2006/08/04 by Ing-Guey Jiang, Li-Chin Yeh
Engineering · Physics and Astronomy · #Astro and Planetary Science #Chaotic #Cosmology #Equilibrium point #Lagrangian #Lagrangian point #Lyapunov exponent #Lyapunov function #Planar #Quantum chaos and dynamical systems #Spacecraft Dynamics and Control #Three-body problem #astro-ph
paper · pdf · doi:10.1007/s10509-006-9065-4
published as Astrophys.SpaceSci.305:341-348,2006 · accepted by Astrophysics and Space Science
openalex publication_date 2006/08/04 · arxiv created 2006/10/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Following Papadakis (2005)'s numerical exploration of the Chermnykh's problem, we here study a Chermnykh-like problem motivated by the astrophysical applications. We find that both the equilibrium points and solution curves become quite different from the ones of the classical planar restricted three-body problem. In addition to the usual Lagrangian points, there are new equilibrium points in our system. We also calculate the Lyapunov Exponents for some example orbits. We conclude that it seems there are more chaotic orbits for the system when there is a belt to interact with.