Space interception orbit optimization design based on hybrid optimal algorithm

Based on a hybrid algorithm combining genetic algorithm (GA) with improved Gauss method (IGM), a design method of space interception orbit was proposed for solving time-fuel-optimal trajectory planning problem of interceptor. First, classical Gauss method was improved by applying Newton-Raphson iteration, solving the problem of the classical Gauss method of slow convergence speed and small transfer angle. Then, a theorem on the necessary and sufficient condition for the existence of unique solution was proved. When the initial orbital parameters were given, this condition could be used to judge whether elliptical orbit could be introduced as the interception orbit. After that, constraints of transfer time and maximum pulse rate were given, as well as the calculation steps of hybrid optimal algorithm, and way of coding was improved. Finally taking optimization problem of space interception orbit as an example, simulation was carried out. Simulation result shows that the hybrid algorithm has fewer generations and shorter consuming time compared with conventional optimal algorithm, indicating the algorithm is applicable in determining interception orbit in space.