The secular analytical solution of the orbital plane using Lindstedt-Poincare method

doi:10.1016/j.asr.2017.08.032

	The secular analytical solution of the orbital plane using Lindstedt-Poincare method
	Yu, Shengxian 1; Zhao, Changyin ; Zhang, Wei
刊名	ADVANCES IN SPACE RESEARCH
	2017-11-15
卷号	60 期号:10 页码:2166-2180
关键词	Analytical solution Space object Lindstedt-Poincare procedure
ISSN号	0273-1177
DOI	10.1016/j.asr.2017.08.032
通讯作者	Yu, Shengxian(yusx@pmo.ac.cn)
英文摘要	Nowadays, the increasing amount of space objects makes the space so crowded that the satellites in orbit endure severe environment. Hence how to efficiently search and catalog these space objects becomes an urgent problem to be solved. In the paper, in order to contribute to this problem, the secular analytical solution of the orbital plane for medium and high orbit objects is studied. For medium and high orbit objects, the Earth's oblateness and the lunisolar gravitational perturbations are considered. The double averaging method is used to first average the system. For small to medium orbit inclinations and small eccentricities, and then the differential equations can be rewritten in an expansion form. Combining the Lindstedt-Poincare procedure and the solution for differential equations with special coefficients, the third-order analytical solutions can be derived step by step. Finally, two kinds of comparisons are carried out. One is the comparison between the analytical solution and the results derived by integrating the simplified model. It aims to verify the validity of these methods. The other one is the comparison with the integration results of the normal model to show the accuracy of the analytical solution. Both of the two comparisons results work well. The accuracy of the analytical solution can be maintained at the order of O(10(-3)) for the duration of 200 yrs. (C) 2017 COSPAR. Published by Elsevier Ltd. All rights reserved.
WOS关键词	CIRCULAR ORBIT ; MOTION
WOS研究方向	Astronomy & Astrophysics ; Geology ; Meteorology & Atmospheric Sciences
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000414885000005
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/22562]
专题	中国科学院紫金山天文台
通讯作者	Yu, Shengxian
作者单位	1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China 2.Chinese Acad Sci, Key Lab Space Object & Debris Observat, Nanjing 210008, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Yu, Shengxian,Zhao, Changyin,Zhang, Wei. The secular analytical solution of the orbital plane using Lindstedt-Poincare method[J]. ADVANCES IN SPACE RESEARCH,2017,60(10):2166-2180.
APA	Yu, Shengxian,Zhao, Changyin,&Zhang, Wei.(2017).The secular analytical solution of the orbital plane using Lindstedt-Poincare method.ADVANCES IN SPACE RESEARCH,60(10),2166-2180.
MLA	Yu, Shengxian,et al."The secular analytical solution of the orbital plane using Lindstedt-Poincare method".ADVANCES IN SPACE RESEARCH 60.10(2017):2166-2180.