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Titan's rotational state. The effects of a forced ``free'' resonant wobble

Noyelles, Benoît

In Noyelles et al. (Astron. Astrophys. 478, 959–970 (2008)), a resonance involving the wobble of Titan is hinted at. This paper studies this scenario and its consequences. The first step is to build an accurate analytical model that would help to find the likely resonances in the rotation of every synchronous body. In this model, I take the orbita…

On the rotational dynamics of Prometheus and Pandora

Melnikov, A. V.; Shevchenko, I. I.

Possible rotation states of two satellites of Saturn, Prometheus (S16) and Pandora (S17), are studied by means of numerical experiments. The attitude stability of all possible modes of synchronous rotation and the motion close to these modes is analyzed by means of computation of the Lyapunov spectra of the motion. The stability analysis confirms …