New stacked central configurations for the planar 5-body problem

Details New stacked central configurations for the planar 5-body problem New stacked central configurations for the planar 5-body problem

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.110...43l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 110, Issue 1, pp.43-52

Astronomy and Astrophysics

Astronomy

Scientific paper

A stacked central configuration in the n-body problem is one that has a proper subset of the n-bodies forming a central configuration. In this paper we study the case where three bodies with masses m 1, m 2, m 3 (bodies 1, 2, 3) form an equilateral central configuration, and the other two with masses m 4, m 5 are symmetric with respect to the mediatrix of the segment joining 1 and 2, and they are above the triangle generated by {1, 2, 3}. We show the existence and non-existence of this kind of stacked central configurations for the planar 5-body problem.

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