '2026-10-17T18:10:00Z'], + [29.8, D.ca.t, -14 * 60], + [35.0, D.ca.t, 11 * 60], + [36.4, '2026-10-18T07:00:00Z'], + [40.6, '2026-10-21T10:00:00Z'], + [45.0, '2026-10-21T13:00:00Z'], +].map(([s, iso, off = 0]) => [s, sec(iso) + off]); + +function monotone(keys) { + const n = keys.length; + const xs = keys.map((k) => k[0]); + const ys = keys.map((k) => k[1]); + const d = []; + for (let i = 0; i < n - 1; i++) d.push((ys[i + 1] - ys[i]) / (xs[i + 1] - xs[i])); + // Geometric-mean slopes keep huge rate swings smooth in log-space. + const m = [d[0]]; + for (let i = 1; i < n - 1; i++) m.push(Math.sqrt(d[i - 1] * d[i])); + m.push(d[n - 2]); + for (let i = 0; i < n - 1; i++) { + const a = m[i] / d[i]; + const b = m[i + 1] / d[i]; + const h = a * a + b * b; + if (h > 9) { + const t = 3 / Math.sqrt(h); + m[i] = t * a * d[i]; + m[i + 1] = t * b * d[i]; + } + } + const f = (s) => { + let i = 0; + while (i < n - 2 && s > xs[i + 1]) i++; + const hh = xs[i + 1] - xs[i]; + const t = Math.min(Math.max((s - xs[i]) / hh, 0), 1); + const t2 = t * t; + const t3 = t2 * t; + return ( + (2 * t3 - 3 * t2 + 1) * ys[i] + (t3 - 2 * t2 + t) * hh * m[i] + (-2 * t3 + 3 * t2) * ys[i + 1] + (t3 - t2) * hh * m[i + 1] + ); + }; + return f; +} +const tau = monotone(TAU_KEYS); +const rate = (s) => (tau(s + 0.01) - tau(s - 0.01)) / 0.02; + +const S_SYNC0 = 29.8; +const S_SYNC1 = 35.0; +function hermite(s, s0, y0, m0, s1, y1, m1) { + const h = s1 - s0; + const t = (s - s0) / h; + const t2 = t * t; + const t3 = t2 * t; + return (2 * t3 - 3 * t2 + 1) * y0 + (t3 - 2 * t2 + t) * h * m0 + (-2 * t3 + 3 * t2) * y1 + (t3 - t2) * h * m1; +} +const BG_RATE = 110; +function bclock(s) { + if (s >= S_SYNC0 && s <= S_SYNC1) return tau(s); + if (s < S_SYNC0) { + const y1 = tau(S_SYNC0); + return hermite(s, 0, y1 - S_SYNC0 * BG_RATE * 1.15, BG_RATE, S_SYNC0, y1, rate(S_SYNC0)); + } + const y0 = tau(S_SYNC1); + return hermite(s, S_SYNC1, y0, rate(S_SYNC1), DUR, y0 + (DUR - S_SYNC1) * BG_RATE * 1.2, BG_RATE); +} +function sOfTau(t) { + let lo = 0; + let hi = DUR; + for (let k = 0; k < 50; k++) { + const mid = (lo + hi) / 2; + if (tau(mid) < t) lo = mid; + else hi = mid; + } + return lo; +} + +// --------------------------------------------------------------------------- +// Story: captions, events, camera +// --------------------------------------------------------------------------- +const fmtKm = (km) => (km >= 100 ? `${Math.round(km).toLocaleString('en-US')}` : km >= 10 ? km.toFixed(0) : km.toFixed(1)); + +const CAPTIONS = [ + { + s0: 0.2, s1: 4.3, + kicker: 'Low Earth orbit · 540 km · Sep 30 – Oct 21, 2026', + title: 'Hunting a radar satellite', + body: 'Over three weeks, Russia\'s military satellite Cosmos 2612 stalked ICEYE-X36, a U.S.-registered radar imager whose pictures help Ukraine — and closed to a few hundred meters.', + }, + { + s0: 4.5, s1: 12.3, + kicker: '1 · Phasing', + title: 'Climb high, fall behind', + body: 'Two burns lift Cosmos 2612 47 km above its target. A higher orbit is slower, so it drifts back ~6,500 km a day and laps X36 — while Earth\'s equatorial bulge slowly swings its orbit plane into line.', + }, + { + s0: 12.6, s1: 21.9, + kicker: '2 · Descent', + title: 'Drop into the same orbit', + body: 'Directly overhead on Oct 12, it drops 47 km into X36\'s orbit, 480 km behind. On Oct 15 a 2 km dip makes it slightly faster: it closes ~350 km a day — then brakes 3 km behind.', + }, + { + s0: 22.1, s1: 29.6, + kicker: '3 · Proximity', + title: 'Close enough to inspect', + body: 'For two days it holds station behind X36, its path looping 1.6 km each orbit as it creeps forward. These are the maneuvers of an inspector: they need fuel, planning, and sensors that can find the target.', + }, + { + s0: 29.8, s1: 35.6, + kicker: '3 · Closest approach', + title: 'In Earth\'s shadow', + body: 'Early on Oct 18, during orbital night, it passes about %CA% m behind X36 at under 1 m/s. Published estimates range from 150 to 650 m. Nine minutes later, the sun comes up.', + }, + { + s0: 35.8, s1: 41.0, + kicker: '4 · Departure', + title: 'Back off, and wait', + body: 'A 1.3 m/s burn lifts it 2.4 km and it falls away at ~350 km a day. On Oct 19 it matches orbits again — and today it is still parked 480 km behind.', + }, +]; + +const BURNS = D.burns.map((b) => ({ ...b, t: sec(b.t) })); +const BURN_NOTES = { + 'Phasing raise': '+46 km', + 'Plane trim': 'out-of-plane', + 