A synthetic theory for the perturbations of Titan on Hyperion

Statistics – Computation

Scientific paper

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Computational Astrophysics, Hyperion, Perturbation Theory, Titan, Least Squares Method, Orbital Elements, Spectrum Analysis

Scientific paper

A theory for Hyperion is developed in which the perturbations by Titan have been developed synthetically. These perturbations were derived by fitting a sum of periodic terms to the numerical integration of Sinclair and Taylor (1985) extended to +/- 25 yr from the epoch used, 1973.87. A theory for Hyperion, constructed by adding the solar perturbations to the synthetic theory and including expressions for the motion of the orbit plane, was, together with the theories for the other major satellites of Saturn fitted to observations from 1967 to 1983.

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