Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..229p&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 30, July 1983, p. 229-247.
Astronomy and Astrophysics
Astronomy
22
Libration, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Planetary Orbits, Rhea (Astronomy), Secular Variations, Titan, Apsides, Equations Of Motion, Hamiltonian Functions, Orbit Perturbation, Precession, Resonance
Scientific paper
The Rhea-Titan resonance is studied as a special case of secular orbit-orbit resonances. In earlier studies Rhea's mass has always been neglected. In order to investigate whether this approximation is valid, both masses are taken into account. It is shown that in the Rhea-Titan case the resonance is dominated by the effect of the large difference between the natural precession rates of the lines of apsides of both satellites, leading to approximations containing only one of the masses. For libration about 0 it happens to be Titan's mass, so that neglecting Rhea's mass is valid. Next, the influence of the difference between the natural precession rates on the resonance is examined, and finally it is shown that the libration period is independent of the libration amplitude.
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