Solving The Optimization Control Problem For Lunar Soft Landing Using Minimization Technique

Author

Lizeth Patricia Ocampo

Graduation Semester and Year

2013

Language

English

Document Type

Thesis

Degree Name

Master of Science in Mathematics

Department

Mathematics

First Advisor

Benito Chen-Charpentier

Abstract

Minimizing fuel consumption in lunar missions has been a well studied and documented optimization problem. In this paper two cases of the lunar Lander are studied. The first case is the one dimensional problem where the objective is to make a vertical soft landing using the minimum amount of fuel. The second case has the same objective but an initial tangential velocity greater than zero is given making it a two dimensional problem. The first case is solved using Newton's shooting method, finite difference method (using MATLAB's embedded function bvp4c), and solving it explicitly. For the second case, a minimization technique is proposed for cases where the above methods fail to provide a solution.

Disciplines

Mathematics | Physical Sciences and Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Comments

Degree granted by The University of Texas at Arlington

Recommended Citation

Ocampo, Lizeth Patricia, "Solving The Optimization Control Problem For Lunar Soft Landing Using Minimization Technique" (2013). Mathematics Theses. 13.
https://mavmatrix.uta.edu/math_theses/13