Rocket Powered Flight as a Perturbation to the Two-Body Problem.

Author

Clayton Jeremiah Clark, East Tennessee State University

Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2005

Committee Chair or Co-Chairs

Jeff R. Knisley

Committee Members

Robert B. Gardner, Lyndell Kerley

Abstract

The two body problem and the rocket equation r̈ + ∊ α ṙ + k/r³r = 0 have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the intractability of the resulting non-linear, non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.

Document Type

Thesis - unrestricted

Recommended Citation

Clark, Clayton Jeremiah, "Rocket Powered Flight as a Perturbation to the Two-Body Problem." (2005). Electronic Theses and Dissertations. Paper 1045. https://dc.etsu.edu/etd/1045

Copyright

Copyright by the authors.