(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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. Relevant 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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Orbit radius of 2 collided satellites

**Physics Forums | Science Articles, Homework Help, Discussion**