Application of Symplectic Algebraic Dynamics Algorithm to Circular Restricted Three-Body Problem
LU Wei-Tao, ZHANG Hua, WANG Shun-Jin
Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 610064
Application of Symplectic Algebraic Dynamics Algorithm to Circular Restricted Three-Body Problem
LU Wei-Tao, ZHANG Hua, WANG Shun-Jin
Center of Theoretical Physics, School of Physics and Technology, Sichuan University, Chengdu 610064
摘要 Symplectic algebraic dynamics algorithm (SADA) for ordinary differential equations is applied to solve numerically the circular restricted three-body problem (CR3BP) in dynamical astronomy for both stable motion and chaotic motion. The result is compared with those of Runge--Kutta algorithm and symplectic algorithm under the fourth order, which shows that SADA has higher accuracy than the others in the long-term calculations of the CR3BP.
Abstract ：Symplectic algebraic dynamics algorithm (SADA) for ordinary differential equations is applied to solve numerically the circular restricted three-body problem (CR3BP) in dynamical astronomy for both stable motion and chaotic motion. The result is compared with those of Runge--Kutta algorithm and symplectic algorithm under the fourth order, which shows that SADA has higher accuracy than the others in the long-term calculations of the CR3BP.
Key words ：
02.70.-c
95.10.Ce
收稿日期: 2007-09-17
出版日期: 2008-06-26
:
02.70.-c
(Computational techniques; simulations)
95.10.Ce
(Celestial mechanics (including n-body problems))
引用本文:
LU Wei-Tao;ZHANG Hua;WANG Shun-Jin. Application of Symplectic Algebraic Dynamics Algorithm to Circular Restricted Three-Body Problem[J]. 中国物理快报, 2008, 25(7): 2342-2346.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2008/V25/I7/2342
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