Vertical-critical periodic orbits in the general three-body problem (Q1270727)

The vertical-critical periodic orbits of the planar three-body problem are the orbits of marginal stability with respect to vertical perturbations. These orbits are bifurcation points of the three-dimensional families of periodic orbits and also define the interval of vertical stability on the families of planar periodic orbits. In this work families of vertical critical periodic orbits are evaluated numerically in the general three-body problem for several values of the mass of the third body and for the whole range of values of mass ratio of two primaries.