An optimal method of satellite initial orbits selection based on grey relational analysis

Abstract

This paper presents a theoretical analysis in the optimal selection of satellite initial orbits in the orbit injection phase, and proposes a method to select the optimal group of initial orbits based on the grey relational analysis. Details are given to the data sources and the orbit determination theories. Besides, the design idea and the concrete steps in employing the method are presented. Considering the design features of the satellite initial orbit, the standard theory orbit is tactfully used as attribute based vector, and solved the problem that comparison data array building. A decision mathematical model based on the grey relational analysis is generated to solve the selection problem of optimal initial orbits. Eventually this paper takes a sun-synchronous satellite as an example to illustrate the application of the mathematical model. The model and the optimal selection method have proved valid and effective in practice.