The Inverse Problem for Collinear Central Configurations |
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| Authors: | Alain Albouy Richard Moeckel |
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| Institution: | (1) Astronomie et Systèmes Dynamiques, Institut de Mécanique, Céleste, 77, av. Denfert-Rochereau, 75014 Paris, France;(2) School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, U.S.A. |
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| Abstract: | We consider the problem: given a collinear configuration of n bodies, find the masses which make it central. We prove that for n ≤ 6, each configuration determines a one-parameter family
of masses (after normalization of the total mass). The parameter is the center of mass when n is even and the square of the angular velocity of the corresponding circular periodic orbit when n is odd. The result is expected to be true for any n.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | inverse problem n-body problem central configuration |
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