Asymptotic and Periodic Orbits Around L3 in the Photogravitational Restricted Three-Body Problem

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asymptotic Orbits, Homoclinic Orbits, Periodic Orbits, Photogravitational Restricted Three-Body Problem

Scientific paper

Asymptotic motion near the collinear equilibrium points of the photogravitational restricted three-body problem is considered. In particular, non-symmetric homoclinic solutions are numerically explored. These orbits are connected with periodic ones. We have computed numerically the families containing these orbits and have found that they terminate at both ends by asymptotically approaching simple periodic solutions belonging to the Lyapunov family emanating from L3.

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