An Intermediary Periodic Orbit for Hyperion

Abstract

AbstractWe have seen (Stellmacher, 1996) that the long-period terms for Hyperion’s motion are very well represented by a second kind and second genius periodic orbit, after Poincaré’s classification.We have shown how to construct such an orbit with, as only data, the observed periods, which characterise the resonance of the Titan-Hyperion couple, and the Titan’s motion which is an elliptical one. The physical quantities as the masses and the J2 term of Saturn’s flattening are given. We will present the results that we obtained, and compare them with those that other authors obtained by fitting the series to the observations.