If the Prince runs in the proper direction, he can take advantage of the asteroid's rotation to attain the circular orbit at the surface by running at a speed less than 1.80 m/s . What is the Prince's minimum ground speed for orbit if B-612 is rotating as assumed

The man of mass m1 and the woman of mass m2 are standing on opposite ends of the platform of mass m0 which moves with negligible friction and is initially at rest with s = 0. the man and woman begin to approach each other. derive an expression for the displacement s of the platform when the two meet in terms of the displacement x1 of the man relative to the platform.