Adaptive genetic algorithm in rendezvous orbit design

The paper studies the method of designing the optimal rendezvous orbit in space which need the least fuel. Two-body motion model is established, Lambert problem is introduced as theoretical basis, then adaptive genetic algorithm is used. Through the result of using the basic genetic algorithm and a variety of improved genetic algorithms to calculate the optimal transfer time when consuming the least fuel, the abilities of the variety of genetic algorithms in solving the problem are analyzed. In order to improve the efficiency of the algorithm, a new improved genetic algorithm is proposed which has included the advantages of the adaptive genetic algorithm and the fitness function genetic algorithm, then through using the new method to solve the representative examples proves the feasibility of this method. Also through the relation between the engines' fuel consumption and the velocity's change, a method that can determine the argument value of the genetic algorithm is proposed. Finally, the transfer orbit was obtained by using Battin - Vaughan method to solve Lambert problem.