'Descent to X36 orbit': '−47 km', + 'Closing burn': '−2.3 km', + 'Braking burn': '+2.5 km', + 'Back-off': '+0.13 km', + 'Departure burn': '+2.4 km', + 'Re-match orbit': '−2.6 km', +}; +const EVENTS = [ + ...BURNS.map((b) => ({ t: b.t, kind: 'burn', title: `BURN · Δv ${b.dv < 1 ? b.dv.toFixed(2) : b.dv.toFixed(1)} m/s`, sub: `${b.label} · ${BURN_NOTES[b.label] || ''}`, at: 'cosmos' })), + { t: sec('2026-10-05T11:55:00Z'), kind: 'note', title: 'OVERHEAD PASS', sub: '~50 km above X36', at: 'cosmos' }, + { t: sec('2026-10-12T00:10:00Z'), kind: 'note', title: 'OVERHEAD PASS', sub: '47 km directly above', at: 'cosmos' }, + { t: VANTOR_T, kind: 'vantor', title: 'VANTOR IMAGES THE PAIR', sub: `from orbit · ~${D.vantor.km.toFixed(1)} km apart · Oct 17`, at: 'mid' }, + { t: CA_T, kind: 'ca', title: `CLOSEST APPROACH · ~${Math.round(D.ca.m / 5) * 5} m`, sub: `${D.ca.t.slice(11, 16)} UTC Oct 18 · est. range 150–650 m`, at: 'mid' }, +].map((e) => ({ ...e, s: sOfTau(e.t) })); +// Two burns that land in the same instant only show once. +EVENTS.sort((a, b) => a.s - b.s); + +// Camera keys, in X36's local frame (R up, T velocity, N orbit normal). +// dist: metres (or auto = f * separation, floored at min). az: 0 = behind X36 +// looking forward. look: 0 = X36, 1 = Cosmos. earth: pull aim to Earth centre. +const WIDE = { f: 0, look: 0, earth: 0.86, fov: 40, mag: 0, sun: 0.55 }; +const CAM = [ + { s: 0.0, ...WIDE, dist: 5.4e7, az: 82, el: 36, trail: 2 }, + { s: 6.0, ...WIDE, dist: 4.6e7, az: 96, el: 34, trail: 20 }, + { s: 12.5, ...WIDE, dist: 4.4e7, az: 118, el: 30, trail: 30 }, + { s: 12.5, cut: true, dist: 6.0e5, f: 2.8, az: 50, el: 38, look: 0.5, earth: 0, fov: 34, mag: 0, trail: 3 }, + { s: 15.4, dist: 1.6e6, f: 2.8, az: 32, el: 36, look: 0.5, earth: 0, fov: 34, mag: 0, trail: 8 }, + { s: 18.0, dist: 1.4e6, f: 2.8, az: 26, el: 34, look: 0.5, earth: 0, fov: 34, mag: 0, trail: 12 }, + { s: 20.4, dist: 4.0e4, f: 2.8, az: 40, el: 32, look: 0.5, earth: 0, fov: 34, mag: 0, trail: 10 }, + { s: 22.4, dist: 6.5e3, f: 0, az: 58, el: 34, look: 0.45, earth: 0, fov: 36, mag: 1, trail: 9 }, + { s: 26.0, dist: 4.6e3, f: 0, az: 76, el: 30, look: 0.5, earth: 0, fov: 36, mag: 1, trail: 9 }, + { s: 28.8, dist: 2.2e3, f: 0, az: 100, el: 22, look: 0.4, earth: 0, fov: 36, mag: 1, trail: 4 }, + { s: 29.9, dist: 12, f: 0, az: 96, el: 16, look: 0.0, earth: 0, fov: 40, mag: 0, trail: 0.3 }, + { s: 30.8, dist: 13, f: 0, az: 122, el: 14, look: 0.0, earth: 0, fov: 40, mag: 0, trail: 0.3 }, + { s: 31.6, dist: 18, f: 0, az: 168, el: 9, look: 0.0, earth: 0, fov: 40, mag: 0, trail: 0.3, aimRel: [0, -60, 0] }, + { s: 32.6, dist: 1.0e3, f: 0, az: 112, el: 26, look: 0.5, earth: 0, fov: 36, mag: 1, trail: 1.2 }, + { s: 35.0, dist: 1.3e3, f: 0, az: 96, el: 18, look: 0.5, earth: 0, fov: 36, mag: 1, trail: 1.6 }, + { s: 36.6, dist: 1.2e4, f: 2.8, az: 110, el: 30, look: 0.4, earth: 0, fov: 36, mag: 1, trail: 4 }, + { s: 39.0, dist: 9.0e5, f: 2.8, az: 60, el: 30, look: 0.5, earth: 0, fov: 34, mag: 0, trail: 30 }, + { s: 41.2, dist: 2.0e6, f: 2.8, az: 44, el: 30, look: 0.5, earth: 0, fov: 34, mag: 0, trail: 60 }, + { s: 41.2, cut: true, ...WIDE, dist: 4.8e7, az: 80, el: 34, trail: 60 }, + { s: 45.0, ...WIDE, dist: 4.2e7, az: 96, el: 32, trail: 60 }, +]; +const CUTS = CAM.filter((k) => k.cut).map((k) => k.s); +const smooth = (x) => x * x * x * (x * (x * 6 - 15) + 10); +function camAt(s) { + // Keys are grouped into shots at cut keys; interpolation never crosses a cut. + let start = 0; + for (let k = 1; k < CAM.length; k++) if (CAM[k].cut && s >= CAM[k].s) start = k; + let end = CAM.length - 1; + for (let k = start + 1; k < CAM.length; k++) if (CAM[k].cut) { end = k - 1; break; } + let i = start; + while (i < end - 1 && s > CAM[i + 1].s) i++; + const a = CAM[i]; + const b = CAM[Math.min(i + 1, end)]; + const u = b === a ? 