Dynamics of multibody chains in circular orbit: non-integrability of equations of motion

作者：Maciejewski Andrzej J^*; Przybylska Maria

来源：Celestial Mechanics and Dynamical Astronomy, 2016, 126(4): 297-311.

DOI：10.1007/s10569-016-9696-x

• Multibody systems
• Integrability
• Morales-Ramis theory
• Planar 2-chain problem

This paper discusses the dynamics of systems of point masses joined by massless rigid rods in the field of a potential force. The general form of equations of motion for such systems is obtained. The dynamics of a linear chain of mass points moving around a central body in an orbit is analysed. The non-integrability of the chain of three masses moving in a circular Kepler orbit around a central body is proven. This was achieved thanks to an analysis of variational equations along two particular solutions and an investigation of their differential Galois groups.

• 出版日期2016-11