Phase 2c: eclipse/overpass calculators + live-map camera polish

Calculators (apps/live-map/src/calculators/):
- eclipse.ts: findEclipseWindows(bodies, opts) — coarse scan with
  threshold-crossing detection, bisection to refine start/end,
  ternary search to find peak. Handles eclipse already in progress
  at scan-start. Uses sun = parentId===null body.
- overpass.ts: findOverpasses(opts) — coarse scan for local distance
  minima, ternary refinement. Targets: vessel, body, ground station
  (lat/lon/alt → heliocentric).

UI:
- panels/CalculatorsPanel.tsx: collapsible bottom-center panel with
  two tabs. Eclipse form: observer, eclipser, from UT → 3 windows.
  Overpass form: observer vessel, target kind+id, max dist → 5 passes.
- timeFormat.ts: shared KSP-time formatters.

Live-map camera polish (apps/live-map/src/scene/):
- camera.ts: CameraController — log-scale distance (z→exp(z)*1e8 m,
  range -3..12), spherical orbit around target, smooth lerp to
  selected body/vessel. Mouse wheel zooms, drag rotates, click
  raycasts for track toggle. Pointer-move-distance gate to
  distinguish click from drag.
- glow.ts: additive shader-based atmospheric halo (rim-falloff
  fragment shader, BackSide) attached as child of body mesh.
- layout.ts: bodyPositionAt now returns true heliocentric (walks
  parent chain); previous version returned parent-relative for
  non-root children which broke the eclipse calculator.

Bug fix:
- packages/orbital-math/src/occultation.ts: sign of projection check
  was inverted. `proj <= 0` correctly returns 0 (occluder behind
  observer), `proj > 0` triggers eclipse computation.

Tests: 28 live-map tests (10 scene + 12 calculator + 6 camera),
45 total across the workspace, all passing.

apps/live-map/tests/camera.test.ts

@@ -0,0 +1,68 @@
+import { describe, it, expect } from 'vitest';
+import { inverseLogScale, logScale } from '../src/scene/layout.js';
+
+describe('camera log-scale', () => {
+  it('inverseLogScale undoes logScale', () => {
+    for (const t of [-3, 0, 4, 8, 12]) {
+      expect(inverseLogScale(logScale(t))).toBeCloseTo(t, 6);
+    }
+  });
+
+  it('produces distances spanning the KSP system', () => {
+    // t = 0: 1e8 m = 100 Mm (close zoom)
+    expect(logScale(0)).toBeCloseTo(1e8, -3);
+    // t = 4: ~5.5e9 m (Kerbin at 13.6 Gm is just outside)
+    expect(logScale(4)).toBeGreaterThan(1e9);
+    // t = 10: ~22e12 m (Eeloo at 90 Gm is well inside)
+    expect(logScale(10)).toBeGreaterThan(1e10);
+    // t = 12: ~1.6e13 m (max zoom)
+    expect(logScale(12)).toBeGreaterThan(1e12);
+  });
+});
+
+describe('spherical math (used by camera)', () => {
+  // The camera controller uses spherical coords. Test the
+  // cartesian conversion (extracted for testability).
+  function sphericalToCartesian(distance: number, az: number, el: number) {
+    const sinE = Math.sin(el);
+    const cosE = Math.cos(el);
+    const sinA = Math.sin(az);
+    const cosA = Math.cos(az);
+    return {
+      x: distance * cosE * sinA,
+      y: distance * sinE,
+      z: distance * cosE * cosA,
+    };
+  }
+
+  it('produces a point on the sphere of given radius', () => {
+    for (const az of [0, 1, 2.5, 4.7]) {
+      for (const el of [-0.5, 0, 0.7]) {
+        const p = sphericalToCartesian(1e10, az, el);
+        const d = Math.hypot(p.x, p.y, p.z);
+        expect(d).toBeCloseTo(1e10, 4);
+      }
+    }
+  });
+
+  it('azimuth=0, elevation=0 produces +Z vector', () => {
+    const p = sphericalToCartesian(100, 0, 0);
+    expect(p.z).toBeCloseTo(100, 6);
+    expect(p.x).toBeCloseTo(0, 6);
+    expect(p.y).toBeCloseTo(0, 6);
+  });
+
+  it('azimuth=π/2, elevation=0 produces +X vector', () => {
+    const p = sphericalToCartesian(100, Math.PI / 2, 0);
+    expect(p.x).toBeCloseTo(100, 6);
+    expect(p.z).toBeCloseTo(0, 6);
+    expect(p.y).toBeCloseTo(0, 6);
+  });
+
+  it('elevation=π/2 produces +Y vector', () => {
+    const p = sphericalToCartesian(100, 0, Math.PI / 2);
+    expect(p.y).toBeCloseTo(100, 6);
+    expect(p.x).toBeCloseTo(0, 6);
+    expect(p.z).toBeCloseTo(0, 6);
+  });
+});