On the optimal accuracy and double solution in the calculation of initial orbits

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	On the optimal accuracy and double solution in the calculation of initial orbits
	Jia, P ; Wu, L
	1999-07-01
发表期刊	CHINESE ASTRONOMY AND ASTROPHYSICS
ISSN	0275-1062
卷号	23 期号:3 页码:384-389
摘要	It is shown, by simulated calculation, that the reference vector algorithm we proposed of calculating initial orbits is "quasi-optimal", because its accuracy approaches the Cramer-Rao lower bound in the statistical theory of estimation and is proportional to the observing error. Double solution exists in the orbit calculation: the smaller the eccentricity and the closer the mean anomaly Mo is to +/-90 degrees, the greater is the probability of getting the false solution. We propose an algorithm which gives two solutions, one of which must be the true one and it has a high accuracy.
关键词	initial orbit optimal accuracy quasi-optimal algorithm
语种	英语
WOS研究方向	Astronomy & Astrophysics
WOS类目	Astronomy & Astrophysics
WOS记录号	WOS:000082410600017
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14388
专题	中国科学院数学与系统科学研究院
通讯作者	Jia, P
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Acad Sinica, Purple Mt Observ, Nanjing 210008, Peoples R China
推荐引用方式 GB/T 7714	Jia, P,Wu, L. On the optimal accuracy and double solution in the calculation of initial orbits[J]. CHINESE ASTRONOMY AND ASTROPHYSICS,1999,23(3):384-389.
APA	Jia, P,&Wu, L.(1999).On the optimal accuracy and double solution in the calculation of initial orbits.CHINESE ASTRONOMY AND ASTROPHYSICS,23(3),384-389.
MLA	Jia, P,et al."On the optimal accuracy and double solution in the calculation of initial orbits".CHINESE ASTRONOMY AND ASTROPHYSICS 23.3(1999):384-389.