# SAT3_Trajectory - Study Report

**Status:** _pending optimization_
**Optimization Started:** _pending_
**Optimization Completed:** _pending_
**Total Trials:** _pending_

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## Optimization Summary

| Metric | Value |
|--------|-------|
| Algorithm | TPE (Tree-Parzen Estimator) |
| Design Variables | 9 (enabled) |
| Total Trials | _pending_ |
| Successful FEA | _pending_ |
| Failed FEA | _pending_ |
| Best Trial Number | _pending_ |
| Best Weighted Sum | _pending_ nm |

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## Best Design

### Objectives

| Objective | Best Value | Baseline | Improvement |
|-----------|------------|----------|-------------|
| **total_filtered_rms_nm** (PRIMARY) | _pending_ nm | 4.30 nm | _pending_ % |
| coma_rms_nm (logged) | _pending_ nm | 9.16 nm | _pending_ % |
| astigmatism_rms_nm (logged) | _pending_ nm | 6.55 nm | _pending_ % |
| trefoil_rms_nm (logged) | _pending_ nm | 6.44 nm | _pending_ % |
| spherical_rms_nm (logged) | _pending_ nm | 10.51 nm | _pending_ % |
| linear_fit_r2 | _pending_ | 1.0000 | _pending_ |
| mass_kg | _pending_ kg | _pending_ kg | _pending_ % |

### Design Parameters

| Parameter | Best Value | Baseline | Delta |
|-----------|------------|----------|-------|
| lateral_inner_angle | _pending_ deg | 30.18 deg | _pending_ |
| lateral_outer_angle | _pending_ deg | 15.09 deg | _pending_ |
| lateral_outer_pivot | _pending_ mm | 6.036 mm | _pending_ |
| lateral_inner_pivot | _pending_ mm | 12.072 mm | _pending_ |
| lateral_middle_pivot | _pending_ mm | 14.0 mm | _pending_ |
| lateral_closeness | _pending_ mm | 7.89 mm | _pending_ |
| whiffle_min | _pending_ mm | 56.7 mm | _pending_ |
| whiffle_outer_to_vertical | _pending_ deg | 75.67 deg | _pending_ |
| whiffle_triangle_closeness | _pending_ mm | 60.00 mm | _pending_ |

**Fixed parameters (not optimized):**
- blank_backface_angle = 4.00 deg
- inner_circular_rib_dia = 537.86 mm

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## Mode-Specific Analysis

### Which Modes Improved Most?

_Analysis pending - shows which aberration types benefited from optimization_

### Sensitivity Matrix

_Analysis pending - shows which modes respond to axial vs lateral loads_

### R² Validation

_Analysis pending - confirms physics model held throughout optimization_

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## Convergence Analysis

### Total Filtered RMS vs Trial

_Plot pending_

### Mode-Specific RMS vs Trial

_Plot pending - overlay coma, astigmatism, trefoil, spherical_

### Parameter Evolution

_Plot pending - shows how design variables evolved_

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## Key Findings

### 1. Trajectory Method Validation

_Analysis pending_

- Did R² stay > 0.95 throughout?
- Were any designs nonlinear?
- Did the physics model hold?

### 2. Mode-Specific Insights

_Analysis pending_

- Which modes improved most?
- Which modes are dominant now?
- Does coma reduction correlate with lateral support changes?

### 3. Comparison with V15 NSGA-II

_Analysis pending_

- How does best trajectory result compare to V15 Pareto front?
- Is trajectory method competitive?
- What insights does trajectory provide that discrete WFE doesn't?

### 4. Lateral vs Axial Sensitivity

_Analysis pending_

- Which parameters affect which modes?
- Are lateral supports primarily controlling coma (as predicted)?
- Are axial supports (whiffle tree) controlling spherical?

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## Recommendations

### Next Steps

_Analysis pending - based on results, suggest:_

1. Whether to proceed with SAT trajectory optimization
2. Which modes need further attention
3. Whether to refine parameter bounds
4. Additional angles to include in trajectory

### Parameter Bounds Refinement

_Analysis pending_

- Did any parameters hit bounds?
- Should ranges be expanded or narrowed?

### Future Studies

_Analysis pending_

- SAT3_Trajectory_SAT (100 FEA + 10K surrogate)
- Multi-objective trajectory (optimize modes separately)
- Trajectory + mass trade-off

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## Files Generated

- `3_results/study.db` - Optuna database with all trials
- `3_results/optimization.log` - Full execution log
- `2_iterations/iter_XXXX/` - FEA results for each trial
- _(Trajectory analysis plots - TBD)_

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## Lessons Learned

_To be filled after optimization completes_

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*Report template created: 2026-01-29*
*To be updated after optimization completes*