0 : smooth(Math.min(Math.max((s - a.s) / (b.s - a.s), 0), 1)); + const lerp = (x, y) => x + (y - x) * u; + const ar = a.aimRel || [0, 0, 0]; + const br = b.aimRel || [0, 0, 0]; + return { + dist: Math.exp(lerp(Math.log(a.dist), Math.log(b.dist))), + f: lerp(a.f, b.f), + az: lerp(a.az, b.az), + el: lerp(a.el, b.el), + look: lerp(a.look, b.look), + earth: lerp(a.earth, b.earth), + fov: lerp(a.fov, b.fov), + mag: lerp(a.mag, b.mag), + trail: Math.exp(lerp(Math.log(a.trail), Math.log(b.trail))), + aimRel: [0, 1, 2].map((k) => lerp(ar[k], br[k])), + sun: lerp(a.sun || 0, b.sun || 0), + }; +} + +// --------------------------------------------------------------------------- +// Cesium scene +// --------------------------------------------------------------------------- +const esri = await Cesium.ArcGisMapServerImageryProvider.fromUrl( + 'https://services.arcgisonline.com/ArcGIS/rest/services/World_Imagery/MapServer', + { enablePickFeatures: false, maximumLevel: 11 }, +); +const viewer = new Cesium.Viewer('globe', { + baseLayer: new Cesium.ImageryLayer(esri, { brightness: 0.92, contrast: 1.08, gamma: 1.05 }), + animation: false, timeline: false, baseLayerPicker: false, geocoder: false, homeButton: false, + sceneModePicker: false, navigationHelpButton: false, fullscreenButton: false, infoBox: false, + selectionIndicator: false, useDefaultRenderLoop: false, shouldAnimate: false, + contextOptions: { webgl: { preserveDrawingBuffer: true, alpha: false } }, + msaaSamples: 1, +}); +const scene = viewer.scene; +// Night side: NASA Black Marble city lights (keyless GIBS tiles). +const nightLayer = viewer.imageryLayers.addImageryProvider(new Cesium.UrlTemplateImageryProvider({ + url: 'https://gibs.earthdata.nasa.gov/wmts/epsg3857/best/VIIRS_Black_Marble/default/2016-01-01/GoogleMapsCompatible_Level8/{z}/{y}/{x}.png', + maximumLevel: 8, credit: 'NASA Black Marble', +})); +nightLayer.dayAlpha = 0.0; +nightLayer.nightAlpha = 1.0; +nightLayer.brightness = 1.6; +viewer.imageryLayers.get(0).nightAlpha = 0.0; +// Sky: ESO Milky Way cube (stars removed) + Yale Bright Star Catalogue points. +scene.skyBox = new Cesium.SkyBox({ sources: Object.fromEntries( + [['positiveX', 'px'], ['negativeX', 'nx'], ['positiveY', 'py'], ['negativeY', 'ny'], ['positiveZ', 'pz'], ['negativeZ', 'nz']] + .map(([k, f]) => [k, `/sky/milkyway_${f}.webp`])) }); +const starData = await (await fetch('/sky/bright_stars.json')).json(); +const starArr = Array.isArray(starData) ? starData : starData.stars || starData.data; +const stars = scene.primitives.add(new Cesium.PointPrimitiveCollection({ blendOption: Cesium.BlendOption.TRANSLUCENT })); +const starDirs = []; +for (let i = 0; i + 3 < starArr.length; i += 4) { + const [ra, dec, vm, bv] = [starArr[i], starArr[i + 1], starArr[i + 2], starArr[i + 3]]; + const r = Cesium.Math.toRadians(ra); + const d = Cesium.Math.toRadians(dec); + const dir = new Cesium.Cartesian3(Math.cos(d) * Math.cos(r), Math.cos(d) * Math.sin(r), Math.sin(d)); + const b = Math.min(1, Math.sqrt(10 ** (-0.4 * ((Number.isFinite(vm) ? vm : 6.5) - 6.5))) / 9); + const t = Math.min(Math.max(((Number.isFinite(bv) ? bv : 0.6) + 0.3) / 2.0, 0), 1); + const col = new Cesium.Color(0.78 + 0.22 * t, 0.84 + 0.06 * (1 - Math.abs(t - 0.4)), 1.0 - 0.3 * t, 0.25 + 0.75 * b); + starDirs.push(dir); + stars.add({ position: dir, color: col, pixelSize: 0.9 + 2.6 * b }); +} + +const globe = scene.globe; +globe.enableLighting = true; +globe.dynamicAtmosphereLighting = true; +globe.dynamicAtmosphereLightingFromSun = true; +globe.showGroundAtmosphere = true; +globe.atmosphereLightIntensity = 9; +globe.lightingFadeOutDistance = 1; +globe.lightingFadeInDistance = 2; +globe.nightFadeOutDistance = 1e10; +globe.nightFadeInDistance = 1e10; +globe.maximumScreenSpaceError = 1.6; +globe.tileCacheSize = 1500; +globe.preloadSiblings = false; +globe.baseColor = Cesium.Color.fromCssColorString('#04070d'); +scene.fog.enabled = false; +scene.skyAtmosphere.show = true; +scene.skyAtmosphere.atmosphereLightIntensity = 10; +scene.highDynamicRange = false; +scene.sun.glowFactor = 1.6; +scene.moon.show = true; +scene.postProcessStages.fxaa.enabled = true; +scene.backgroundColor = Cesium.Color.BLACK; +scene.screenSpaceCameraController.enableInputs = false; +scene.camera.frustum.near = 0.5; +scene.camera.frustum.far = 1e9; +viewer.resolutionScale = 1; +const bloom = scene.postProcessStages.bloom; +bloom.enabled = false; +bloom.uniforms.contrast = 119; +bloom.uniforms.brightness = -0.42; +bloom.uniforms.glowOnly = false; +bloom.uniforms.delta = 1.0; +bloom.uniforms.sigma = 3.2; +bloom.uniforms.stepSize = 1.0; + +const COL_X36 = Cesium.Color.fromCssColorString('#5ce1e6'); +const COL_COS = Cesium.Color.fromCssColorString('#ff5a3c'); +const COL_BURN = Cesium.Color.fromCssColorString('#ffb547'); + +const modelOpts = { upAxis: Cesium.Axis.Z, forwardAxis: Cesium.Axis.X, shadows: Cesium.ShadowMode.DISABLED }; +const mX36 = await Cesium.Model.fromGltfAsync({ url: 'iceye-x36.glb', ...modelOpts }); +const mCos = await Cesium.Model.fromGltfAsync({ url: 'cosmos-2612.glb', ...modelOpts }); +scene.primitives.add(mX36); +scene.primitives.add(mCos); +for (const m of [mX36, mCos]) { + m.environmentMapOptions = { enabled: false }; + m.imageBasedLighting.sphericalHarmonicCoefficients = undefined; +} + +function glowCanvas(color, core = 0.18) { + const c = document.createElement('canvas'); + c.width = c.height = 128; + const g = c.getContext('2d'); + const grd = g.createRadialGradient(64, 64, 0, 64, 64, 64); + grd.addColorStop(0, 'rgba(255,255,255,1)'); + grd.addColorStop(core, color.withAlpha(1).toCssColorString()); + grd.addColorStop(0.45, color.withAlpha(0.28).toCssColorString()); + grd.addColorStop(1, color.withAlpha(0).toCssColorString()); + g.fillStyle = grd; + g.fillRect(0, 0, 128, 128); + return c; +} +const billboards = scene.primitives.add(new Cesium.BillboardCollection({ scene })); +const bX36 = billboards.add({ image: glowCanvas(COL_X36), scale: 0.3 * U, disableDepthTestDistance: 0 }); +const bCos = billboards.add({ image: glowCanvas(COL_COS), scale: 0.3 * U, disableDepthTestDistance: 0 }); +const bBurn = billboards.add({ image: glowCanvas(COL_BURN, 0.08), scale: 0, disableDepthTestDistance: 0 }); + +let dynamic = []; +function clearDynamic() { + for (const p of dynamic) scene.primitives.remove(p); + dynamic = []; +} +function polyline(positions, colors, width) { + if (positions.length < 2) return; + const p = new Cesium.Primitive({ + geometryInstances: new Cesium.GeometryInstance({ + geometry: new Cesium.PolylineGeometry({ + positions, colors, colorsPerVertex: true, width: width * U, arcType: Cesium.ArcType.NONE, + }), + }), + appearance: new Cesium.PolylineColorAppearance({ translucent: true }), + asynchronous: false, + }); + scene.primitives.add(p); + dynamic.push(p); +} + +// --------------------------------------------------------------------------- +// HUD +// --------------------------------------------------------------------------- +const $ = (q) => document.querySelector(q); +const capEl = $('#caption'); +const tagsEl = $('#tags'); +const leaders = $('#leaders'); +const callEl = $('#callouts'); +leaders.setAttribute('viewBox', `0 0 ${W} ${H}`); + +function fade(s, s0, s1, ramp = 0.45) { + return Math.min(1, Math.max(0, (s - s0) / ramp), Math.max(0, (s1 - s) / ramp)); +} + +function fmtRate(r) { + const p = 10 ** Math.floor(Math.log10(r) - 1); + const rr = Math.round(r / p) * p; + const real = rr; + let per; + if (real < 60) per = `${real.toFixed(0)} s`; + else if (real < 3600) per = `${(real / 60).toFixed(real < 600 ? 1 : 0)} min`; + else if (real < 86400) per = `${(real / 3600).toFixed(real < 36000 ? 1 : 0)} h`; + else per = `${(real / 86400).toFixed(1)} days`; + return `×${rr.toLocaleString('en-US')} · 1 s = ${per}`; +} + +// Separation chart (log scale), drawn once and revealed by a clip. +const CH = { t0: sec('2026-09-30T00:00:00Z'), t1: sec('2026-10-21T18:00:00Z'), lo: 0.1, hi: 20000 }; +const chartBox = $('#chart'); +function buildChart() { + const cw = chartBox.clientWidth; + const ch = chartBox.clientHeight; + const padL = 70 * U; + const padT = 34 * U; + const padB = 26 * U; + const x = (t) => padL + ((t - CH.t0) / (CH.t1 - CH.t0)) * (cw - padL); + const y = (km) => padT + (1 - (Math.log10(km) - Math.log10(CH.lo)) / (Math.log10(CH.hi) - Math.log10(CH.lo))) * (ch - padT - padB); + const cols = Math.round(cw - padL); + let lo = ''; + let hi = ''; + const ptsHi = []; + for (let c = 0; c <= cols; c++) { + const ta = CH.t0 + (c / cols) * (CH.t1 - CH.t0); + const tb = CH.t0 + ((c + 1) / cols) * (CH.t1 - CH.t0); + let mn = Infinity; + let mx = 0; + for (let i = Math.floor(ta / DT); i <= Math.ceil(tb / DT); i++) { + const v = D.sep_km[Math.min(Math.max(i, 0), NS - 1)]; + mn = Math.min(mn, v); + mx = Math.max(mx, v); + } + mn = Math.max(mn, CH.lo); + lo += `${c ? 'L' : 'M'}${(padL + c).toFixed(1)},${y(mn).toFixed(1)}`; + ptsHi.push(`${(padL + c).toFixed(1)},${y(mx).toFixed(1)}`); + } + hi = 'L' + ptsHi.reverse().join('L'); + const grid = [0.1, 1, 10, 100, 1000, 10000] + .map((v) => { + const lab = v < 1 ? '100 m' : v < 1000 ? `${v} km` : `${(v).toLocaleString('en-US')} km`; + return ` + ${lab}`; + }) + .join(''); + const days = []; + for (let d = 0; d <= 21; d++) { + const t = sec(`2026-${d < 1 ? '09-30' : `10-${String(d).padStart(2, '0')}`}T00:00:00Z`); + const major = d === 0 || d % (PORTRAIT ? 