Preliminary Analysis of Optimal Round Trip Lunar Missions

17th Brazilian Colloquium on Orbital Dynamics

Filho, L. A. Gagg^1 ; Fernandes, S. Da Silva^1

Departamento de Matemática, Instituto Tecnológico de Aeronáutica, São José dos Campos, SP

12228-900, Brazil^1

关键词: Image trajectory;    Optimal solutions;    Optimization criteria;    Optimization problems;    Preliminary analysis;    Restoration algorithm;    Two degrees of freedom;    Velocity increments;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/641/1/012001/pdf
DOI  :  10.1088/1742-6596/641/1/012001

来源: IOP

【 摘 要 】

A study of optimal bi-impulsive trajectories of round trip lunar missions is presented in this paper. The optimization criterion is the total velocity increment. The dynamical model utilized to describe the motion of the space vehicle is a full lunar patched-conic approximation, which embraces the lunar patched-conic of the outgoing trip and the lunar patched-conic of the return mission. Each one of these parts is considered separately to solve an optimization problem of two degrees of freedom. The Sequential Gradient Restoration Algorithm (SGRA) is employed to achieve the optimal solutions, which show a good agreement with the ones provided by literature, and, proved to be consistent with the image trajectories theorem.