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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 |
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Cite this article: |
LU Wei-Tao, ZHANG Hua, WANG Shun-Jin 2008 Chin. Phys. Lett. 25 2342-2346 |
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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.
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Keywords:
02.70.-c
95.10.Ce
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Received: 17 September 2007
Published: 26 June 2008
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PACS: |
02.70.-c
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(Computational techniques; simulations)
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95.10.Ce
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(Celestial mechanics (including n-body problems))
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