7 : 3) === 0; + days.push(``); + if (major) { + days.push(`${d === 0 ? 'SEP 30' : `OCT ${d}`}`); + } + } + const burns = BURNS.map( + (b) => ` + `, + ).join(''); + const caX = x(CA_T); + const caY = y(D.ca.m / 1000); + chartBox.innerHTML = ` + + DISTANCE BETWEEN THE SATELLITES · LOG SCALE + ▼ BURN + ${grid}${days.join('')}${burns} + + + + + + + + ~${Math.round(D.ca.m / 5) * 5} m + + + `; + return { x, y }; +} +const chart = buildChart(); + +function tag(id, cls) { + let el = document.getElementById(id); + if (!el) { + el = document.createElement('div'); + el.id = id; + el.className = `tag ${cls}`; + el.innerHTML = '
'; + tagsEl.appendChild(el); + } + return el; +} + +function project(world) { + const p = Cesium.SceneTransforms.worldToWindowCoordinates(scene, world); + if (!p) return null; + // Behind-camera / occluded test + const cam = scene.camera; + const d = v3.subtract(world, cam.positionWC, new v3()); + if (v3.dot(d, cam.directionWC) <= 0) return null; + const ray = v3.normalize(d, new v3()); + const hit = Cesium.IntersectionTests.rayEllipsoid(new Cesium.Ray(cam.positionWC, ray), Cesium.Ellipsoid.WGS84); + if (hit && hit.start * 1.0005 < v3.magnitude(d)) return { ...p, hidden: true }; + return p; +} + +// --------------------------------------------------------------------------- +// Frame +// --------------------------------------------------------------------------- +const M = new Cesium.Matrix3(); +function toWorld(teme, jd) { + return Cesium.Matrix3.multiplyByVector(M, teme, new v3()); +} + +function modelMatrix(pos, X, Y, scale) { + const Z = v3.cross(X, Y, new v3()); + const m = new Cesium.Matrix4( + X.x * scale, Y.x * scale, Z.x * scale, pos.x, + X.y * scale, Y.y * scale, Z.y * scale, pos.y, + X.z * scale, Y.z * scale, Z.z * scale, pos.z, + 0, 0, 0, 1, + ); + return m; +} + +function eclipseLight(worldPos, sunW) { + // Cylindrical shadow with a soft edge. + const p = v3.dot(worldPos, sunW); + if (p > 0) return 1; + const perp = v3.magnitude(v3.subtract(worldPos, v3.multiplyByScalar(sunW, p, new v3()), new v3())); + const e = (perp - 6.371e6) / 6e4; + return Math.min(1, Math.max(0, 0.5 + e)); +} + +async function frame(s) { + const t = tau(s); + const b = bclock(s); + const jd = Cesium.JulianDate.addSeconds(Cesium.JulianDate.fromIso8601(D.t0), b, new Cesium.JulianDate()); + Cesium.Transforms.computeTemeToPseudoFixedMatrix(jd, M); + const cam = camAt(s); + + // Anchor (X36 at backdrop time) and relative state at simulation time. + const A = x36Teme(b); + const B = basis(A.r, A.v); + const rel = relAt(t); + const x36W = toWorld(A.r); + const cosW = toWorld(place(A.r, B, rel)); + const RW = toWorld(B.R); + const TW = toWorld(B.T); + const NW = toWorld(B.N); + const sep = v3.distance(x36W, cosW); + + // Camera + const sunW = v3.normalize(Cesium.Simon1994PlanetaryPositions.computeSunPositionInEarthInertialFrame(jd, new v3()), new v3()); + Cesium.Matrix3.multiplyByVector(Cesium.Transforms.computeIcrfToFixedMatrix(jd) || M, sunW, sunW); + v3.normalize(sunW, sunW); + // Camera orbits a pivot on the X36 -> Cosmos line; aimRel only tilts the gaze. + const pivot = v3.lerp(x36W, cosW, cam.look, new v3()); + v3.lerp(pivot, v3.ZERO, cam.earth, pivot); + const aim = v3.clone(pivot); + v3.add(aim, v3.multiplyByScalar(RW, cam.aimRel[0], new v3()), aim); + v3.add(aim, v3.multiplyByScalar(TW, cam.aimRel[1], new v3()), aim); + v3.add(aim, v3.multiplyByScalar(NW, cam.aimRel[2], new v3()), aim); + const dist = Math.max(cam.dist, cam.f * sep); + const az = Cesium.Math.toRadians(cam.az); + const el = Cesium.Math.toRadians(cam.el); + const off = new v3(); + v3.add(off, v3.multiplyByScalar(TW, -Math.cos(el) * Math.cos(az), new v3()), off); + v3.add(off, v3.multiplyByScalar(NW, Math.cos(el) * Math.sin(az), new v3()), off); + v3.add(off, v3.multiplyByScalar(RW, Math.sin(el), new v3()), off); + if (cam.sun > 0) { + v3.normalize(v3.add(v3.multiplyByScalar(off, 1 - cam.sun, off), v3.multiplyByScalar(sunW, cam.sun, new v3()), off), off); + } + const camPos = v3.add(pivot, v3.multiplyByScalar(off, dist, new v3()), new v3()); + const minR = 6.371e6 + 1.2e5; + if (v3.magnitude(camPos) < minR) v3.multiplyByScalar(v3.normalize(camPos, camPos), minR, camPos); + const dir = v3.normalize(v3.subtract(aim, camPos, new v3()), new v3()); + const right = v3.normalize(v3.cross(dir, RW, new v3()), new