Stationary solutions of a small gyrostat in the Newtonian field of two bodies with equal masses

Tilemahos J. Kalvouridis (1)

1 Faculty of Applied Sciences, Department of Mechanics

The paper deals with the dynamics of a small gyrostat satellite acted upon by the Newtonian forces of two big bodies of equal masses which rotate around their center of mass. The gyrostat's equations of motion are derived and classes of its stationary solutions, as well as their stability are studied.

Mots clés: Gyrostat; Rigid body dynamics; Stationary solutions; Stability

Tilemahos J. Kalvouridis. Stationary solutions of a small gyrostat in the Newtonian field of two bodies with equal masses. Nonlinear Dynamics, 2010, 61 (3), pp.373-381. ⟨10.1007/s11071-010-9655-0⟩. ⟨hal-00560020⟩