Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The ring problem deals with the motion of a small body which is subjected to the combined gravitational attraction of N massive bodies arranged in an annular configuration. In this paper we study the distribution of the triple periodic orbits in the phase space of the initial conditions and we discuss their evolution and their principal features.

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