航天器轨道外推中应用高斯-杰克逊积分器时若干问题的研究

Discussion on Accuracy and Stability of Gauss-Jackson Integrator for Orbit Propagation

多步法积分器在航天器轨道外推中广泛应用,首先从基本原理上对几种多步法积分器进行详尽的阐述,诠释了高斯-杰克逊法与其他算法的关系,其次利用数值仿真与其他多步法积分器在轨道外推应用中进行了比较,最后针对高斯-杰克逊积分器在轨道方程积分中的应用分析了该积分器的精度与稳定性。得出结论高斯-杰克逊算法同阶情况下要比阿当姆斯-考威尔算法精度高,稳定性好。

Multi-step integrators are widely used in numerical orbit propagation.The Gauss-Jackson integrator is a fixed- step method.The derivation of this algorithm and its relation with some other multi-step methods is explained.Simulations for orbit propagation are done to show the features of Gauss-Jackson integrator.Finally,there is a discussion on stability and accu- racy,and it comes to the conclusion that Gauss-Jackson integrator is more accurate and stable than Adams-Cowell integrator with same order for orbit propagation.