On Algorithms for N-body Problems

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (5): 599-603.

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On Algorithms for N-body Problems

YANG Yuan-ling¹, NIE Qing-xiang¹, WU Xiao-mei², XU Shun-fu¹

1. College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;
2. Taishan University, Taian 271021, China

Received:2005-05-24 Revised:2005-12-16 Online:2006-09-25 Published:2006-09-25

Abstract

Abstract: The Runge-Kutta-Fehlberg algorithm(RKF),the symplectic algorithm and the Hermite algorithm for N-body problems are studied with energies errors and semimajor axis and eccentricity.It shows that the precision of RKF is the highest,but its error increases with computation time.The symplectic algorithm has no artificial dissipation,and keeps stability of the energy error.The structure of the Hermite algorithm is simple and its computation time is short,but its error is greater than that of the other two.

Key words: Hamilton system, Runge-Kutta-Fehlberg algorithm, symplectic algorithm, Hermite algorithm, two-body problem, N-body problem

CLC Number:

P132

YANG Yuan-ling, NIE Qing-xiang, WU Xiao-mei, XU Shun-fu. On Algorithms for N-body Problems[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(5): 599-603.

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On Algorithms for N-body Problems

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