Central Configurations in the Five-Body Problem: Rhombus Plus One - Qualitative Theory of Dynamical Systems

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ID: 268419
2021
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Abstract
We show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically their existence when one diagonal is nearly equal to the sides of the rhombus and when the two diagonals are either equal or nearly equal. In addition, we prove that given a rhombus plus one configuration, the corresponding vector of positive masses that makes the configuration central, if exists, is unique.
Reference Key
cornelio2021qualitativecentral Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors J. Lino Cornelio;Martha Alvarez-Ramírez;Josep M. Cors;J. Lino Cornelio;Martha Alvarez-Ramírez;Josep M. Cors;
Journal qualitative theory of dynamical systems
Year 2021
DOI
doi:10.1007/s12346-021-00486-6
URL
https://link.springer.com/article/10.1007/s12346-021-00486-6
Keywords
mathematics general dynamical systems and ergodic theory difference and functional equations

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