Numerical Algorithms for Solving Restricted Three Body Problem

Abstract:

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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.

Info:

Periodical:

Edited by:

Zhu Zhilin & Patrick Wang

Pages:

917-923

DOI:

10.4028/www.scientific.net/AMM.40-41.917

Citation:

Y. Y. Zhang et al., "Numerical Algorithms for Solving Restricted Three Body Problem", Applied Mechanics and Materials, Vols. 40-41, pp. 917-923, 2011

Online since:

November 2010

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Price:

$35.00

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