Stable stationary solutions for the unrestricted three body problem in the case of first order resonance

Computer Science

Scientific paper

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Three Body Problem, Orbital Resonances (Celestial Mechanics), Solar Orbits, Analytic Functions, Numerical Stability

Scientific paper

The paper provides a summary of the results obtained in an earlier study (Shinkin, 1996) concerned with the unrestricted three body problem for the case of first order resonance and central planet compression. New analytical stationary solutions obtained to third order accuracy with respect to the eccentricities and inclinations of the planet orbits are presented.

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