Lyapunov Vector Fields for Thrust-Limited Spacecraft Docking with an Elliptically-Orbiting Uncooperative Tumbling Target
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Bibliographic record
Abstract
A novel translational guidance law is proposed for docking maneuvers using a Lyapunov vector field construction. Through this guidance, asymptotic convergence is guaranteed to an arbitrarily located and oriented docking port on an uncooperative tumbling target. This work extends the use of Lyapunov vector fields to cases with varying velocity, variation with time, and non limit-cycle motion. Furthermore, this work derives a set of conditions which are sufficient to ensure that the maximum desired acceleration is always within constraints defined by the vehicle’s maximum thrust. The method is designed specifically to be appropriate for applications where computational power is highly limited. Numerical simulations are presented.
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| 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