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given by:

f(r) = -kr.

1. Find the effective potential Uer(r) for the relative motion of the two particles.

2. Sketch the effective potential below.

3. Show where bound orbits are possible.

4. Show where unbound orbits are possible, or explain why they are not possible.

5. Find the radius of circular orbits To.

6. Find the frequency of small oscillations around the minimum ro. How does this change

if L = 0?