Asymptotic and periodic motion around collinear equilibria in Chermnykh's problem

Astronomy and Astrophysics – Astrophysics

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Celestial Mechanics, Methods: Numerical

Scientific paper

In this paper we study the asymptotic motion to the collinear equilibrium points of Chermnykh's problem. More specifically, we give three kinds of non-symmetric doubly-asymptotic solutions emanating from L1 and L3. We also show that these solutions are closely connected to the families of periodic orbits generated around these equilibria.

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