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Full-Text Articles in The Sun and the Solar System
Analysis Of Periodic Orbits About The Martian Moons By Continuation Techniques, Frank Luria
Analysis Of Periodic Orbits About The Martian Moons By Continuation Techniques, Frank Luria
Theses and Dissertations
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.
Realistic Orbits About The Martian Moons, Samuel R. Bryant
Realistic Orbits About The Martian Moons, Samuel R. Bryant
Theses and Dissertations
Orbits about the Martian moons, Phobos and Deimos, previously found to be stable by the Poincare surface of section technique in a restricted three- body system, were investigated with non-zero eccentricity of the moons added to the dynamics of the planar four-body system (Mars, moon sun, artificial satellite). Although not strictly applicable to this case, the surface of section technique was used to verify whether or not the previously found stable orbits were realistic when a real world perturbation was added to the system dynamics. The surface of section technique involves the numerical integration of several orbits with the same …