v3()); + const up = v3.cross(right, dir, new v3()); + scene.camera.setView({ destination: camPos, orientation: { direction: dir, up } }); + scene.camera.frustum.fov = Cesium.Math.toRadians(PORTRAIT ? cam.fov * 1.55 : cam.fov); + { + const icrf = Cesium.Transforms.computeIcrfToFixedMatrix(jd) || M; + const tmp = new v3(); + for (let i = 0; i < starDirs.length; i++) { + Cesium.Matrix3.multiplyByVector(icrf, starDirs[i], tmp); + stars.get(i).position = v3.add(camPos, v3.multiplyByScalar(tmp, 3e8, tmp), new v3()); + } + } + scene.camera.frustum.near = Math.max(0.2, Math.min(dist * 0.02, 1000)); + + // Models: attitude, magnification, lighting + const camDistX = v3.distance(camPos, x36W); + const camDistC = v3.distance(camPos, cosW); + const pxPerRad = (PORTRAIT ? W : W) / (2 * Math.tan(scene.camera.frustum.fov / 2)); + const targetPx = 110 * U; // magnified apparent size + const magFor = (d, size) => Math.max(1, (targetPx * d) / (pxPerRad * size)); + const magX = 1 + (magFor(camDistX, 3.25) - 1) * cam.mag; + const magC = 1 + (magFor(camDistC, 3.6) - 1) * cam.mag; + const MAG_MAX = 150; // beyond this, a glyph is more honest than a giant model + const rawMag = Math.max(1, Math.min(magX, magC)); + const mag = rawMag > MAG_MAX ? 1 : rawMag; + const nearScale = Math.min(1, Math.max(0, cam.mag * 2)); + mX36.show = (cam.mag > 0.01 && rawMag <= MAG_MAX) || camDistX < 3000; + mCos.show = (cam.mag > 0.01 && rawMag <= MAG_MAX) || camDistC < 6000; + mX36.modelMatrix = modelMatrix(x36W, TW, RW, mag); + // Cosmos points its sensor at X36 when close, otherwise flies prograde. + const toX = v3.normalize(v3.subtract(x36W, cosW, new v3()), new v3()); + const w = Math.min(1, Math.max(0, (60e3 - sep) / 40e3)); + const cx = v3.normalize(v3.lerp(TW, toX, w, new v3()), new v3()); + const cy = v3.normalize(v3.subtract(RW, v3.multiplyByScalar(cx, v3.dot(RW, cx), new v3()), new v3()), new v3()); + mCos.modelMatrix = modelMatrix(cosW, cx, cy, mag); + const lx = eclipseLight(x36W, sunW); + const lc = eclipseLight(cosW, sunW); + // In Earth's shadow a dim blue fill keeps the shapes legible. + const lightFor = (l) => new v3(0.6 + (2.3 - 0.6) * l, 0.66 + (2.3 - 0.66) * l, 0.92 + (2.3 - 0.92) * l); + mX36.lightColor = lightFor(lx); + mCos.lightColor = lightFor(lc); + + // Glows: shown when the model is too small to read. + const pxX = (3.25 * mag * pxPerRad) / camDistX; + const pxC = (3.6 * mag * pxPerRad) / camDistC; + bX36.position = x36W; + bCos.position = cosW; + bX36.scale = (pxX > 24 ? 0.12 : 0.28) * U; + bCos.scale = (pxC > 24 ? 0.12 : 0.28) * U; + bX36.color = Cesium.Color.WHITE.withAlpha(pxX > 40 ? 0 : 1); + bCos.color = Cesium.Color.WHITE.withAlpha(pxC > 40 ? 0 : 1); + + // Burn flare + let flare = 0; + for (const bn of BURNS) { + const sb = sOfTauCached(bn.t); + const k = (s - sb) / 0.9; + if (k > -0.08 && k < 1) flare = Math.max(flare, k < 0 ? 1 + k / 0.08 : (1 - k) ** 1.6); + } + bBurn.position = cosW; + bBurn.scale = flare * 0.9 * U; + bBurn.color = Cesium.Color.WHITE.withAlpha(flare); + + // Trails and reference geometry + clearDynamic(); + // X36 orbit ring (inertial, at the anchor epoch); fades out up close. + const ringA = Math.min(1, Math.max(0, (camDistX - 1.5e4) / 6e4)); + if (ringA > 0.01) { + const P = 5730; + const pts = []; + const cols = []; + const n = 240; + for (let k = 0; k <= n; k++) { + const tt = b - P + (k / n) * P; + pts.push(toWorld(x36Teme(tt).r)); + const a = 0.06 + 0.5 * (k / n) ** 3; + cols.push(COL_X36.withAlpha(a * ringA)); + } + polyline(pts, cols, 1.6); + } + // Cosmos relative trail, expressed in the current anchor frame + { + const span = cam.trail * 3600; + const n = Math.min(900, Math.max(60, Math.round(span / 45))); + const pts = []; + const cols = []; + for (let k = 0; k <= n; k++) { + const tt = t - span + (k / n) * span; + if (tt < 0) continue; + pts.push(toWorld(place(A.r, B, relAt(tt)))); + cols.push(COL_COS.withAlpha(0.04 + 0.92 * (k / n) ** 1.8)); + } + pts.push(cosW); + cols.push(COL_COS.withAlpha(1)); + polyline(pts, cols, 2.4); + } + // Separation line when the pair is within view range + if (sep < 900e3) { + const a = Math.min(1, (900e3 - sep) / 200e3) * 0.55; + polyline([x36W, cosW], [Cesium.Color.WHITE.withAlpha(a * 0.25), Cesium.Color.WHITE.withAlpha(a * 0.25)], 1); + } + // RIC reference rings (orbital plane) during proximity + const gridA = Math.min(1, Math.max(0, (8e3 - Math.max(sep, camDistX)) / 3e3)) * (cam.mag > 0.4 ? 