A new method of initial orbit determination

Details A new method of initial orbit determination A new method of initial orbit determination

Jun 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..39..181m&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 39, no. 2, 1986, p. 181-190.

Astronomy and Astrophysics

Astronomy

3

Artificial Satellites, Astrodynamics, Celestial Mechanics, Gravitation, Orbit Calculation, Satellite Orbits, Equations Of Motion, Fibonacci Numbers, Hamiltonian Functions, Two Body Problem

Scientific paper

A new method of initial orbit determination for angles-only data is presented. The technique is applicable with only three data sets but the formalism can incorporate arbitrarily large amounts of data. The algorithm rests on the fact that the orbital plane is usually very well determined, as a consequence of the central nature of the gravitational force, and a theorem of Hamilton's from 1846. His result states that the velocity vector describes a circle in the orbital plane in a particular manner. Tests on a variety of deep-space artificial satellites show that the method has promise. Unfortunately it does not work very well on the stressing cases of current practical application - high eccentricity orbits.

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