The Web of Periodic Orbits at L4

Astronomy and Astrophysics – Astronomy

Scientific paper

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Periodic Orbits, Equilibrium Points, Restricted Problem

Scientific paper

We describe and comment the results of a numerical exploration of the numerous natural families of periodic orbits associated with the L4 equilibrium point of the restricted problem of three bodies (and of course by symmetry those associated with the L5 equilibrium point). These families are organized in a very structured network or coweb and this structure evolves, when the mass ratio μ varies, in a very organized way.

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