Numerical Algorithms for Solving Restricted Three Body Problem
A precise integration algorithm for solving the restricted three body problem was put forward based on precise integration method, which divided a large integration time into small intervals and only small value matrix participates in the iterative process during the computation of the exponent matrix. And another symplectic algorithm for solving non-separable Hamiltonian system constructed by flow complex was also introduced, which only had periodic variational energy. The results of both algorithms were compared with fourth Runge-Kutta algorithm and their performances and advantages were analyzed, showing the validities of these two algorithms.
Zhu Zhilin & Patrick Wang
Y. Y. Zhang et al., "Numerical Algorithms for Solving Restricted Three Body Problem", Applied Mechanics and Materials, Vols. 40-41, pp. 917-923, 2011