Conjugated equilibrium solutions for the $2$--body problem in the two dimensional sphere ${\mathbb{M}}_R^2$ for equal masses

Pedro P. Ortega Palencia, Guadalupe Reyes Victoria

We study here the behaviour of solutions for conjugated (antipodal) points in the $2$-body problem on the two-dimensional sphere ${\mathbb{M}}_R^2$. We use a slight modification of t…