Modified shape based method for three dimensional trajectory design

CHENG Xing, SHI Xiaoª²ning, CUI Naiª²gang

Dept. Astronautical Engineering, Harbin Institute of Technology, Harbin 150001,China



Abstract:

Although the shape based method has been proven to be useful for low thrust trajectory design, and be capable to provide near optimal solution for a more accurate trajectory optimization method, it is slightly non effective when used in some 3D cases. In this paper, a modified 3D shape based method is proposed for earth trajectory design. In this approach, in consideration of the sinusoidal periodic variation in z direction of actual trajectory, a new exponential sinusoid model is chosen for the out of plane motion, with four coefficients such that four scalar out of plane boundary conditions can be satisfied. After deriving the 3D shape based procedure, low thrust trajectory design example with modest inclination change is given. The results demonstrate that this modified approach is feasible for the transfer trajectory design, and comparing to the former shape based method, the z direction solution is more coincident with the actual situation, furthermore, the solution may be used for further mission planning, trajectory evaluation and optimization.ª¤

Key words:  modified shape based  three dimensional  low thrust  trajectory design

DOI£º10.11916/j.issn.1005-9113.2012.02.001

Clc Number:V412

Fund: