Stability and Bifurcations of Sitnikov Motions

Details Stability and Bifurcations of Sitnikov Motions Stability and Bifurcations of Sitnikov Motions

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..42..187p&link_type=abstract

Celestial Mechanics, Volume 42, Issue 1-4, pp. 187-200

Computer Science

Scientific paper

A family of straight line periodic motions, known as the Sitnikov motions and existing in the case of equal primaries of the three body problem, is studied with respect to stability and bifurcations. Continuation of the bifurcations into the case of unequal primaries is also discussed and some of the bifurcating families of three-dimensional periodic motions are computed.

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