Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
61 (1995), S. 287-313
ISSN:
1572-9478
Keywords:
Two-body problem
;
radiation pressure
;
horseshoes
;
chaos
;
three-body problem
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00051898
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