Periodic three-body orbits with vanishing angular momentum in the Jacobi-Poincare "strong" potential

V Dmitrašinović, Luka V Petrović, Milovan Šuvakov

Moore and Montgomery have argued that planar periodic orbits of three bodies moving in the Jacobi-Poincare, or the "strong" pairwise potential ${\sum }_{i>j}\frac{-1}{r_{ij}^2}$, can…