辛积分器中沿迹误差的一种补偿方法

辛积分器严格描述了一摄动Ｈａｍｉｌｔｏｎ系统的流，因而导致天体轨道的沿迹误差随时间呈线性增长趋势。本文利用这一特点，提出了一种对其沿迹误差进行估算的数值方法，从而达到了对数值结果进行沿迹误差补偿的目的，数值结果证实了此方法在较大积分步长和较长积分时间的数值计算中是有效的。

A METHOD FOR COMPENSATING THE ALONG-TRACK ERRORS IN SYMPLECTIC INTEGRATORS

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.In this paper,the characteristic of 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 alongtrack errors.The numerical results show that the compensative effect is remarkable in the long-term integration with a larger time step.