Application of Grey Approximation Ideal Solution Ranking Methods in Optimal Selection of Satellite Initial Orbits

Abstract

AbstractIn view of the multiple groups of satellite initial orbits determined by multiple data and orbit determination methods in the launch phase, how are a set of optimal orbits selected from these initial orbits? this paper uses the grey approximation ideal solution ranking methods to conduct in-depth theoretical analysis, and describes the basic idea and solving steps. For the normal and abnormal satellite orbits, the selection of ideal solutions is different, and has a great influence on the ranking of optimal solutions. In this paper, two optimization methods are given, which take the theoretical optimal solution and the weighted optimal solution as the ideal solution. After the ideal solution is selected, the grey correlation degree is selected as the measurement value between the real orbit and the ideal solution, so that the mathematical model of initial orbital elements optimization under different conditions is established, and the grey correlation degree is calculated and evaluated as the measurement value. This algorithm is applied in a normal typical sun-synchronous satellite, using the Spearman correlation coefficient to analyze the correlation between the two algorithms, which verifies the effectiveness and validity of the algorithm.KeywordsSpacecraftInitial orbitsGrey approximation ideal solution ranking methodOrbits optimization