DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wie, Bong | ko |
dc.contributor.author | Ahn, Jaemyung | ko |
dc.date.accessioned | 2023-10-05T11:00:30Z | - |
dc.date.available | 2023-10-05T11:00:30Z | - |
dc.date.created | 2023-10-05 | - |
dc.date.issued | 2016-02 | - |
dc.identifier.citation | 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, pp.3201 - 3220 | - |
dc.identifier.issn | 1081-6003 | - |
dc.identifier.uri | http://hdl.handle.net/10203/313044 | - |
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) = x8 + ax6 + bx3 + 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. Recently, Gim Der has claimed that the 200-year-old, angles-only IOD riddle associated with the discovery and tracking of asteroid Ceres has been finally solved by using a new angles-only IOD algorithm that doesn't utilize any a priori knowledge and/or additional observations of the object. In this paper, a very simple method of determining the correct root from two or three non-spurious roots is presented. The proposed method exploits a simple approximate polynomial equation of the form: g(x) = x8 + ax6 = 0. An approximate polynomial equation, either g(x) = x8 + c = 0 or g(x) = x8 + ax6 = x6(x2 + a) = 0, can also be used for quickly estimating an initial guess of the correct root. | - |
dc.language | English | - |
dc.publisher | Univelt Inc. | - |
dc.title | On selecting the correct root of angles-only initial orbit determination equations of Lagrange, Laplace, and Gauss | - |
dc.type | Conference | - |
dc.identifier.wosid | 000403301401052 | - |
dc.identifier.scopusid | 2-s2.0-85007323257 | - |
dc.type.rims | CONF | - |
dc.citation.beginningpage | 3201 | - |
dc.citation.endingpage | 3220 | - |
dc.citation.publicationname | 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 | - |
dc.identifier.conferencecountry | US | - |
dc.identifier.conferencelocation | Napa | - |
dc.contributor.localauthor | Ahn, Jaemyung | - |
dc.contributor.nonIdAuthor | Wie, Bong | - |
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