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Planetary Dynamics in the α Centauri System: Lyapunov Spectra and Long-term Behaviour

Published online by Cambridge University Press:  23 April 2012

E. A. Popova  and
I. I. Shevchenko
E. A. Popova
Affiliation:
Pulkovo Observatory of the Russian Academy of Sciences Pulkovskoye ave. 65, Saint Petersburg 196140, Russia email: m02pea@hotmail.com
I. I. Shevchenko
Affiliation:
Pulkovo Observatory of the Russian Academy of Sciences Pulkovskoye ave. 65, Saint Petersburg 196140, Russia email: m02pea@hotmail.com
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Abstract

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The stability of planetary motion in the binary system α Cen A–B is studied. Lyapunov spectra of the motion of the system with a single massive planet are computed on a fine grid of the initial data, and, by means of statistical analysis of the obtained data arrays, chaotic domains are identified in the “pericentric distance — eccentricity” initial data space for the planetary orbit. Association with the initial data domains for the orbits exhibiting close encounters with central stars and for the orbits exhibiting long-term escape is investigated.

Keywords

Celestial mechanicsplanetary systemsmethods: numerical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 7 , Symposium S282: From Interacting Binaries to Exoplanets: Essential Modeling Tools , July 2011 , pp. 450 - 451
Copyright
Copyright © International Astronomical Union 2012

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