1 : 0.35); + if (gridA > 0.01) { + for (const r of [500, 1000, 2000]) { + const pts = []; + const cols = []; + for (let k = 0; k <= 120; k++) { + const a = (k / 120) * Math.PI * 2; + const p = v3.add(x36W, v3.multiplyByScalar(RW, r * Math.sin(a), new v3()), new v3()); + v3.add(p, v3.multiplyByScalar(TW, r * Math.cos(a), new v3()), p); + pts.push(p); + cols.push(Cesium.Color.WHITE.withAlpha(0.16 * gridA)); + } + polyline(pts, cols, 1); + } + const ax = (vec, len, col) => polyline( + [v3.add(x36W, v3.multiplyByScalar(vec, -len, new v3()), new v3()), v3.add(x36W, v3.multiplyByScalar(vec, len, new v3()), new v3())], + [col.withAlpha(0), col.withAlpha(0)], 1, + ); + polyline([x36W, v3.add(x36W, v3.multiplyByScalar(TW, 2600, new v3()), new v3())], [COL_X36.withAlpha(0.5 * gridA), COL_X36.withAlpha(0)], 1.5); + polyline([x36W, v3.add(x36W, v3.multiplyByScalar(RW, 1400, new v3()), new v3())], [Cesium.Color.WHITE.withAlpha(0.4 * gridA), Cesium.Color.WHITE.withAlpha(0)], 1.5); + void ax; + } + + updateHud(s, t, b, { x36W, cosW, RW, TW, NW, rel, sep, mag, gridA, lx, camDistX, jd }); + // Render; re-render only while imagery is still streaming in. + scene.render(jd); + for (let k = 0; k < 60 && !(globe.tilesLoaded && mX36.ready && mCos.ready); k++) { + await new Promise((r) => setTimeout(r, 30)); + scene.render(jd); + } + const gl = scene.context._gl; + gl.readPixels(0, 0, 1, 1, gl.RGBA, gl.UNSIGNED_BYTE, new Uint8Array(4)); + const dbg = { pX: Cesium.SceneTransforms.worldToWindowCoordinates(scene, x36W), dX: v3.distance(scene.camera.positionWC, x36W), ang: Cesium.Math.toDegrees(v3.angleBetween(scene.camera.directionWC, v3.subtract(x36W, scene.camera.positionWC, new v3()))), mshow: mX36.show, mm: Cesium.Matrix4.getTranslation(mX36.modelMatrix, new v3()), x36W }; + return { dbg, s, t, b, sep, mag, camR: v3.magnitude(camPos), dist, fov: scene.camera.frustum.fov, fovy: scene.camera.frustum.fovy, aspect: scene.camera.frustum.aspectRatio }; +} + +const sOfTauMemo = new Map(); +function sOfTauCached(t) { + if (!sOfTauMemo.has(t)) sOfTauMemo.set(t, sOfTau(t)); + return sOfTauMemo.get(t); +} + +function fmtSep(m) { + if (m >= 10e3) return `${fmtKm(m / 1000)}km`; + if (m >= 1000) return `${(m / 1000).toFixed(2)}km`; + return `${Math.round(m)}m`; +} +function fmtComp(m) { + const a = Math.abs(m); + return a >= 10e3 ? `${fmtKm(a / 1000)} km` : a >= 1000 ? `${(a / 1000).toFixed(2)} km` : `${Math.round(a)} m`; +} + +function updateHud(s, t, b, st) { + // Caption + let cap = null; + let capA = 0; + for (const c of CAPTIONS) { + const a = fade(s, c.s0, c.s1); + if (a > capA) { + cap = c; + capA = a; + } + } + if (cap) { + capEl.querySelector('.kicker').innerHTML = cap.kicker; + capEl.querySelector('h1').innerHTML = cap.title; + capEl.querySelector('p').innerHTML = cap.body.replace('%CA%', String(Math.round(D.ca.m / 5) * 5)); + } + capEl.style.opacity = capA; + capEl.style.transform = `translateY(${(1 - capA) * 10 * U}px)`; + + // Clock + const d = new Date(T0 + t * 1000); + const mon = d.toLocaleString('en-US', { month: 'short', timeZone: 'UTC' }).toUpperCase(); + $('#clock .date').textContent = `${mon} ${d.getUTCDate()}, 2026`; + $('#clock .time').textContent = `${d.toISOString().slice(11, 16)} UTC`; + $('#clock .rate').innerHTML = fmtRate(rate(s)); + const inShadow = st.lx < 0.5 && st.sep < 5e3; + $('#clock .shadow').textContent = inShadow ? '● IN EARTH\'S SHADOW' : ''; + const endA = fade(s, 41.2, 60, 0.6); + $('#clock').style.opacity = 1 - endA; + + // Readout + const ro = $('#readout'); + ro.style.opacity = fade(s, 0.6, 41.2, 0.5); + ro.querySelector('.val').innerHTML = fmtSep(st.sep); + const [r, tt, n] = st.rel; + if (st.sep < 2e6) { + ro.querySelector('.ric').innerHTML = + `${fmtComp(tt)} ${tt < 0 ? 'behind' : 'ahead'} · ${fmtComp(r)} ${r >= 0 ? 'above' : 'below'} · ${fmtComp(n)} aside`; + } else { + const deg = (Math.abs(((tt / Cesium.Cartesian3.magnitude(x36Teme(b).r)) * 180) / Math.PI) % 360); + ro.querySelector('.ric').innerHTML = `${(deg > 180 ? 360 - deg : deg).toFixed(0)}° apart along the orbit · ${fmtComp(r)} ${r >= 0 ? 'higher' : 'lower'}`; + } + + // Magnification note + const magEl = $('#mag'); + magEl.style.opacity = st.mag > 1.5 ? fade(s, 0, 41, 0.4) : st.mag <= 1.05 && st.camDistX < 200 ? fade(s, 0, 41, 0.4) : 0; + magEl.innerHTML = st.mag > 1.5 + ? `Spacecraft drawn ${Math.round(st.mag / 5) * 5 || 1}× actual size
