Central Force (period of revolution and period of small radial oscillations)

[noramire]

1.
A particle of mass m and angular moment L moves in a central force V=(1/2)kr^2 (k>0).
Find the period of revolution for the circular movement and the period of small radial oscillations around the stable cicular orbit.

Homework Equations

The Attempt at a Solution

Well I tried using Langrange and then applied the conditions of a circular but I get lost. Any help would really help, especially if someone could help me distinguish the expressions for the two periods. Thanks.

 

[kuruman]

Hi noramire and welcome to PF. Please follow the rules of this forum and use the template when you seek help with homework. Show us in some detail what you have done so that we can help you by pointing out where you might have gone wrong.

 

[noramire]

Yeah sorry abour the noob mistake. I actually really didn't know where to get started, you know. But I think I got it now...Circular orbit implies radius at Potential Minimum, I think that is the key to finding the radius then using common expressions for period of rev and period of radial oscillation.

Thanks, and again sorry.