Orbit classification and networks of periodic orbits in the planar circular restricted five-body problem
arXiv:1904.03916 · doi:10.1016/j.ijnonlinmec.2019.02.007
Abstract
The aim of this paper is to numerically investigate the orbital dynamics of the circular planar restricted problem of five bodies. By numerically integrating several large sets of initial conditions of orbits we classify them into three main categories: (i) bounded (regular or chaotic) (ii) escaping and (iii) close encounter orbits. In addition, we determine the influence of the mass parameter on the orbital structure of the system, on the degree of fractality, as well as on the families of symmetric and non-symmetric periodic orbits. The networks and the linear stability of both symmetric and non-symmetric periodic orbits are revealed, while the corresponding critical periodic solutions are also identified. The parametric evolution of the horizontal and the vertical linear stability of the periodic orbits is also monitored, as a function of the mass parameter.
arXiv commentPublished in International Journal of Non-Linear Mechanics (IJNLM)
References in corpus (10)
- Basin entropy: a new tool to analyze uncertainty in dynamical systems
- Basins of attraction of equilibrium points in the planar circular restricted five-body problem
- Crash test for the Copenhagen problem with oblateness
- Central Configurations of the Five-Body Problem with Equal Masses
- Classifying orbits in the restricted three-body problem
- Escape and collision dynamics in the planar equilateral restricted four-body problem
- Orbital and escape dynamics in barred galaxies - II. The 3D system: Exploring the role of the normally hyperbolic invariant manifolds
- Orbit classification in the planar circular Pluto-Charon system
- Orbital dynamics in the planar Saturn-Titan system
- Unraveling the escape dynamics and the nature of the normally hyperbolic invariant manifolds in tidally limited star clusters