Mathematics – Logic
Scientific paper
Sep 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jansc..38..269h&link_type=abstract
Journal of the Astronautical Sciences (ISSN 0021-9142), vol. 38, July-Sept. 1990, p. 269-288. Research supported by Computer Sci
Mathematics
Logic
Librational Motion, Lissajous Figures, Solar Orbits, Spacecraft Trajectories, Three Body Problem, Eccentric Orbits, Elliptical Orbits, Technological Forecasting
Scientific paper
Three-dimensional orbits in the restricted three-body problem have been the subject of a number of recent studies. One type of three-dimensional, quasi-periodic orbit that emanates from the general vicinity of the collinear libration points is known as a 'Lissajous' trajectory. Future mission plans include trajectories near the interior libration point. (L1) in the sun-earth system and may consider Lissajous orbits as part of the trajectory design. Such orbits may be constrained, however, to remain beyond the region of the solar disk as viewed from earth. This effort involves the numerical determination of Lissajous trajectories of arbitrary, but predetermined, length that never violate such a constraint as a result of maneuvers directed, in general, perpendicular to the ecliptic plane.
Howell Kathleen C.
Pernicka Henry John
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