Properties of binary systems in a one-dimensional approximation
Bibliographic record
Abstract
We present numerically obtained tables of properties of stars in a binary system as a function of the effective potential: volume-equivalent radii of the equipotential surfaces, effective accelerations averaged over the same equipotential surfaces and the properties of the L<sub>1</sub> plane cross-sections. The tables are obtained for binaries where the ratios of the primary star mass to the companion star mass are from 10<sup>-6</sup> to 10<sup>5</sup> and include equipotential surfaces up to the star's outer Lagrangian point. We supply a sample code showing how to use our tables to get the average effective accelerations in one-dimensional stellar codes. Updates will be available at https://github.com/AliPourmand/1D_binary_star_properties. Paper describing the tables can be found on ApJ, <strong>DOI</strong> 10.3847/1538-4357/acd4c1, https://iopscience.iop.org/article/10.3847/1538-4357/acd4c1 If you make use of the provided tables or the code, we ask you to cite the paper (and zenodo deposit if such reference is allowed).
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.009 |
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; both teacher heads agree on what is shown here.
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".