Fuel-Optimal Design of Moon-Earth Trajectories Using Legendre Pseudospectral Method

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Authors
Park, Chandeok
Gong, QI
Ross, I. Michael
Sekhavat, Pooya
Subjects
distributed space system
Advisors
Date of Issue
2008-08-18
Date
August 18-21, 2008
Publisher
The American Institute of Aeronautics and Astronautics (AIAA)
Language
Abstract
A fuel-optimal trans-Earth trajectory design for manned lunar missions is presented. The gravitational effects of the Moon, Earth, and Sun constitute a 4-body problem. Imposing maximum thrust, fuel budget, and flight time as design constraints, we formulate a nonlinear constrained fuel-optimal control problem to obtain an optimal trajectory from a low lunar parking orbit to an Earth interface condition. The resulting optimal control problem is solved using Legendre Pseudospectral method. An anti-aliasing method based on Bellman's principle of optimality is employed to test and improve the accuracy of the solution. All results are developed and obtained using the software package DIDO.
Type
Conference Paper
Description
The article of record as published may be located at http://dx.doi.org/10.2514/6.2008-7074
AIAA/AAS Astrodynamics Specialist Conference and Exhibit ; Paper no. AIAA-2008-7074, Honolulu, Hawaii, 2008
Series/Report No
Department
Organization
Mechanical and Aerospace Engineering (MAE)
Graduate School of Engineering and Applied Science (GSEAS)
Naval Postgraduate School (U.S.)
American Institute of Aeronautics and Astronautics (AIAA)
American Astronomical Society (AAS)
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Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.