Stability of resonant planetary orbits in binary stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Orbital Resonances (Celestial Mechanics), Planetary Orbits, Planetary Systems, Dynamic Stability, Equations Of Motion, Four Body Problem, Jacobi Integral

Scientific paper

This paper contains a numerical study of the stability of resonant orbits in a planetary system consisting of two planets moving under the gravitational attraction of a binary star. The numerical results show that the main mechanism which generates instability is the destruction of the Jacobi integrals of the massless planets when their masses become nonzero. Considerable intervals of stable resonant orbits have been found.

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