The proximity operation mission of multi-satellite flying around and approaching to adsorb a rotating target is established. Considering the sizes and shapes of the rotating target， the flying-around observation， and approaching satellites， also based on the relative orbit and relative attitude dynamics model of satellites， the expected trajectories and attitudes of each observation satellite and approaching satellite are analyzed and designed，which are suitable for fast flying-around and approaching adsorption in any direction of space. The expected attitude of an obseravtion satellite is designed so that its observation device always points to the target， and the expected attitude of the approaching satellite is designed to be the same with the state of the absorbing point. Considering collision avoidance， a proportional-differential control law is proposed based on error quaternion and error angular velocity feedback， and a proximity safety guidance control method based on artificial potential field method is also derived. The relative attitude and relative orbit are controlled by combination of the above two control methods. The proposed method is tested by the proximity operation problem of 3-satellite observation and 2-satellite approaching. The simulation results show that all the three observation satellites can successfully avoid the collision with other satellites and operate along the desired orbit， and the two approaching satellites can safely approach and adsorb to the pre-set position of the target surface at the same time. The actual attitude of observation satellite and approaching satellite can converge quickly to the expected value and keep the observation equipment pointing to the rotating target all the time， which confirms the effectiveness of the proposed control method.