Abstract: With a small satellite flying around the space station, the operation and exterior state of the space station can be monitored,and the times of the astronaut's extravehicular activity are reduced.This is a new concept about the applications of the small satellite. With low consumption,the small satellite can fly around for long time.Mainly,the stability of flying around orbit is discussed and the control stratagem of overcoming the perturbation is presented.Flying around for one month consumes only 3～4m/s velocity increment .