(1)根据万有引力提供向心力G Mm r2 =m 4π2 T2 r,得r= 3 GMT2 4π2 所以 rA rB = 3 TA2 TB2 = 3 1 82 = 1 4 (2)根据r= 3 GMT2 4π2 ,得 vA vB = rA rB × TB TA = 1 4 × 8 1 = 2 1 答:(1)两卫星轨道半径之比为1:4;(2)两卫星运动速率之比为2:1.