STUDIES ON COLLOCATIONPECE ALGORITHMAPPLIED TO ORBIT DETERMINATION OF LEO
Hong Ying 1) ; Ou Jikun 2) ; and Luo Xiaowen 2)
1) College of Science and Technology, Wuhan University of Scinece and Engineering, Wuhan 4300732) Institute of Geodesy and Geophysics, CAS, Wuhan 430077
Abstract In precise orbit determination, the PredictorEvaluationCorrectorEvaluation (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 secondorder differential equation in two ways: one changes the secondorder differential equation into the firstorder differential equation firstly, and then integrates this firstorder differential equation; the other is to integrate secondorder differential equation directly. The results of twobody 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 AdamsPECE algorithm and the common PECE algorithm in practice.
Hong Ying Ou Jikun ,and Luo Xiaowen ,$author.xingMing_EN. STUDIES ON COLLOCATIONPECE ALGORITHMAPPLIED TO ORBIT DETERMINATION OF LEO[J]. , 2007, 27(4): 72-76.
Hong Ying Ou Jikun ,and Luo Xiaowen ,$author.xingMing_EN. STUDIES ON COLLOCATIONPECE ALGORITHMAPPLIED TO ORBIT DETERMINATION OF LEO[J]. jgg, 2007, 27(4): 72-76.
