Context :

Aims :

We study the forced rotation of Titan seen as a rigid body at the equilibrium Cassini state , involving the spin-orbit synchronization .

Methods :

We used both the analytical and the numerical ways .
We analytically determined the equilibrium positions and the frequencies of the 3 free librations around it , while a numerical integration associated to frequency analysis gave us a more synthetic , complete theory , where the free solution split from the forced one .

Results :

We find a mean obliquity of 2.2 arcmin and the fundamental frequencies of the free librations of about 2.0977 , 167.4883 , and 306.3360 years .
Moreover , we bring out the main role played by Titan ’ s inclination on its rotation , and we suspect a likely resonance involving Titan ’ s wobble .

Conclusions :