Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small MU greater than zero

Physics

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Analytic Functions, Hill Method, Mass Ratios, Orbit Perturbation, Three Body Problem, Existence Theorems, Fourier Series, Periodic Functions, Theorem Proving

Scientific paper

This paper establishes the existence and first order perturbation
approximation of an infinite number of one-parameter families of
symmetric periodic solutions of the restricted three body problem. These
are analytic continuations of symmetric periodic solutions of Hill's
(1878) problem for small values of the mass ratio mu greater than zero.

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