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Rigidity of planar central configurations

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Abstract

In this article, we study the rigidity of planar central configurations in the non-collinear n-body problem relative to the change of masses. More precisely, we study central configurations for which it is possible to change the values of k masses keeping fixed all the positions and the values of the masses of the other n − k bodies and still have central configurations. Here, we consider the cases k = 1 and k = 2. The central configurations that have such properties are closely related to the so-called stacked central configurations and super central configurations.

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Authors and Affiliations

  1. Instituto de Matemática e Computação, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, Itajubá, MG, CEP 37.500–903, Brazil

    Antonio Carlos Fernandes & Luis Fernando Mello

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  1. Antonio Carlos Fernandes
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  2. Luis Fernando Mello
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Correspondence to Antonio Carlos Fernandes.

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Fernandes, A.C., Mello, L.F. Rigidity of planar central configurations. Z. Angew. Math. Phys. 66, 2979–2994 (2015). https://doi.org/10.1007/s00033-015-0564-4

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  • DOI: https://doi.org/10.1007/s00033-015-0564-4

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