4 papers · 1 filter
Positive energy solutions in the anisotropic Kepler problem with homogeneous potential
Guowei Yu
We study positive energy solutions of the anisotropic Kepler problem with homogeneous potential. First some asymptotic property of positive energy solutions is obtained, as time go…
Relative periodic solutions in spatial Kepler problem with symmetric perturbation
Xijun Hu, Zhiwen Qiao, Guowei Yu
The spatial Kepler problem with a perturbation satisfying the rotational symmetry w.r.t. the -axis and the reflection symmetry w.r.t. the -plane, can be reduced to an Ha…
Variational Construction of Homoclinic and Heteroclinic Orbits in the Planar Sitnikov Problem
Yuika Kajihara, Mitsuru Shibayama, Guowei Yu
The Sitnikov problem is a special case of the three-body problem. The system is known to be chaotic and has been studied by symbolic dynamics (J. Moser, Stable and random motions i…
The problem of infinite Spin for parabolic and collision solutions in the planar -body problem
Zhe Wang, Guowei Yu
In the planar -body problem, the problem of infinite spin occurs for both parabolic and collision solutions. Recently Moeckel and Montgomery \cite{MM25} showed that there is no…