Optimal Hybrid Control for Lorentz-Augmented Formation Flying
Why this work is in the frame
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Bibliographic record
Abstract
The problem of optimal control for a linear time-varying system with both continuous and impulsive control inputs is considered. The solution to the hybrid linear quadratic regular (LQR) problem, obtained using the Minimum Principle, is presented, with an emphasis on the solution to the corresponding discontinuous Riccati equation. The hybrid LQR is applied to the problem of Lorentz-augmented formation maintenance, where the deputy spacecraft mitigates the effects of the J2 perturbation using a combination of the geomagnetic Lorentz force and impulsive thrusting for actuation. It is shown that the required amount of thruster actuation for formation keeping can be significantly reduced when used in concert with Lorentz force actuation.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it