A Geometric Property of Hill's Curves

Details A Geometric Property of Hill's Curves A Geometric Property of Hill's Curves

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..17..193m&link_type=abstract

Celestial Mechanics, Volume 17, Issue 2, pp.193-194

Physics

Scientific paper

The following is proved in this note: If we construct a circle passing through a given primary in the planar circular restricted three-body problem, center of which is the remaining primary, then the minor arc of this circle with endpoints represented by the triangular libration points represents-when the given primary is excluded-locus of all the points on the Hill's curves that are the least distant points from the given primary.

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