引用本文: 李征航, 龚晓颖, 刘万科. 配置法在卫星轨道积分中的应用[J]. 武汉大学学报 ( 信息科学版), 2010, 35(3): 253-256.
LI Zhenghang, GONG Xiaoying, LIU Wanke. Application of Collocation Method to Numerical Integration of Satellite Orbit[J]. Geomatics and Information Science of Wuhan University, 2010, 35(3): 253-256.
 Citation: LI Zhenghang, GONG Xiaoying, LIU Wanke. Application of Collocation Method to Numerical Integration of Satellite Orbit[J]. Geomatics and Information Science of Wuhan University, 2010, 35(3): 253-256.

## Application of Collocation Method to Numerical Integration of Satellite Orbit

• 摘要: 介绍了配置法的基本原理和计算方法,探讨了其在卫星轨道积分中的应用。分析了不同的积分步长与方法阶数对积分精度的影响,并确定了适宜的积分步长与方法阶数(与Bernese软件的缺省值一致)。此外,通过与用传统数值积分方法设计的联合积分器计算结果进行比较,得出了配置法的一些优点:可以取较大的积分步长;配置法直接给出的是各个积分区间的多项式系数,用户无需进行内插和拟合即可方便地得到任意时刻的卫星位置和速度。

Abstract: We introduced the basic principle and calculation method of collocation,and studied its application in numerical integration of satellite orbits.Experiments were carried out to analyze the impact of different integration steps and method orders on results of numerical integration.Proper integration steps and method orders were also determined(being identical to the default values of Bernese software,for GPS satellite).Moreover,by comparing with the results of combined integrator designed by traditional numerical integration method,some advantages of collocation method were showed as follows:a quite long step can be used;as the polynomial coefficients of each interval are worked out directly,users could get the position and velocity of satellites at any time without interpolating and fitting;due to the above two reasons,under the same precision condition,the computational efficiency of collocation is much higher than that of normal integration methods.

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