Orbital Potential Energy to find r and phi in terms of t.

  • Thread starter 10Exahertz
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  • #1

Homework Statement


A particle in central force feild has the orbit r=cφ^2, c is a constant. Find the potential energy, Find r and phi in terms of t.
I get how to find the potential energy and found it to be U=-l^2/mu (2c/r^3+l/2r^2)
l is angular momentum and mu is the reduced mass
But how do I get r and phi in terms of t after this?

Homework Equations


From what my professor showed in class l=mu r^2 dφ/dt was important
he used that to integrate and get r^2(t)=lt/mu
I'm trying to use this method to get r and phi

Any help is much appreciated, thanks!
 

Answers and Replies

  • #2
34,677
10,818
I'm trying to use this method to get r and phi
Sounds good. Once you have dφ/dt, you can get dt/dφ and integrate.
 

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