Geodetic Nutation of Celestial Bodies in the Jovian Satellite System
Bibliographic record
Abstract
Abstract We investigate the relativistic effect of geodetic nutation in the rotation of Jupiter and its 94 satellites, for which the ephemerides are known, around their axes on an 800-year time interval. The most significant periodic terms of the geodetic rotation of these celestial bodies have been determined for the first time: (1) for Jupiter relative to the Solar System Barycenter and the plane of the mean orbit of Jupiter at epoch J2000.0 in the Euler angles, in the perturbing terms of the physical libration and in the absolute value of the angular rotation vector of the geodetic rotation of the body under study; (2) for eight regular (four inner (Metis J16, Adrastea J15, Amalthea J5, Thebe J14) and four Galilean (Io J1, Europa J2, Ganymede J3, Callisto J4)) satellites of Jupiter relative to: (a) the Solar System Barycenter and the plane of the mean orbit of the satellite under study at epoch J2000.0 in the Euler angles, in the perturbing terms of the physical libration and in the absolute value of the angular rotation vector of the geodetic rotation of the body under study; (b) the Solar System Barycenter and the plane of the mean orbit of the Jovian System Barycenter at epoch J2000.0 in the Euler angles, in the perturbing terms of the physical libration and in the absolute value of the angular rotation vector of the geodetic rotation of the body under study; (c) the Jovian System Barycenter and the plane of the mean orbit of the satellite under study at epoch J2000.0 in the perturbing terms of the physical libration and in the absolute value of the angular rotation vector of the geodetic rotation of the body under study; (3) for 86 irregular satellites (J6–J13, J17–J72, J5501–J5507, J5509–J5523) of Jupiter in the absolute value of the angular rotation vector of the geodetic rotation of the body under study relative to: (a) the Solar System Barycenter; (b) the Jovian System Barycenter. The calculated analytical values of the geodetic nutation of the celestial bodies under study can be used to numerically study the rotation of these bodies in the relativistic approximation.
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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".