Rings: 500 m · 1 km · 2 km in X36's orbit plane` + : 'Spacecraft at true scale
Cosmos 2612 model is illustrative — no public design imagery'; + + // Chart + const px = chart.x(Math.min(Math.max(t, CH.t0), CH.t1)); + const sepKm = Math.max(sepAt(t), CH.lo); + document.getElementById('pastRect').setAttribute('width', px); + const ph = document.getElementById('playhead'); + ph.setAttribute('x1', px); + ph.setAttribute('x2', px); + const pd = document.getElementById('playdot'); + pd.setAttribute('cx', px); + pd.setAttribute('cy', chart.y(sepKm)); + document.getElementById('caMark').setAttribute('opacity', t > CA_T ? 1 : 0); + for (const g of chartBox.querySelectorAll('.burn')) g.style.opacity = Number(g.dataset.t) <= t ? 1 : 0.28; + chartBox.style.opacity = fade(s, 0.6, 41.2, 0.5); + + // Satellite tags + const pX = project(st.x36W); + const pC = project(st.cosW); + const tX = tag('tagX', 'x36'); + const tC = tag('tagC', 'cos'); + tX.querySelector('.name').innerHTML = 'ICEYE-X36'; + tX.querySelector('.meta').textContent = 'SAR imager · U.S.-registered'; + tC.querySelector('.name').innerHTML = 'COSMOS 2612'; + tC.querySelector('.meta').textContent = 'Russian military · launched Apr 2026'; + const tagA = fade(s, 0.8, 41.2, 0.5); + let lines = ''; + const place2 = (el, p, dx, dy, color) => { + if (!p || p.x < -50 || p.y < -50 || p.x > W + 50 || p.y > H + 50) { + el.style.opacity = 0; + return; + } + const a = tagA * (p.hidden ? 0.35 : 1); + el.style.opacity = a; + const lx = p.x + dx; + const ly = p.y + dy; + el.style.left = `${dx >= 0 ? lx + 8 * U : lx - 8 * U}px`; + el.style.top = `${ly}px`; + el.style.transform = dx >= 0 ? 'translate(0,-50%)' : 'translate(-100%,-50%)'; + el.style.textAlign = dx >= 0 ? 'left' : 'right'; + lines += ``; + }; + let dX = [46 * U, -40 * U]; + let dC = [-46 * U, 40 * U]; + if (pX && pC) { + // Put each label on the side away from the other satellite. + const vx = pC.x - pX.x; + const vy = pC.y - pX.y; + const sx = vx >= 0 ? -1 : 1; + dX = [sx * 46 * U, (vy >= 0 ? -1 : 1) * 40 * U]; + dC = [-sx * 46 * U, (vy >= 0 ? 1 : -1) * 40 * U]; + } + place2(tX, pX, dX[0], dX[1], '#5ce1e6'); + place2(tC, pC, dC[0], dC[1], '#ff5a3c'); + leaders.innerHTML = lines; + + // Event log under the caption: never collides with the scene labels. + let html = ''; + for (const e of EVENTS) { + const hold = e.kind === 'ca' ? 4.4 : e.kind === 'vantor' ? 2.8 : 1.9; + const a = fade(s, e.s, e.s + hold, 0.25); + if (a <= 0) continue; + const color = e.kind === 'burn' ? '#ffb547' : e.kind === 'ca' ? '#ffffff' : e.kind === 'vantor' ? '#c9b8ff' : '#eef2f6'; + html += `
${e.title}
${e.sub}
`; + } + callEl.innerHTML = html; + + // Short dip through black at hard cuts. + let dip = 0; + for (const c of CUTS) dip = Math.max(dip, 1 - Math.abs(s - c) / 0.14); + $('#dip').style.opacity = Math.max(0, dip); + + // End card + const ec = $('#endcard'); + ec.style.opacity = endA; + ec.style.background = `rgba(2,4,8,${0.78 * endA})`; + if (!ec.dataset.built) { + ec.dataset.built = '1'; + ec.innerHTML = `
+

22 days, 8 burns, and a pass of about ${Math.round(D.ca.m / 5) * 5} m

+
+
~${Math.round(D.total_dv)} m/s
total Δv spent by Cosmos 2612 (est.)
+
35+ h
within ~3 km of ICEYE-X36
+
0.002°
final difference in orbit planes
+
480 km
behind X36 today, matched orbit
+
+
Reconstruction, not tracking data. ICEYE-X36: SGP4 on public CelesTrak element sets (NORAD 59103). Cosmos 2612 (68762): relative-orbit model with burns timed to published analyses by KeepTrack, LeoLabs and Marco Langbroek, pinned to today's elements. Closest-approach estimates range 150–650 m. + Earth: Esri World Imagery; the Earth below is slowed during time-lapse. Vantor image: Axios, Oct 22. Spacecraft models: ICEYE to published dimensions; Cosmos 2612 illustrative.
+
`; + } +} + +await document.fonts.ready; +window.rpo = { frame, tau, bclock, duration: DUR, ready: true, CAM }; diff --git a/tools/rpo-replay/tles.txt b/tools/rpo-replay/tles.txt new file mode 100644 index 000000000..f66bacad3 --- /dev/null +++ b/tools/rpo-replay/tles.txt @@ -0,0 +1,6 @@ +COSMOS 2612 +1 68762U 26083H 26297.29186266 .00002093 00000+0 14092-3 0 9996 +2 68762 97.8545 77.8974 0006461 247.4186 112.6358 15.07858138 28631 +ICEYE-X36 +1 59103U 24043F 26297.22477300 .00003484 00000+0 23160-3 0 9995 +2 59103 97.8537 77.8281 0004894 236.2883 123.7878 15.07863566144584