2022/06/01 by Antonio Carlos Fernandes, Antônio Carlos Fernandes, Luis Fernando Mello +3
Mathematics · Engineering · #Advanced Differential Equations and Dynamical Systems #Spacecraft Dynamics and Control
paper · doi:10.1063/5.0057231
Central configurations of the n-body problem play an important role in the study of celestial mechanics. In this paper, we study six-body planar central configurations having certain symmetries. Special attention is given to the existence results of such configurations. With analytic proofs, we show the existence of a new central configuration, which is convex but not strictly convex, a non-symmetric concave case of central configuration, and some cases of stacked central configurations, which are central configurations with subsets of the bodies also forming central configurations.