N-Body Simulations for Exoplanet Systems

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Scientific paper

We present N-body simulations of a multi-transiting system from the NASA Kepler mission. The detection rate of exoplanet candidates is rapidly increasing since the launch of Kepler in 2009. Kepler detection, often supported by follow-up radial velocity measurements, generates evidence for multi-planet systems, but further confirmation is sometimes required. We use N-body simulations to explore the dynamical interactions and the long-term stability of Kepler multi-transiting system KOI-82 using the Mercury integrator (written by J. Chambers). For systems where few initial parameters are known, such as planetary radii, orbital periods and central body mass calculated from transit light curves, densities and eccentricities can be constrained by whether stability holds. We have tested our N-body code against the known mean motion resonance and secular resonance effects in the GJ 876 system, including the apsidal corotation. N-body simulations allow the exploration of such planetary resonance and evolution, while also having the potential to be coupled with other programs to simulate transit light curves, calculate transit timing variations and possibly detect moons around exoplanets. We will present a dynamical analysis of the interactions and stability of the multi-transiting planet system from Kepler, KOI-82.

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