- #1

- 7

- 0

## Homework Statement

Two satellites have mistakenly been put in identical Earth orbits of radius R. Satellite A with mass "m" is orbiting clockwise while satellite B with mass "2m" is orbiting counterclocwise. The two satellites have a head on collision and move as one body after the collision.

**In terms on the given quantities**, what orbit radius would the collided objects have to possess in order to move in a circular path?

**2. Homework Equations /Attempt**

I believe that since the satellites are orbiting at the same radius, the are orbiting at the same speed so

Va = - Vb

I can get a quarter of it but I'm not even sure if it's right:

(3m)(vf)²/(Rf) = ?

using the collision formula to get vf

mVa + 2mVb = 3m Vf

Vf = (Va - 2Vb)/3

so (3m)[(Va - Vb)/3]/Rf = ?

I'm very stuck. Help!