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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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