The two-body problem with radiation pressure in a rotating reference frame

Details The two-body problem with radiation pressure in a rotating reference frame The two-body problem with radiation pressure in a rotating reference frame

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61..287d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 61, no. 3, p. 287-313

Mathematics

6

Field Theory (Physics), Newton Methods, Perturbation Theory, Radiation Pressure, Reference Systems, Rotation, Three Body Problem, Two Body Problem, Chaos, Equations Of Motion, Hamiltonian Functions, Stochastic Processes, Transformations (Mathematics)

Scientific paper

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 Melinikov-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-inntegrability. We discuss the consequences of these results for a particular planar restricted three-body problem.

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