Central configurations of the planar 1 + N body problem

Details Central configurations of the planar 1 + N body problem Central configurations of the planar 1 + N body problem

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..273c&link_type=abstract

Celestial Mechanics & Dynamical Astronomy (ISSN 0923-2958), vol. 60, no. 2, p. 273-288

Mathematics

9

Celestial Mechanics, Many Body Problem, Orbital Mechanics, Astronomical Models, Branching (Mathematics), Equations Of Motion

Scientific paper

In this paper, we give a new derivation of the equations for the central
configurations of the 1 + n body problem. In the case of equal masses,
we show that for n large enough there exists only one solution. Our
lower bound for n improves by several orders of magnitude the one
previously found by Hall.

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