Carter-like constants of motion in the Newtonian and relativistic two-center problems
Carter-like constants of motion in the Newtonian and relativistic two-center problems
In Newtonian gravity, a stationary axisymmetric system admits a third, Carter-like constant of motion if its mass multipole moments are related to each other in exactly the same manner as for the Kerr black-hole spacetime.The Newtonian source with this property consists of two point masses at rest a fixed distance …