Universal variables in the two-body problem

Details Universal variables in the two-body problem Universal variables in the two-body problem

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983amjph..51..712e&link_type=abstract

American Journal of Physics, Volume 51, Issue 8, pp. 712-717 (1983).

Physics

2

Surveys And Tutorial Papers, Resource Letters

Scientific paper

Universal variables offer a considerable improvement on classical methods of solving the two-body problem. The method has the same structure regardless of whether the orbit is an ellipse, parabola, or hyperbola. The near-parabolic orbit is handled with ease. Universal variables are particularly useful when starting with a position-velocity vector at time zero and finding this vector at any other time. This paper is tutorial, written in the belief that this method should be better known. A laboratory exercise is described which uses universal variables in plotting orbits in the solar system. The Appendix contains a concise derivation of the equations for universal variables.

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