Dirac Reduction of Binary Asteroid Systems with Symmetry and Stability of Relative Equilibria
In this paper, we study symmetry reduction for a binary asteroid system modeled by a rigid body and a particle.In particular, we demonstrate how the translational and rotational symmetry reduction appeared in the binary asteroid system can be carried out in the context of Dirac reduction by stages and with the associated reduction of implicit Hamiltonian systems.Then we investigate stability of relative equilibria of the asteroid pair and show the stability region by using the energy-momentum method.Lastly, we illustrate some numerical simulations for stable and unstable orbits near from relative equilibria of the Collinear and T configurations.
Kaori Onozaki Hiroaki Yoshimura
Department of Applied Mechanics and Aerospace EngineeringWaseda University3-4-1 Okubo,Shinjuku,Tokyo Department of Applied Mechanics and Aerospace Engineering Waseda University 3-4-1 Okubo,Shinjuku,Tok
国际会议
上海
英文
1-8
2012-08-26（万方平台首次上网日期，不代表论文的发表时间）