Nonlinear attitude dynamics of a rigid body at the lagrangian points

The paper presents an exact, analytical solution for the planar attitude dynamics of a rigid body, located at an equilibrium point of the Circular Restricted Three-Body Problem. The dynamics equations are proved to be analogous to the nonlinear dynamics of a swinging pendulum, for which exact solution exists in literature, and is thus applied to the present case. Three-dimensional attitude stability of the rotating body is investigated, both for oscillations (no net swing over) and for multiple swings, extending the literature results on the topic. Eventually, three-dimensional periodic solutions are presented and analyzed