A pair of astronaughts are 18 meters apart and they are rotatating about their center of mass with an initial rotational velocity of 10 rads/s(counter clockwise) The larger astronaut has a mass off 100kg and the smaller mass is only 80 kg.

m1w^2r1=m2w^2r2 then r2=(m1/m2)r1 r1+r2=18 (m1/m2)r1+r1=18 r1=18/[(m1/m2)+1] r1=18/[(100/80)+1]=8 m r2=18-r1=10 m the center of mass is 8 m from m1 [100 kg] and 10 m from m2 [80 kg]