Three--Dimensional N--Body Simulations of Planetary Formation and Dynamics

Physics

Scientific paper

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Scientific paper

We have developed a three--dimensional gravitational N--body simulation to study the final stages of solar system formation. The integration scheme is based on the Hermite Individual Timestep (HITS) algorithm where each body has its own time and timestep. This achieves a balance between accuracy and efficiency since a body can have a large timestep when it is subject to small perturbations and its orbit is nearly Keplerian. When perturbations are large, such as during a close encounter or collision between bodies, the timestep is reduced. We present the results of tests that verify the validity of our code and the results of a preliminary study of the final stage of planetary formation in the terrestrial region. In addition, we have used our simulation to study the orbital evolution of the recently discovered asteroid 1997 XF_11 which is an object that will make several close approaches to the Earth in the next few decades.

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