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Diagrams of stability of circumbinary planetary systems

Published online by Cambridge University Press:  05 January 2015

Elena Popova
Elena Popova*
Affiliation:
Pulkovo Observatory of the Russian Academy of Sciences, Pulkovskoye ave. 65, Saint Petersburg 196140, Russia email: m02pea@gmail.com
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Abstract

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The stability diagrams in the “pericentric distance — eccentricity” plane of initial data are built and analyzed for Kepler-38, Kepler-47, and Kepler-64 (PH1). This completes a survey of stability of the known up to now circumbinary planetary systems, initiated by Popova & Shevchenko (2013), where the analysis was performed for Kepler-16, 34, and 35. In the diagrams, the planets appear to be “embedded” in the fractal chaos border; however, I make an attempt to measure the “distance” to the chaos border in a physically consistent way. The obtained distances are compared to those given by the widely used numerical-experimental criterion by Holman & Wiegert (1999), who employed smooth polynomial approximations to describe the border. I identify the resonance cells, hosting the planets.

Keywords

Celestial mechanicsplanetary systemsmethods: numerical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 9 , Issue S310: Complex Planetary Systems , July 2014 , pp. 98 - 100
Copyright
Copyright © International Astronomical Union 2014 

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