Analytical Solution to Relative Motion Dynamics in Satellite Formation Flying Using Geostationary Orbit Sets

Satellite formation flying is one of the most recent research topics in space field owing to various operational projects. The first and the most important step in facing with this concept is studying and modeling of dynamics of the problem. In this paper, the relative dynamics of a satellite formation flying including the leader-follower satellites based on the concept of control for geostationary vehicles, has been examined. As a consequence, an analytical solution for determination of relative position and velocity of the formation in local horizontal coordinate system which is set on leader-follower satellites has been derived. Dynamics modeling of the problem is done based on parameters which are normally used for control of geostationary maneuvers like station keeping. The advantages of utilizing these parameters are non singularity of equations and having physical sensation to these parameters. The analytical solution has been resulted from two supposes: the relative orbit is semi circular and the leader-follower satellites are close to each other in the formation.