Exact Analytical Solutions Basic to a Class of Two-Body Orbits

Details Exact Analytical Solutions Basic to a Class of Two-Body Orbits Exact Analytical Solutions Basic to a Class of Two-Body Orbits

Feb 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cemec...7..225b&link_type=abstract

Celestial Mechanics, Volume 7, Issue 2, pp.225-235

Mathematics

Complex Variables

1

Scientific paper

The theory of complex variables is used to establish exact analytical solutions to a class of two-body problems. In view of Lambert's theorem, two points on the conic, the chord-distance between the two points, and the time interval are considered given, and subsequently the solutions for the semi-major axis required to define the orbit are developed and expressed ultimately in terms of elementary quadratures.

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