Consider that a large room(an indoor badminton court) is orbiting the earth with a person floating exactly at its center without any relative initial velocity. Consider that the person has no spacesuit(so he can freely breathe, see below.) and the room is pressurized. Can the person reach the edge of the room?
I'm thinking if he can breathe in from on side, turn his head, and blow out to another side, the conservation of momentum of the airparticles can impart a very small motion, enabling him to reach the edge. Also, can the same blown air reflected from the other edge help this process?
What (regular geometrical)shape of the room(keeping the total volume of the room same) would be best to enhance this process?
Is there an other efficient method?