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地影模型对导航卫星轨道数值积分的影响及改进
引用本文:陈刘成.地影模型对导航卫星轨道数值积分的影响及改进[J].武汉大学学报(信息科学版),2007,32(5):450-453.
作者姓名:陈刘成
作者单位:上海天文台,上海市南丹路80号,200030北京环球信息应用开发中心,北京市5136信箱,100094
摘    要:以RKF7(8)和Adams12阶PECE方法为例,分析了单步法积分器和多步法积分器在圆柱体、双锥形地影模型下,地影边界对导航卫星轨道积分的影响,并提出了相应的改进方法。改进方法原理简单,在3d积分弧段内最大误差优于cm级。

关 键 词:天体测量学  地影模型  数值积分  改进  Encke  积分
文章编号:1671-8860(2007)05-0450-04
修稿时间:2007年1月28日

How Navigation Satellite Orbit Numerical Integration Affected by Shadow Model and Its Correcting Methods
CHEN Liucheng.How Navigation Satellite Orbit Numerical Integration Affected by Shadow Model and Its Correcting Methods[J].Geomatics and Information Science of Wuhan University,2007,32(5):450-453.
Authors:CHEN Liucheng
Abstract:In this article, it is analyzed that how the GEO orbit propagation with a singe step numerical integrator, the representative Runge-Kutta(RKF7(8))method, or a multi-steps one, the representative 12 degrees PECE method, affected by the boundaries of cylinder shadow model or conical shadow model. And more, some correcting methods are introduced according to the idiographic problems. All the introduced methods are convenient for users to program with simple principles, and lead to high accuracy corrected orbit. The maximal bias in 3 day length arcs is in centimeter magnitude, even less.
Keywords:astrometry  shadow model  numerical integration  corrected Encke integration
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