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>

studies/M1_Mirror/SAT3_Trajectory/1_setup/model/params.exp

@@ -0,0 +1,5 @@
+[mm]lateral_inner_u=0.32248417341983515
+[mm]lateral_outer_u=0.9038210727913156
+[mm]lateral_middle_pivot=21.25398896032501
+[Degrees]lateral_inner_angle=30.182447933329243
+[Degrees]lateral_outer_angle=15.08932828662093

studies/M1_Mirror/SAT3_Trajectory/1_setup/optimization_config.json

@@ -0,0 +1,247 @@
+{
+  "$schema": "Atomizer M1 Mirror Trajectory-Based Optimization - SAT3",
+  "study_name": "SAT3_Trajectory",
+  "study_tag": "TPE-100-TrajectoryMethod",
+  "description": "Trajectory-based optimization using Zernike Trajectory Method. Optimizes integrated RMS across full 20-60 deg operating range with mode-specific tracking.",
+  "business_context": {
+    "purpose": "Explore new trajectory optimization method for mode-specific aberration control",
+    "benefit": "Physics-based optimization with integrated metrics and sensitivity analysis",
+    "goal": "Minimize total_filtered_rms_nm across operating range while tracking mode-specific contributions"
+  },
+  "optimization": {
+    "algorithm": "TPE",
+    "n_trials": 100,
+    "n_startup_trials": 15,
+    "notes": "TPE recommended for fresh trajectory-based optimization - good for single-objective with logged secondaries"
+  },
+  "extraction_method": {
+    "type": "zernike_trajectory",
+    "class": "ZernikeTrajectoryExtractor",
+    "method": "extract_trajectory",
+    "reference_angle": 20.0,
+    "focal_length": 22000.0,
+    "inner_radius": 135.75,
+    "description": "Trajectory analysis across 5 elevation angles (20, 30, 40, 50, 60 deg) with OPD correction and annular aperture"
+  },
+  "design_variables": [
+    {
+      "name": "lateral_inner_angle",
+      "expression_name": "lateral_inner_angle",
+      "min": 25.0,
+      "max": 30.0,
+      "baseline": 26.79,
+      "units": "degrees",
+      "enabled": true,
+      "notes": "Inner lateral support angle"
+    },
+    {
+      "name": "lateral_outer_angle",
+      "expression_name": "lateral_outer_angle",
+      "min": 11.0,
+      "max": 17.0,
+      "baseline": 14.64,
+      "units": "degrees",
+      "enabled": true,
+      "notes": "Outer lateral support angle"
+    },
+    {
+      "name": "lateral_outer_pivot",
+      "expression_name": "lateral_outer_pivot",
+      "min": 9.0,
+      "max": 12.0,
+      "baseline": 10.40,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Outer lateral pivot position"
+    },
+    {
+      "name": "lateral_inner_pivot",
+      "expression_name": "lateral_inner_pivot",
+      "min": 5.0,
+      "max": 12.0,
+      "baseline": 10.07,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Inner lateral pivot position"
+    },
+    {
+      "name": "lateral_middle_pivot",
+      "expression_name": "lateral_middle_pivot",
+      "min": 15.0,
+      "max": 27.0,
+      "baseline": 20.73,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Middle lateral pivot position"
+    },
+    {
+      "name": "lateral_closeness",
+      "expression_name": "lateral_closeness",
+      "min": 9.5,
+      "max": 12.5,
+      "baseline": 11.02,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Lateral support closeness parameter"
+    },
+    {
+      "name": "whiffle_min",
+      "expression_name": "whiffle_min",
+      "min": 30.0,
+      "max": 72.0,
+      "baseline": 40.55,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Whiffle tree minimum radius"
+    },
+    {
+      "name": "whiffle_outer_to_vertical",
+      "expression_name": "whiffle_outer_to_vertical",
+      "min": 60.0,
+      "max": 80.0,
+      "baseline": 75.67,
+      "units": "degrees",
+      "enabled": true,
+      "notes": "Whiffle tree outer angle to vertical"
+    },
+    {
+      "name": "whiffle_triangle_closeness",
+      "expression_name": "whiffle_triangle_closeness",
+      "min": 50.0,
