{ "schemaVersion": 1, "constants": { "muKm3s2": 398600.4418, "radiusKm": 6378.137, "j2": 0.00108262668 }, "thresholds": { "modelSeparationKm": 10, "referencePositionKm": 0.01, "referenceVelocityKmS": 0.00001, "convergencePositionKm": 0.01, "referenceSelfPositionKm": 0.0001, "relativeInvariantDrift": 1e-8, "secularNodeToleranceDegPerDay": 0.1 }, "independentMethod": "SciPy 1.17.1 DOP853", "validation": { "generatedBy": "buildValidationReport()", "reference": { "radiusKm": 6378.137, "muKm3s2": 398600.4418, "source": "Earth constants in lib/orbit/bodies.ts" }, "cases": [ { "id": "circular-return", "title": "Circular orbit returns after one period", "method": "Propagate a 7,000 km circular state for the analytical Kepler period.", "result": "pass", "metrics": [ { "label": "Analytical period", "value": "5828.517 s" }, { "label": "Position error (limit 1e-5 km)", "value": "1.373e-11 km" }, { "label": "Velocity error (limit 1e-8 km/s)", "value": "0.000e+0 km/s" }, { "label": "Relative energy drift", "value": "0.00e+0" }, { "label": "Relative angular-momentum drift", "value": "0.00e+0" } ] }, { "id": "forward-reverse", "title": "Forward propagation reverses cleanly", "method": "Propagate a 3D state forward 4,321.5 s, then propagate the result backward by the same duration.", "result": "pass", "metrics": [ { "label": "Position error (limit 1e-5 km)", "value": "9.118e-12 km" }, { "label": "Velocity error (limit 1e-8 km/s)", "value": "1.071e-14 km/s" }, { "label": "Forward solver", "value": "converged" }, { "label": "Reverse solver", "value": "converged" } ] }, { "id": "prograde-burn", "title": "Analytical prograde burn raises apoapsis", "method": "Add 0.1 km/s at 400 km altitude and compare vis-viva prediction with propagation at the opposite apsis.", "result": "pass", "metrics": [ { "label": "Burn", "value": "0.100 km/s prograde" }, { "label": "Predicted apoapsis", "value": "765.5 km altitude" }, { "label": "Simulated apoapsis", "value": "765.5 km altitude" }, { "label": "Absolute difference", "value": "2.728e-12 km (limit 0.1 km)" } ] }, { "id": "boundary-cases", "title": "Near-parabolic, parabolic, and hyperbolic coasts", "method": "Propagate three 20,000 s states around and above escape speed, requiring finite output and energy drift below 1e−9.", "result": "pass", "metrics": [ { "label": "Near-parabolic", "value": "finite / converged" }, { "label": "Parabolic", "value": "finite / converged" }, { "label": "Hyperbolic", "value": "finite / converged" } ] }, { "id": "events-and-failure", "title": "Impact, escape, and solver failure are explicit", "method": "Locate radius events and deliberately exhaust the subdivision budget; do not return a guessed state.", "result": "pass", "metrics": [ { "label": "Impact event", "value": "643.836 s at Earth radius" }, { "label": "Escape display crossing", "value": "12954.385 s at 80,000 km" }, { "label": "Failure reason", "value": "non-convergence" }, { "label": "Returned state after failure", "value": "none" } ] } 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