Chaos in Planetary Formation Around Wide-Binary Star Systems

Astronomy and Astrophysics – Astronomy

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Scientific paper

The dynamical chaos of the planets in our Solar System, as well as in several extrasolar planetary systems, has been widely studied. With the recent advances of planetary accretion algorithms (Chambers et al. 2002, AJ, 123, 2884), simulations of planet formation in binary star systems enable both a survey of the diversity of planets that can form in binaries, as well as a further study of the chaotic nature of these N-body systems.
We have performed numerous simulations of planetary accretion around one star of a widely separated (a = 10 - 20 AU) binary system, and follow the growth from planetesimals in a circumstellar disk into planets. For each binary system simulated, we perform 10 integrations with virtually the same circumstellar mass distribution, but slightly change the position of one planetesimal prior to the simulation. The final planetary systems formed sensitively depend on the starting conditions, and we calculate the Lyapunov exponents (divergence timescales) for the orbital elements of each planet as a function of time in order to demonstrate and quantify the chaos in these systems.

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