On the dynamics of the rigid body with a fixed point: periodic orbits and integrability

作者：Guirao Juan L G^*; Llibre Jaume; Vera Juan A

来源：Nonlinear Dynamics, 2013, 74(1-2): 327-333.

DOI：10.1007/s11071-013-0972-y

• Rigid body with a fixed point
• Periodic orbits
• Integrability
• Averaging theory

The aim of the present paper is to study the periodic orbits of a rigid body with a fixed point and quasi-spherical shape under the effect of a Newtonian force field given by different small potentials. For studying these periodic orbits, we shall use averaging theory. Moreover, we provide information on the -integrability of these motions.

• 出版日期2013-10