Open AccessOn stacked central configurations of the planar coorbital satellites problem
Author(s) -
Allyson Oliveira,
Hildeberto E. Cabral
Publication year - 2012
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2012.32.3715
Subject(s) - infinitesimal , planar , satellite , physics , work (physics) , geometry , mathematics , computer science , mathematical analysis , astronomy , quantum mechanics , computer graphics (images)
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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