Conservation of momentum astronauts question

[cali_sk8er205]

Suppose there are three astronauts outside their spaceship and that two of them decide to play catch with the third. This means the first two astronauts are attempting to throw the third back and forth. All astronauts weigh the same on Earth and are equally strong. The first throws the second and the game begins. Describe the motion of the astronauts as the game proceeds. How long will the game last (i.e. how many throws) ?

 

[Rake-MC]

It would help to show what you've tried so far,

We know that momentum is conserved (mass * velocity) within a system. Initially I assume that none of the astronauts are moving. What does this tell you about the motion of the astronauts after the first throw?

 

[heth]

It would help to show what you've tried so far

https://www.physicsforums.com/showthread.php?t=268214

(Reposting the same question without showing any work, having been asked to show some work, by the looks of it.)