Central Configurations with Unequal Masses: Finiteness in Several Exceptional Cases of Five Bodies
Abstract
We provide a computer-assisted proof of the exact count of classes of central configurations for five bodies for several sets of mass values that are exceptional from the point of view of the finiteness results of Albouy and Kaloshin in the planar case and of Hampton and Jensen in the spatial case.
Fields of Study & Subjects
Point processes and geometric inequalities
Limits and Structures in Graph Theory
Morphological variations and asymmetry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 January 2026
- Document type
- Preprint