适用于人造卫星轨道数值积分的线性多步法的研究

徐　继　鸿

(中国科学院乌鲁木齐天文站　乌鲁木齐　830011)

(中国科学院国家天文观测中心　北京　100012)

摘　　　要

    总结了多年来构造适合卫星轨道计算的线性多步积分方法的研究进展;介绍了在构造积分公式的过
程中选取伪根的三条原则。结合具体算例，对推荐的适用于不同类型卫星轨道的五组线性多步积分公
式的性能与对称方法及科威尔方法作了详细地比对和评述。





Studies on Linear Multistep Algorithm for the
Orbital Integration of Artificial Earth Satellites



Xu Jihong



(Urumqi Astronomical Observatory, The Chinese
Academy of Sciences, Urumqi 830011)



(National Astronomical  Observatories, The Chinese
Academy of  Sciences, Beijing 100012)



Abstract



The progress in my studies on linear multistep algorithm for the orbital
integration of artificial earth satellites are summeried. Three basic
principles are introduced to determine the spurious roots of the
eigen-polynomial. Five linear multistep integrators are recommended to
use in practice, and they have obvious advantages over both symmetric
and Cowell methods by means of their comparisons each other.




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