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- Homework Statement
- Show that the motion of a particle in the field of potential:

$$V(r)=-\frac{k}{r}+\frac{h}{r^2},$$

is the same as the motion under the Kepler potential only when expressed as a function of a coordinate system in rotation or precession about the center of forces.

- Relevant Equations
- Orbit equation

I have tried to solve the problem through the use of a rotating reference frame, since I should have as a solution an orbit given by the Kepler potential, but I haven't come up with anything. Any ideas ?