+      "max": 80.0,
+      "baseline": 60.00,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Whiffle tree triangle closeness"
+    },
+    {
+      "name": "blank_backface_angle",
+      "expression_name": "blank_backface_angle",
+      "min": 4.1,
+      "max": 4.5,
+      "baseline": 4.15,
+      "units": "degrees",
+      "enabled": true,
+      "notes": "Blank backface angle"
+    },
+    {
+      "name": "inner_circular_rib_dia",
+      "expression_name": "inner_circular_rib_dia",
+      "min": 480.0,
+      "max": 620.0,
+      "baseline": 534.00,
+      "units": "mm",
+      "enabled": true,
+      "notes": "Inner circular rib diameter"
+    }
+  ],
+  "fixed_parameters": [],
+  "constraints": [
+    {
+      "name": "trajectory_fit_quality",
+      "type": "soft",
+      "expression": "linear_fit_r2 >= 0.95",
+      "description": "Linear trajectory model should fit well (R² ≥ 0.95)",
+      "penalty_weight": 100.0
+    },
+    {
+      "name": "blank_mass_max",
+      "type": "hard",
+      "expression": "mass_kg <= 120.0",
+      "description": "Maximum blank mass constraint",
+      "penalty_weight": 1000.0
+    }
+  ],
+  "objectives": [
+    {
+      "name": "total_filtered_rms_nm",
+      "description": "Total integrated RMS across full operating range (20-60 deg)",
+      "direction": "minimize",
+      "weight": 1.0,
+      "target": 4.0,
+      "units": "nm",
+      "notes": "PRIMARY OBJECTIVE - optimized by TPE"
+    },
+    {
+      "name": "coma_rms_nm",
+      "description": "Integrated coma RMS (modes Z7,Z8)",
+      "direction": "minimize",
+      "weight": 0.0,
+      "target": 5.0,
+      "units": "nm",
+      "notes": "LOGGED ONLY - tracks coma contribution"
+    },
+    {
+      "name": "astigmatism_rms_nm",
+      "description": "Integrated astigmatism RMS (modes Z5,Z6)",
+      "direction": "minimize",
+      "weight": 0.0,
+      "target": 5.0,
+      "units": "nm",
+      "notes": "LOGGED ONLY - tracks astigmatism contribution"
+    },
+    {
+      "name": "trefoil_rms_nm",
+      "description": "Integrated trefoil RMS (modes Z9,Z10)",
+      "direction": "minimize",
+      "weight": 0.0,
+      "target": 5.0,
+      "units": "nm",
+      "notes": "LOGGED ONLY - tracks trefoil contribution"
+    },
+    {
+      "name": "spherical_rms_nm",
+      "description": "Integrated spherical RMS (mode Z11)",
+      "direction": "minimize",
+      "weight": 0.0,
+      "target": 8.0,
+      "units": "nm",
+      "notes": "LOGGED ONLY - tracks spherical aberration"
+    },
+    {
+      "name": "linear_fit_r2",
+      "description": "Trajectory model fit quality (should be ~1.0)",
+      "direction": "maximize",
+      "weight": 0.0,
+      "target": 0.95,
+      "units": "unitless",
+      "notes": "LOGGED ONLY - validates physics model"
+    }
+  ],
+  "weighted_sum_formula": "total_filtered_rms_nm (primary) + 0*coma_rms_nm + 0*astigmatism_rms_nm + 0*trefoil_rms_nm + 0*spherical_rms_nm",
+  "zernike_settings": {
+    "n_modes": 50,
+    "filter_low_orders": 4,
+    "displacement_unit": "mm",
+    "subcases": ["1", "2", "5", "3", "6", "4"],
+    "subcase_labels": {
+      "1": "90deg",
+      "2": "20deg",
+      "3": "40deg",
+      "4": "60deg",
+      "5": "30deg",
+      "6": "50deg"
+    },
+    "reference_subcase": "2",
+    "method": "trajectory",
+    "reference_angle": 20.0,
+    "focal_length": 22000.0,
+    "inner_radius": 135.75,
+    "exclude_angles": [90.0]
+  },
+  "nx_settings": {
+    "nx_install_path": "C:\\Program Files\\Siemens\\DesigncenterNX2512",
+    "sim_file": "ASSY_M1_assyfem1_sim1.sim",
+    "solution_name": "Solution 1",
+    "op2_pattern": "*-solution_1.op2",
+    "simulation_timeout_s": 600,
+    "journal_timeout_s": 120,
+    "op2_timeout_s": 1800,
+    "auto_start_nx": true
+  },
+  "dashboard_settings": {
+    "trial_source_tag": true,
+    "fea_marker": "circle",
+    "fea_color": "#4CAF50"
+  }
+}