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 cMculations of the CR3BP.
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 cMculations of the CR3BP.
基金
Supported in part by the National Natural Science Foundation of China under Grant Nos 90503088 and 10775100, and the Fund of Theoretical Nuclear Center of HIRFL of China.
