Conditionally periodic solutions near the libration points of the restricted circular three-body problem

Details Conditionally periodic solutions near the libration points of the restricted circular three-body problem Conditionally periodic solutions near the libration points of the restricted circular three-body problem

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012astl...38..201l&link_type=abstract

Astronomy Letters, Volume 38, Issue 3, pp.201-211

Astronomy and Astrophysics

Astronomy

Celestial Mechanics

Scientific paper

Families of conditionally periodic solutions have been found by a slightly modified Lyapunov method of determining periodic solutions near the libration points of the restricted three-body problem. When the frequencies of free oscillations are commensurable, the solutions found are transformed into planar or spatial periodic solutions. The results are confirmed by numerically integrating the starting nonlinear differential equations of motion.

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