Other
Scientific paper
Dec 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979aifo.reptr....b&link_type=abstract
M.S. Thesis Air Force Inst. of Tech., Wright-Patterson AFB, OH. School of Engineering.
Other
Four Body Problem, Orbit Calculation, Orbital Elements, Orbits, Equations Of Motion, Mathematical Models, Orbital Mechanics, Satellite Orbits
Scientific paper
All previously discovered stable periodic orbits about the triangular libration points are tested on a planar restricted four-body truth model. The truth model is an algorithm developed from equations used by T. A. Heppenheimer for colony location used perturbation theory and the equation of the center. Only one of the orbits, developed by Wheeler using a very restricted four-body problem with Sun - Moon - Earth circular motion, is found to be relatively stable for at least twenty years. It is prograde about L4 having a period in resonance with the lunar synodic month. Two other orbits, one similar to Wheeler's and one 180 degrees out of phase found by Kolenkiewicz and Carpenter are marginally stable.
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