A method of symplectic integrations with adaptive time-steps for individual Hamiltonians in the planetary N-body problem |
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| Authors: | Vacheslav Vasilievitch Emel’yanenko |
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| Affiliation: | (1) Department of Computational and Celestial Mechanics, South Ural University, Lenina 76, Chelyabinsk, 454080, Russia |
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| Abstract: | A new algorithm is developed for long-term integrations of the N-body problem. The method uses symplectic integrations of the Hamiltonian equations of motion for each body. This allows one to employ individual adaptive time-steps in computations. The efficiency of this technique is demonstrated by several tests performed for typical problems of Solar System dynamics. |
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| Keywords: | Symplectic integration Adaptive integrators N-body simulations |
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