11 citations · 18 across the 3 of their papers we have counts for
3 papers
Relative equilibria for the positive curved body problem
Ernesto Pérez-Chavela, Juan Manuel Sánchez Cerritos
We consider the body problem defined on surfaces of constant positive curvature. For the 5 and 7 body problem in a collinear symmetric configuration we obtain initial positions…
On the non-existence of hyperbolic polygonal relative equilibria for the negative curved --body problem with equal masses
Ernesto Perez-Chavela, Juan Manuel Sanchez-Cerritos
We consider the --body problem defined on surfaces of constant negative curvature. For the case of --equal masses we prove that the hyperbolic relative equilibria with a regu…
Stability of fixed points and associated relative equilibria of the -body problem on and
Florin Diacu, Juan Manuel Sánchez-Cerritos, Shuqiang Zhu
We prove that the fixed points of the curved 3-body problem and their associated relative equilibria are Lyapunov stable if the solutions are restricted to , but unsta…