Research On Transfer Trajectory Design Based On Three-body Model

Today more and more countries are vigorously developing aerospace industry,so the scientific community have focus their eyes on the space exploration.Designing of the spatial transfer trajectory is a key technology in the spaceexploration and a research area which need to be developed as the first priority andwith much efforts. People are paying more and more attention to the value of thethree-body libration points in the design of the transfer trajectory. In this thesis, thedesign method of the libration periodic orbits and the transfer trajectory based onthe libration points orbital dynamics.Firstly, the dynamical model of Circular Restricted Three-Body Problem(CRTBP) is established. Five Lagrange libration points are obtained and severalimportant concepts such as Jacobi integral, zero-velocity surface and state transitionmatrix are introduced by analyzing the dynamical equations.Then, stability analysis of the libration points and the study of the structure ofthe phase space near the libration points is conducted. Much efforts are spent on thestudies of the characteristics and design methods of the periodic orbits near thecollinear libration points. The Richardson three-order approximate solutions and theperiodic orbits differential correction algorithm are given. Taking the approximatesolutions as initial values, a precise initial condition of the halo orbit is gainedthrough a method of differential correction. The simulation results with MATLABare given.Furthermore, the stable and unstable invariant manifolds, which closely relatedto the periodic orbits were discussed and their calculate methods by using themonodromy matrix of the halo orbit are studied.Then, transfer trajectory designbaesd on three-body model is researched and the transfer trajectory design scenariois compared with one based on conventional patched conic method.