Application of symplectic algorithm to dynamical astronomy. III

Details Application of symplectic algorithm to dynamical astronomy. III Application of symplectic algorithm to dynamical astronomy. III

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cha%26a..18..323l&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 18, Issue 3, p. 323-339.

Astronomy and Astrophysics

Astrophysics

Hamiltonian Systems-Symplectic Algorithm-Along-Track Error

Scientific paper

The two previous papers of this series[1,2] qualitatively clarified the main function of symplectic algorithm[3-6] of maintaining the global structure of hamiltonian systems. In this paper we exploit one of its quantitative advantages-the control of rapid growth of along-track error. With a small improvement in the explicit symplectic difference scheme for separable systems, the algorithm can be extended to more general systems containing small dissipative and non-separable terms. Very good results were obtained showing that the symplectic algorithm has great advantages over usual, non-symplectic ones.

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