Abstract
We study a perturbed Newtonian two-body problem, in which the perturbation is due to a force field of constant magnitude but rotating direction. By considering this system as a perturbation of the non-rotating case a Melnikov-type analysis allows us to show the existence of horseshoes in the level sets of the Hamiltonian and the subsequent sensitive dependence on initial conditions and non-integrability. We discuss the consequences of these results for a particular planar restricted three-body problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 287-313 |
| Number of pages | 27 |
| Journal | CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY |
| Volume | 61 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1995 |
| Externally published | Yes |
Keywords
- Two-body problem
- chaos
- horseshoes
- radiation pressure
- three-body problem
ASJC Scopus subject areas
- Modeling and Simulation
- Mathematical Physics
- Astronomy and Astrophysics
- Space and Planetary Science
- Computational Mathematics
- Applied Mathematics