Carter-like Constants of the Motion in Newtonian Gravity and Electrodynamics
Carter-like Constants of the Motion in Newtonian Gravity and Electrodynamics
For a test body orbiting an axisymmetric body in Newtonian gravitational theory with mass m and multiple moments Q_{l} (and for a charge in orbit about a charge distribution with the same multipole moments) we show that there exists, in addition to the energy and angular momentum component along the …