The scattering map in the planar restricted three body problem

Details The scattering map in the planar restricted three body problem The scattering map in the planar restricted three body problem

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95..155c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 155-171

Astronomy and Astrophysics

Astronomy

1

Restricted Three Body Problem, Homoclinic Orbits, Normally Hyperbolic Invariant Manifolds, Scattering Map

Scientific paper

We study homoclinic transport to Lyapunov orbits around a collinear libration point in the planar restricted three body problem. A method to compute homoclinic orbits is first described. Then we introduce the scattering map for this problem (defined on a suitable normally hyperbolic invariant manifold) and we show how to compute it using the information already obtained for the homoclinic orbits. An example application to Astrodynamics is also proposed.

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