Symplectic methods and their application to the motion of small bodies in the Solar System |
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| Authors: | T -Y Huang K A Innanen C -B Wang and Z -Y Zhao |
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| Institution: | (1) Department of Astronomy, Nanjing University, 210093 Nanjing, China;(2) Department of Physics & Astronomy, York University, M3J 1P3 Toronto, Canada;(3) Purple Mountain Observatory, Academia Sinica, 210008 Nanjing, China |
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| Abstract: | Symplectic methods have been widely used in Solar System dynamics. This paper discusses both single step and multistep symplectic methods. For single step methods we point out that the modified algorithm (Wisdom et al., 1991, Kinoshita et. al., 1991) can be executed in the mass center coordinate system and in the Jacobian coordinate system. For multistep methods we describe the connections between symmetric and symplectic methods. |
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