Tidal dissipation revisited and application to Enceladus

Sylvio Ferraz-Mello, Hugo A. Folonier, Eduardo Andrade-Ines
(Submitted on 28 Jul 2017)

This paper deals with the bulk tidal dissipation in one body as predicted by the creep tide theory (Ferraz-Mello, Cel. Mech. Dyn. Astron. {\bf 116}, 109, 2013) and with the general problem of averaging the evolution equations in the case of stiff bodies whose rotation is not synchronous, but is oscillating around the synchronous state with a period equal to the orbital period. We discuss the influence of this tidally induced libration on the averaged amount of energy dissipated in the body and consequently on the perturbation of the orbital elements. The resulting dissipation of synchronous stiff bodies shows a deviation from the Maxwell law reminiscent of the Andrade model, but distinct of it. The results are applied to the rotation of Enceladus and the relaxation factor necessary to explain the observed dissipation (γ=6×10−8s−1) has the expected order of magnitude for planetary satellites. The corrections of some mistakes and typos of paper II (Ferraz-Mello, Cel. Mech. Dyn. Astron. {\bf 122}, 359, 2015) are included at the end of the paper.

Tidal synchronization of close-in satellites and exoplanets. III. Tidal dissipation revisited and application to Enceladus

Comments:    Submitted to Celestial Mechanics and Dynamical Astronomy
Subjects:    Earth and Planetary Astrophysics (astro-ph.EP)
Cite as:    arXiv:1707.09229 [astro-ph.EP] (or arXiv:1707.09229v1 [astro-ph.EP] for this version)
Submission history
From: Sylvio Ferraz-Mello [view email]
[v1] Fri, 28 Jul 2017 13:45:05 GMT (225kb)
https://arxiv.org/abs/1707.09229