Physics
Scientific paper
Feb 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15...41k&link_type=abstract
Celestial Mechanics, vol. 15, Feb. 1977, p. 41-51.
Physics
Gyroscopic Stability, Jet Control, Liapunov Functions, Librational Motion, Position Errors, Three Body Problem, Acceleration (Physics), Earth-Moon System, Equations Of Motion, Feedback Control, Motion Stability, Secular Variations
Scientific paper
A method employing no automatic feedback control is proposed for stabilizing the collinear libration points of the circular restricted three-body problem. It is supposed that a point mass is under the action of a continuous jet acceleration of constant magnitude in the direction of one of the primaries or parallel to the line joining them. Three corresponding stabilization laws are formulated and studied in the light of Liapunov stability theory. It is found that under none of the stabilization laws can the libration points be made secularly stable. Gyroscopic stabilization of both external libration points is possible if the jet acceleration is either parallel to the line joining the primaries or directed at the more distant primary. Gyroscopic stabilization of the internal libration point is not possible by any of the stabilization laws considered.
Krasilnikov P. S.
Kunitsyn A. L.
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