Computer Science – Numerical Analysis
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986asdy.confe..10h&link_type=abstract
AIAA and AAS, Astrodynamics Conference, Williamsburg, VA, Aug. 18-20, 1986. 11 p. Research supported by the Computer Sciences Co
Computer Science
Numerical Analysis
Libration, Lissajous Figures, Numerical Analysis, Target Acquisition, Three Body Problem, Trajectory Analysis, Circular Orbits, Earth-Moon System, Equations Of Motion, Iterative Solution, Revolving
Scientific paper
In previous studies, lissajous trajectories associated with the collinear libration points in the restricted three-body problem have been successfully computed analytically to at least third-order. Those approximations are utilized to determine such trajectories numerically for an arbitrary, predetermined number of revolutions in the rotating frame for the case of circular primary motion. The numerical approach first identifies target positions at specified intervals along the trajectory, and locates a continuous path through those points with velocity discontinuities. Then the velocity discontinuities are simultaneously reduced in an iterative process. Such trajectories have been constructed in various primary systems, for a wide range of orbit sizes and a large number of revolutions.
Howell Kathleen C.
Pernicka Henry John
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