Analytical Solution to relative dynamic of gravity tractors in Formation Flying in Asteroid Deflection Mission

In this paper, an analytical solution to deflection mission of asteroid as potentially hazardous spatial mass that threat humanity in future is investigated . The mission of deflecting potentially hazardous asteroids in recently years with possibility of their collision with Earth and the priority to carry out the mission of mitigate risk of these objects from its original space trajectory in recent years has been studied with interest in scientific research. Different methods have been proposed for execute the deflecting these celestial objects, among which the use of gravity tractor technology has become more widely used. In addition, the increasing use of formation flying technology in space missions is increasingly increasing, which has led to the use of this technology in this survey.