  Two planar supersymmetric quantum mechanical systems built around the quantum
integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The
supersymmetric spectra of both systems are unveiled, profiting from symmetry
operators not related to invariance with respect to rotations. It is shown
analytically how the first problem arises at the limit of zero distance between
the centers of the second problem. It appears that the supersymmetric modified
Euler/Coulomb problem is a quasi-isospectral deformation of the supersymmetric
Kepler/Coulomb problem.
