A dynamical stability study of Kepler Circumbinary Planetary systems with one planet
arXiv:1411.7761 · doi:10.1093/mnras/stu2142
Abstract
To date, 17 circumbinary planets have been discovered. In this paper, we focus our attention on the stability of the Kepler circumbinary planetary systems with only one planet, i.e. Kepler-16, Kepler-34, Kepler-35, Kepler-38, Kepler-64 and Kepler-413. In addition to their intrinsic interest, the study of such systems is an opportunity to test our understanding of planetary system formation and evolution around binaries. The investigation is done by means of numerical simulations. We perform numerical integrations of the full equations of motion of each system with the aim of checking the stability of the planetary orbit. The investigation of the stability of the above systems consists of three numerical experiments. In the first one we perform a long term (1Gyr) numerical integration of the nominal solution of the six Kepler systems under investigation. In the second experiment, we look for the critical semimajor axis of the six planetary orbits, and finally, in the third experiment, we construct two dimensional stability maps on the eccentricity-pericentre distance plane. Additionally, using numerical integrations of the nominal solutions we checked if this solutions were close to the exact resonance.
11 pages, 11 figure
References in corpus (7)
- The Transiting Circumbinary Planets Kepler-34 and Kepler-35
- Dynamics of the giant planets of the solar system in the gaseous proto-planetary disk and relationship to the current orbital architecture
- The sdB+M Eclipsing System HW Virginis and its Circumbinary Planets
- On the formation and migration of giant planets in circumbinary discs
- Stability criteria for hierarchical triple systems
- Geometrical and Physical Properties of Circumbinary Discs in Eccentric Stellar Binaries
- New scaling for the alpha effect in slowly rotating turbulence