DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wie, Bong | ko |
dc.contributor.author | Ahn, Jaemyung | ko |
dc.date.accessioned | 2017-03-28T06:49:52Z | - |
dc.date.available | 2017-03-28T06:49:52Z | - |
dc.date.created | 2016-12-19 | - |
dc.date.created | 2016-12-19 | - |
dc.date.issued | 2017-03 | - |
dc.identifier.citation | JOURNAL OF THE ASTRONAUTICAL SCIENCES, v.64, no.1, pp.50 - 71 | - |
dc.identifier.issn | 0021-9142 | - |
dc.identifier.uri | http://hdl.handle.net/10203/220857 | - |
dc.description.abstract | This paper is concerned with a classical yet still mystifying problem regarding multiple roots of the angles-only initial orbit determination (IOD) polynomial equations of Lagrange, Laplace, and Gauss of the form: f(x) = x (8)+a x (6)+b x (3)+c=0 where a,c < 0. A possibility of multiple non-spurious roots of this 8th order polynomial equation with b > 0 has been extensively treated in the celestial mechanics literature. However, the literature on applied astrodynamics has not treated this multiple-root issue in detail, and not many specific numerical examples with multiple roots are available in the literature. In this paper, a very simple method of determining the correct root from two or three non-spurious roots is presented, which doesn't utilize any a priori knowledge and/or additional observations of the object. The proposed method exploits a simple approximate polynomial equation of the form: g(x) = x (8)+a x (6)=0. An approximate polynomial equation, either g(x) = x (8)+c=0 or g(x) = x (8)+a x (6)=x (6)(x (2)+a) = 0, can also be used for quickly estimating an initial guess of the correct root. | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | On Selecting the Correct Root of Angles-Only Initial Orbit Determination Equations of Lagrange, Laplace, and Gauss | - |
dc.type | Article | - |
dc.identifier.wosid | 000392645900003 | - |
dc.identifier.scopusid | 2-s2.0-85010034599 | - |
dc.type.rims | ART | - |
dc.citation.volume | 64 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 50 | - |
dc.citation.endingpage | 71 | - |
dc.citation.publicationname | JOURNAL OF THE ASTRONAUTICAL SCIENCES | - |
dc.identifier.doi | 10.1007/s40295-016-0097-x | - |
dc.contributor.localauthor | Ahn, Jaemyung | - |
dc.contributor.nonIdAuthor | Wie, Bong | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Initial Orbit Determination (IOD)-8th order polynomial equations of lagrange | - |
dc.subject.keywordAuthor | Laplace | - |
dc.subject.keywordAuthor | Gauss-space situational awareness | - |
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