Stable stationary solutions of an unrestricted four body problem in the case of two first-order resonances

Physics

Scientific paper

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Four Body Problem, Resonance, Planetary Orbits, Solar System, Canonical Forms, Gravitational Constant

Scientific paper

The present work is a summary of a longer work by the author (1996), which considers an unrestricted four body problem in the case of two first-order resonances (of the kind found in the Jupiter and Uranus satellite systems). New analytical solutions have been obtained for this problem with second-degree accuracy according to the eccentricities and inclinations of the planetary orbits.

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