Phase 0: monorepo skeleton (hub, live-map, api, packages, infra, CI)

2026-06-02 15:47:28 +00:00
commit 7b19c54943
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+import { describe, it, expect } from 'vitest';
+import { solveKepler } from '../src/kepler.js';
+
+describe('solveKepler', () => {
+  it('returns 0 for M=0, e=0', () => {
+    expect(solveKepler(0, 0)).toBeCloseTo(0, 10);
+  });
+
+  it('returns M for e=0 (circular orbit)', () => {
+    const M = 1.234;
+    expect(solveKepler(M, 0)).toBeCloseTo(M, 10);
+  });
+
+  it('solves low-eccentricity orbits', () => {
+    // E ≈ M + e·sin(M) is the first-order correction
+    const e = 0.1;
+    const M = 0.5;
+    const E = solveKepler(M, e);
+    const residual = E - e * Math.sin(E) - M;
+    expect(residual).toBeCloseTo(0, 10);
+  });
+
+  it('solves high-eccentricity orbits (e=0.9)', () => {
+    const e = 0.9;
+    const M = 1.0;
+    const E = solveKepler(M, e);
+    const residual = E - e * Math.sin(E) - M;
+    expect(residual).toBeCloseTo(0, 10);
+  });
+
+  it('normalizes M to [-π, π]', () => {
+    // 3π and π are equivalent; should give the same E.
+    const e = 0.3;
+    expect(solveKepler(3 * Math.PI, e)).toBeCloseTo(solveKepler(Math.PI, e), 10);
+  });
+});