Research on the Law of the Lunar Orbit Relay Satellite Tracking the User Satellite

The successful accomplishment of the Moon exploration project will not be achieved without the support of the lunar orbit relay satellite, and while the law of the lunar orbit relay satellite tracking the user satellite is an important researching aspect. In this paper, a mathematical model based on law of the lunar orbit relay satellite tracking the user satellite is established firstly, and then the tracking law is deduced from four aspects, namely the space location of the satellite, the transformation from selenocentric equatorial coordinate system to satellite orbital coordinate system, the transformation from satellite orbital coordinate system to satellite body coordinate system, and the calculation of the azimuth angle and the pitch angle of the lunar relay satellite´s antenna that points to user satellite. On the basis of this, a visible judgment criterion of the lunar orbit relay satellite and the user satellite is proposed. Finally, a program is written based on the MATLAB, the validity of the tracking law is verified and visual simulation curve is obtained by inputting the parameters in the GUI.