Analysis of periodic orbits about the Martian moons by continuation techniques

Details Analysis of periodic orbits about the Martian moons by continuation techniques Analysis of periodic orbits about the Martian moons by continuation techniques

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990aifo.reptq....l&link_type=abstract

M.S. Thesis Air Force Inst. of Tech., Wright-Patterson AFB, OH. School of Engineering.

Mathematics

Continuity (Mathematics), Floquet Theorem, Mars (Planet), Moon, Orbital Mechanics, Energy Dissipation, Hamiltonian Functions

Scientific paper

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.

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