One simplified variant of the three-dimensional, circular, restricted, three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Circular Orbits, Orbit Perturbation, Three Body Problem, Analytic Functions, Disturbing Functions, Eccentricity, Fourier Series, Kepler Laws

Scientific paper

A simplified variant of the three-dimensional restricted circular
three-body problem is obtained from the strict problem by the averaging
method. A complete system of first integrals is obtained for a given
accuracy of the Le Verrier expansion of the perturbation function.

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