Central configurations and a theorem of Palmore

Details Central configurations and a theorem of Palmore Central configurations and a theorem of Palmore

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48..347s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 4, 1990, p. 347-355.

Statistics

Computation

1

Equations Of Motion, Gravitational Constant, Many Body Problem, Computational Astrophysics, Equilibrium Equations

Scientific paper

The concept of central configuration is important in the study of total collisions or the relative equilibrium state of a rotating system in the N-body problem. However, relatively few such configurations are known. A new global optimizer is used to construct new families of coplanar central configurations having particles of equal mass. These constructions are then extended to some configurations with differing masses and the noncoplanar case. Straightforward analytic arguments and inequalities are used to disprove Palmore's (1976) theorem for 2N equal masses with N = 3 or greater.

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