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## Homework Statement

Convert the effective potential to a dimensionless function by scaling to the radius of a circular orbit.

## Homework Equations

[itex]U_{eff}(r) = - \frac{k}{r}+ \frac{L^2}{2mr^2}[/itex]

[itex]\frac{U_{eff}}{U_0} = -\frac{2}{r / r_0} + \frac {1}{(r/r_0)^2}[/itex]

[itex]r_0= \frac{L^2}{mk}[/itex], [itex]U_0= \frac{k}{2r_0}[/itex]

## The Attempt at a Solution

I would love to try solving this, but unfortunately I can't decipher what the question actually is. What does "scaling to the radius of a circular orbit" mean, in this case?