Physics
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990aifo.reptr....b&link_type=abstract
M.S. Thesis Air Force Inst. of Tech., Wright-Patterson AFB, OH. School of Engineering.
Physics
Deimos, Eccentricity, Orbit Perturbation, Orbits, Phobos, Satellite Configurations, Angular Velocity, Dynamic Stability, Hamiltonian Functions, Moon, Numerical Integration, Sun
Scientific paper
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, and 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 initial value of the Hamiltonian based on matching the angular rates of the orbit and moon with respect to Mars. Apoapsis and periapsis points of the orbits were plotted in the two-dimensional configuration space. Stable orbits were found when the points formed regions which are bounded; chaotic orbits were indicated by random points.
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