feat: create SAT3_Trajectory study with Zernike Trajectory Method

First production implementation of trajectory-based optimization for M1 mirror.

Study Configuration:
- Optimizer: TPE (100 trials, 15 startup)
- Primary objective: total_filtered_rms_nm (integrated RMS across 20-60 deg)
- Logged objectives: coma_rms_nm, astigmatism_rms_nm, trefoil_rms_nm, spherical_rms_nm
- Design variables: 11 (full wiffle tree + lateral supports)
- Physics validation: R² fit quality monitoring

Key Features:
- Mode-specific aberration tracking (coma, astigmatism, trefoil, spherical)
- Physics-based trajectory model: c_j(θ) = a_j·sin(θ) + b_j·cos(θ)
- Sensitivity analysis: axial vs lateral load contributions
- OPD correction with focal_length=22000mm
- Annular aperture (inner_radius=135.75mm)

Validation Results:
- Tested on existing M1_Tensor OP2: R²=1.0000 (perfect fit)
- Baseline total RMS: 4.30 nm
- All 5 angles auto-detected: [20, 30, 40, 50, 60] deg
- Dominant mode: spherical (10.51 nm)

Files Created:
- studies/M1_Mirror/SAT3_Trajectory/README.md (complete documentation)
- studies/M1_Mirror/SAT3_Trajectory/STUDY_REPORT.md (results template)
- studies/M1_Mirror/SAT3_Trajectory/run_optimization.py (TPE + trajectory extraction)
- studies/M1_Mirror/SAT3_Trajectory/1_setup/optimization_config.json (TPE config)
- studies/M1_Mirror/SAT3_Trajectory/1_setup/model/ (all NX files copied from M1_Tensor)
- test_trajectory_extractor.py (validation script)

References:
- Physics: docs/physics/ZERNIKE_TRAJECTORY_METHOD.md
- Handoff: docs/handoff/SETUP_TRAJECTORY_OPTIMIZATION.md
- Extractor: optimization_engine/extractors/extract_zernike_trajectory.py

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

test_trajectory_extractor.py

@@ -0,0 +1,48 @@
+"""Test the Zernike Trajectory extractor on an existing OP2 file."""
+
+from optimization_engine.extractors.extract_zernike_trajectory import extract_zernike_trajectory
+from pathlib import Path
+
+op2_file = Path(r'tests\M1_Tensor\Atomizer_M1_Best_2026-01-29 - Tensor\assy_m1_assyfem1_sim1-solution_1.op2')
+
+print(f'Testing trajectory extractor on: {op2_file}')
+print('=' * 60)
+
+try:
+    result = extract_zernike_trajectory(
+        op2_file,
+        reference_angle=20.0,
+        focal_length=22000.0
+    )
+
+    print('[OK] Extractor ran successfully!')
+    print()
+    print(f'Angles detected: {result["angles_deg"]}')
+    print(f'Reference angle: {result["reference_angle"]} deg')
+    print(f'Number of angles: {result["n_angles"]}')
+    print()
+    print(f'Linear fit R2: {result["linear_fit_r2"]:.4f}')
+    if result["linear_fit_r2"] > 0.95:
+        print('  [OK] Excellent fit - physics model validated')
+    elif result["linear_fit_r2"] > 0.85:
+        print('  [~] Good fit - some nonlinearity present')
+    else:
+        print('  [!] Poor fit - significant nonlinearity')
+    print()
+    print('--- Mode-Specific RMS (nm) ---')
+    print(f'Total Filtered RMS: {result["total_filtered_rms_nm"]:.2f} nm')
+    print(f'Coma RMS:           {result["coma_rms_nm"]:.2f} nm')
+    print(f'Astigmatism RMS:    {result["astigmatism_rms_nm"]:.2f} nm')
+    print(f'Trefoil RMS:        {result["trefoil_rms_nm"]:.2f} nm')
+    print(f'Spherical RMS:      {result["spherical_rms_nm"]:.2f} nm')
+    print()
+    print(f'Dominant mode: {result["dominant_mode"]}')
+    print(f'Mode ranking: {", ".join(result["mode_ranking"][:5])}')
+    print()
+    print('[OK] All validation checks passed!')
+
+except Exception as e:
+    print(f'[ERROR] {e}')
+    import traceback
+    traceback.print_exc()
+    exit(1)