- #1

OONeo01

- 18

- 0

## Homework Statement

A planet orbits a massive star in a highly elliptical orbit, i.e, the total orbital energy is close to Zero. The initial distance of closest approach is 'Ro'. Energy is dissipated through tidal motions until the orbit is circularized with a final radius of 'Rf'. Assume the orbital angular momentum is conserved during the circularization process, Then, what is the relation between Rf and Ro ?

## Homework Equations

1.) GMm/2Ro

2.) GMm/Rf

## The Attempt at a Solution

I tried subtracting the gravitational energy from the Energy of a circular orbit, to account for the dissipation, and then equated it to zero(since it was originally almost 0). I ended up with 'Rf=2Ro'

But I am not sure about my method. Felt like I have left a lot of loose ends. Also the Angular momentum conservation hint was never used. I believe I have reached the wrong answer(or at best, the right answer the wrong way.) Need help in solving this problem.

If anybody can help me set up the necessary equation(not jut the final answer), I would appreciate it.

Thank you in advance :-)