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Collocation-PECE?????????????????е????
引用本文:洪樱,欧吉坤,罗孝文.Collocation-PECE?????????????????е????[J].大地测量与地球动力学,2007,27(4):72-76.
作者姓名:洪樱  欧吉坤  罗孝文
作者单位:1. 武汉科技学院理学院,武汉,430073
2. 中国科学院测量与地球物理研究所,武汉,430077
基金项目:国家自然科学基金(40474009,40674012),中国科学院海外杰出学者基金(2005-1-15)
摘    要:???????????У?PECE????????????????????????????Collocation????????????????幫??????????μ?PECE???????????????????ж??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????Adams-PECE????????PECE?????????????????????????????,???????????Collocation-PECE??????????????н???????????????Ч??

关 键 词:PECE??  Collocation????  Adams??  ???????  ??????  
文章编号:1671-5942(2007)04-0072-05
修稿时间:2007-03-18

STUDIES ON COLLOCATION-PECE ALGORITHM APPLIED TO ORBIT DETERMINATION OF LEO
Hong Ying,Ou Jikun,Luo Xiaowen.STUDIES ON COLLOCATION-PECE ALGORITHM APPLIED TO ORBIT DETERMINATION OF LEO[J].Journal of Geodesy and Geodynamics,2007,27(4):72-76.
Authors:Hong Ying  Ou Jikun  Luo Xiaowen
Institution:1. College of Science and Technology, Wuhan University of Scinece and Engineering, Wuhan 430073; 2. Institute of Geodesy and Geophysics, CAS, Wuhan 430077
Abstract:In precise orbit determination,the Predictor-Evaluation-Corrector-Evaluation(PECE)algorithm has become the most popular one at present.A new kind of PECE algorithm can be constructed by using extrapolation and interpolation formula of Collocation method.This algorithm can solve a second-order differential equation in two ways:one changes the second-order differential equation into the first-order differential equation firstly,and then integrates this first-order differential equation;the other is to integrate second-order differential equation directly.The results of two-body problem and LEO perturbed orbit calculated with these two types of collocation method respectively show that the second type of Collocation method is more efficient than the first type of algorithm,the Adams-PECE algorithm and the common PECE algorithm in practice.
Keywords:PECE algorithm  Collocation method  Adams algorithm  LEO(Low Earth Orbit)  perturbed orbit
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