Lagrangian satellites of Tethys and Dione. II - Theory of motion

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dione, Lagrangian Equilibrium Points, Orbital Mechanics, Saturn (Planet), Tethys, Charge Coupled Devices, Equations Of Motion, Mathematical Models, Perturbation Theory, Satellites, Tethys, Dione, Lagrange Points, Theoretical Studies, Motion, Numerical Methods, Simulations, Models, Parameters, Saturn, Calculations, Oblateness, Perturbations, Data

Scientific paper

Numerical simulations of the motion of Tethys and Dione's Lagrangian satellites have been fitted to the observations collected from 1980 to 1985. From these experiments, amplitudes and periods of different perturbations due to the Lagrangian satellite environment have been estimated, and the accuracy of a basic analytical model of the motion have been tested. This model has then been modified to take the most important perturbation into account, and the constants of the motion have been fitted to the observations. The resulting theory provides positions differing from those observed by about 0.5 arcsec for Telesto and Calypso, and less for Helen, primarily due to observation uncertainties.

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