Newtonian & Schwarzschild Effective Potentials

Effective potentials for Newtonian mass, for scaled angular momentum H = 3, 3.46, 4, 5.

 

Effective potentials for Schwartzschild mass, with same scaled angular momenta. In these figures, we've set rg = 1. The critical Schwarzschild case with no minimum is for H = 3.46 (H2 = 12).