Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem |
| |
Authors: | K E Papadakis |
| |
Institution: | (1) Department of Engineering Sciences, Division of Applied Mathematics and Mechanics, University of Patras, Patras, GR, Greece, 26504 |
| |
Abstract: | We study numerically the asymptotic homoclinic and heteroclinic orbits around the hyperbolic Lyapunov periodic orbits which
emanate from Euler's critical points L
1 and L
2, in the photogravitational restricted plane circular three-body problem. The invariant stable-unstable manifolds associated
to these Lyapunov orbits, are also presented. Poincaré surface of sections of these manifolds on appropriate planes and several
homoclinic and heteroclinic orbits for the gravitational case as well as for varying radiation factor q
1, are displayed. Homoclinic-homoclinic and homoclinic-heteroclinic-homoclinic chains which link the interior with the exterior
Hill's regions, are illustrated. We adopt the Sun-Jupiter system and assume that only the larger primary radiates. It is found
that for small deviations of its value from the gravitational case (q
1 = 1), the radiation pressure exerts a significant impact on the Hill's regions and on these asymptotic orbits. |
| |
Keywords: | photogravitational restricted three-body problem asymptotic orbit homoclinic orbit heteroclinic orbit cut of Poincaré surface of section periodic orbit Lyapunov orbit |
本文献已被 SpringerLink 等数据库收录! |
|