Diagrams of stability of circumbinary planetary systems
Abstract
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.
- Publication:
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Complex Planetary Systems, Proceedings of the International Astronomical Union
- Pub Date:
- July 2014
- DOI:
- 10.1017/S1743921314007960
- Bibcode:
- 2014IAUS..310...98P
- Keywords:
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- Celestial mechanics;
- planetary systems;
- methods: numerical