Analysis of Periodic Orbits About the Martian Moons by Continuation Techniques

Author

Frank Luria

Date of Award

12-1990

Document Type

Thesis

Degree Name

Master of Science in Astronautical Engineering

Department

Department of Aeronautics and Astronautics

Abstract

From a few known periodic orbits of Phobos and Deimos, continuation techniques were used to find entire families of stable orbits. These techniques involved varying a parameter, the Hamiltonian, of the system and analyzing how the orbital behavior changed with the parameter. Floquet multipliers, for stability analysis, were also computed. AUTO86, a continuation/bifurcation software package, was used in this study. Artificial energy dissipation had to be added to the conservative Hamiltonian system to enable use of AUTO.

AFIT Designator

AFIT-GA-ENY-90D-10

DTIC Accession Number

ADA231026

Comments

The author's Vita page is omitted.

Recommended Citation

Luria, Frank, "Analysis of Periodic Orbits About the Martian Moons by Continuation Techniques" (1990). Theses and Dissertations. 7904.
https://scholar.afit.edu/etd/7904