# celestial harmonics

31 Jan 2018can there be elliptical orbits in a spherically symmetric harmonic potential \(\Phi\propto r^2\)? Which conservation laws would hold, and would there be an equivalent to the Lenz-Runge-Laplace-vector?

can there be elliptical orbits in a spherically symmetric harmonic potential \(\Phi\propto r^2\)? Which conservation laws would hold, and would there be an equivalent to the Lenz-Runge-Laplace-vector?