The invariance of the restricted problem of three bodies

Details The invariance of the restricted problem of three bodies The invariance of the restricted problem of three bodies

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..287j&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, July 1985, p. 287-298.

Mathematics

Celestial Mechanics, Three Body Problem, Coordinates, Jacobi Integral, Lie Groups, Operators (Mathematics)

Scientific paper

The restricted problem of three bodies in sidereal coordinates is
investigated using Lie theoretical methods of extended groups. The
application of the theory results in a single scalar generator with an
associated invariant - the integral of the motion attributed to Jacobi.

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