Periodic Orbits Associated with the Libration Points of the Massive Rotating Straight Segment
Bibliographic record
Abstract
The massive straight segment, rotating around the axis perpendicular to its center, is a simple alternative for more precise and sophisticated models that take into account the shape and mass density of natural asteroids. In this article, we give numerical results for the families of periodic orbits that emanate from the five libration points of massive straight segment, and for some secondary bifurcating families. Possible application and extension of the results to research on the motion of satellites near small irregular-shaped celestial bodies are also discussed. The numerical continuation and bifurcation algorithms we use in our study are based on boundary value techniques, as implemented in AUTO. An extensive set of python scripts for running AUTO will be made available at http://users.encs.concordia.ca/~doedel . These scripts can be used to recompute the results in this paper, and to do a wide selection of related calculations.
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How this classification was reachedexpand
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 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".