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We study the forced rotation of Titan seen as a rigid body at the equilibriumCassini state, involving the spin-orbit synchronization. We used both theanalytical and the numerical ways. We analytically determined the equilibriumpositions and the frequencies of the 3 free librations around it, while anumerical integration associated to frequency analysis gave us a moresynthetic, complete theory, where the free solution split from the forced one.We find a mean obliquity of 2.2 arcmin and the fundamental frequencies of thefree librations of about 2.0977, 167.4883, and 306.3360 years. Moreover, webring out the main role played by Titan's inclination on its rotation, and wesuspect a likely resonance involving Titan's wobble.

Titan's rotation: A 3-dimensional theory