On stacked central configuration of the planar coorbital satellites problem

2011/03/31 by Allyson Oliveira, Oliveira, Allyson, Hildeberto Cabral +1
Mathematics · #70F15 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:70F15

paper · pdf · doi:10.48550/arxiv.1103.6271

19 pages, 7 figures

arxiv created 2011/03/31 · arxiv updated 2011/04/01

Abstract

In this work we look for central configurations of the planar 1 + n body problem such that, after the addition of one or two satellites, we have a new planar central configuration. We determine all such configurations in two cases: the first, the addition of two satellites considering that all satellites have equal infinitesimal masses and the second case where one satellite is added but the infinitesimal masses are not necessarily equal.

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