On initial orbit determination

Details On initial orbit determination On initial orbit determination

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984aj.....89.1426t&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 89, Sept. 1984, p. 1426-1428. USAF-supported research.

Astronomy and Astrophysics

Astronomy

11

Artificial Satellites, Binary Stars, Lunar Orbits, Orbit Calculation, Orbital Elements, Differential Equations, Equations Of Motion, Gauss Equation, Laplace Equation

Scientific paper

The classical methods of initial orbit determination are brought together within a larger viewpoint. This new synthesis stresses that all such techniques follow one of three approaches. Either they seek to compute the orbital element set, or its equivalent, by attacking the differential equations of motion (Laplace), the first integrals of the equations of motion (Taff), or the solution itself (Gauss). The particular technique pursued within a given type of approach should depend upon the nature of the observational data, the amount of a priori information one is willing to presume, and the object of the exercise. This might be a binary star system, a moon, a minor planet, or an artificial satellite. The efficacy of some algorithms for each approach is discussed briefly. Unfortunately, none of them work very well. Extensions of these techniques to radars or laser radars are trivial and have provided no new insights into the overall problem.

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