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.
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.
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.
Citation: 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.

地影模型对导航卫星轨道数值积分的影响及改进

How Navigation Satellite Orbit Numerical Integration Affected by Shadow Model and Its Correcting Methods

  • 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。

     

    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.

     

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