19 citations · 30 across the 2 of their papers we have counts for
3 papers
Classifying Four-Body Convex Central Configurations
Montserrat Corbera, Josep M. Cors, Gareth E. Roberts
We classify the full set of convex central configurations in the Newtonian four-body problem. Particular attention is given to configurations possessing some type of symmetry or de…
Trapezoid central configurations
Montserrat Corbera, Josep M. Cors, Jaume Llibre +1
We classify all planar four-body central configurations where two pairs of the bodies are on parallel lines. Using Cartesian coordinates, we show that the set of four-body trapezoi…
A Four-Body Convex Central Configuration with Perpendicular Diagonals Is Necessarily a Kite
Montserrat Corbera, Josep M. Cors, Gareth E. Roberts
We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, inc…