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

Clicks: 102
ID: 268419
2021
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.
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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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