Task 566: Fix orbital plane exaggeration in 3D viewer

Status: DONE

Summary

Orbital planes appeared massively off because z-heights were exaggerated by ×10.

Saturn at the mission epoch has zHeightAU=0.319 AU which with ×10 produced 18.5°

visual elevation (vs real ~2.5° inclination). Reduced to ×3 → Saturn shows 5.7°.

Root cause

• zFromAU(zAU) = zAU * AU_TO_SCENE * 10 — too aggressive
• Saturn z=0.319 AU × 5 × 10 = 15.95 scene units → 18.5° angle
• At ×3: Saturn z=0.319 × 5 × 3 = 4.78 scene units → 5.7° angle ✓

Fix

Reduced multiplier from 10 to 3 in all 3 locations.

Tests added (1 new)

• z-heights produce reasonable visual elevation angles (<10° for Saturn)

Files changed

• ts/src/orbital-3d-viewer-data.ts — zFromAU multiplier 10→3
• ts/src/orbital-3d-viewer-data.test.ts — 1 new test
• ts/src/templates.ts — 3 inline occurrences 10→3
• ts/examples/orbital-3d.html — zFromAU multiplier 10→3

Impact

• Human directive phase 30 item (1) addressed