A method for compensating the along-track errors in symplectic integrators.

Details A method for compensating the along-track errors in symplectic integrators. A method for compensating the along-track errors in symplectic integrators.

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995acasn..36..101l&link_type=abstract

Acta Astron. Sin., Vol. 36, No. 1, p. 101 - 106

Astronomy and Astrophysics

Astronomy

Celestial Mechanics: Numerical Methods, Astrodynamics: Numerical Methods

Scientific paper

The growth of the along-track errors of celestial orbits in a symplectic integrator is linear with time. This is due to that the symplectic integrator describes exactly the flow of a perturbed Hamiltonian system. The characteristics of a symplectic integrator is used to put forward a way of estimating the along-track errors, thus the numerical results can be compensated by the corresponding along-track errors. The numerical results show that the compensative effect is remarkable in the long-term integration with a larger time step.

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