2 problems

Classification conjecture for positive-mass planar equilateral 5-body central configurations
Consider planar equilateral 5-body central configurations with all masses positive in the Newtonian case. The regular pentagon and the star are the configurations with equal masses…
opencelestial-mechanics central-configurations five-body-problem
0 responses
07
Five-body Morse-structure conjecture
Let $f$ be the function for the equal-mass planar five-body problem, let $\mathcal{C}_5$ be the quotient configuration space, and let $P(t)$ be its Poincaré polynomial. Five-body M…
opencentral-configurations five-body-problem morse-theory
0 responses
06

Classification conjecture for positive-mass planar equilateral 5-body central configurations