The 3-dimensional Rotation of Titan, and the Possibility of a Resonant Wobble

We performed a 3-dimensional theory of the rotation of Titan, seen as a rigid body. Using an analytical model, we determine the frequencies of the free librations around the exact Cassini state, which are respectively 2.1, 167 and 306 years. Then we use the numerical tool and the complete ephemerides (TASS 1.6) of the orbital motion of Titan to give a complete 3-dimensional theory of the rotation of Titan, given in a synthetic form thanks to frequency analysis. This study allows us to detect a likely resonance forcing the wobble of Titan. This resonance is being studied analytically, and we show that it could force the wobble of Titan of several degrees.