A simple method for generating libration point orbits based on parameter optimization

Abstract

In the framework of Circular Restricted Three-Body Problem (CR3BP), a method for generating libration point orbits (LPOs) based on optimization is proposed in this work according to the different features of typical LPOs. For the periodic orbit, by setting a target point, one can obtain the accurate initial state by using an optimization algorithm, which takes the closure degree of the orbit as objective function. For the quasi-periodic orbit, the method is to modify the spacecraft’s state to the stable manifold by taking the free propagation time in pre-defined region as the objective function. In principle, quasi-periodic orbits of an arbitrary time length can be generated with ease by this approach. Avoiding any analytical deduction, the method proposed in this paper is very simple in format and is of high efficiency to most kinds of LPOs. The application of this method will improve the design efficiency of deep space exploration.