Conditionally periodic solutions near the libration points of the restricted circular three-body problem |
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Authors: | L G Luk’yanov |
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Institution: | 1.Sternberg Astronomical Institute,Moscow,Russia |
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Abstract: | 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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Keywords: | |
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