A new procedure for the solution of the classical problem of minimal orbit determination from three lines of sight

被引：71
作者：
Gooding, RH
机构：
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1997年 / 66卷 / 04期
关键词：
two-body problem; orbit determination; angles only;
D O I：
10.1007/BF00049379
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A new method has been developed for obtaining multiple solutions of the classical angles-only initial-orbit-determination problem. The method operates by a higher-order Newton correction of the assumed values for two of the unknown ranges, with the author's universal Lambert algorithm at the heart of the procedure. The observations are permitted to span several revolutions when the orbit is elliptic, and the method is free of artificial singularities in the configuration of observers and sight-lines; thus it has been successfully used with some test problems that would not be solvable by existing methods.
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页码：387 / 423
页数：37
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