Stability of S-type Orbits in Binaries

Astronomy and Astrophysics – Astronomy

Scientific paper

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Double Stars, S-Type Motion, Fast Lyapunov Indicators, Double Stars, S-Type Motion, Fast Lyapunov Indicators

Scientific paper

This numerical investigation is concerned with the stability of planets moving around one component of a double star system. Since the discovery of four extra solar planets moving in such orbits, there is a growing interest of stability studies thereto. We determined the stable regions in the elliptic restricted three body problem, for the whole range of mass-ratios from 0.1 to 0.9, by means of the Fast Lyapunov Indicators. The computations have been carried out for eccentricities of the binary and of the planet in the range 0 0.5. Therefore, we present for the first time the variation of the stable regions when the initial eccentricity of the planet is increased. We have found a correlation between the reduction of the stable zones if the eccentricity of the planet or of the binary is increased — of course the latter one is more effective.

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