Stable orbits about the Martian moons

Details Stable orbits about the Martian moons Stable orbits about the Martian moons

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989aifo.reptq....j&link_type=abstract

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

Physics

Deimos, Many Body Problem, Mars (Planet), Orbits, Phobos, Constraints, Dynamic Stability, Hamiltonian Functions, Numerical Integration

Scientific paper

Orbits about the Martian moons, Phobos and Deimos, were investigated using the Poincare' surface of section technique. Hamilton's canonical equations were derived to describe the dynamics of the modified restricted three-body problem (Mars, moon, artificial satellite). The surface of section technique involved the numerical integration of several test orbits with the same value for the Hamiltonian. Apoapsis and periapsis points of the orbits are plotted in the two-dimensional configuration space. Stable orbits were discovered when the points formed sets of closed curves; chaotic orbits were indicated by the scattering of the points.

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