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- W2000188198 abstract "Abstract The Jacobi equations of variation have been derived for a class of periodic orbits in the restricted three-body problem which has been previously considered by this author. Limiting oneself to the second power of a parameter related to the initial conditions and to the orbit's period, it has been proved that the normal, isoenergetic displacement of a periodic orbit satisfies a Mathieu equation. A recurrent algorithm has been devised to determine solutions of the Mathieu equation and their associated characteristic exponents. It has been ascertained that with varying values of the period the stability curve is an arc of parabola bounded by two integral characteristic curves." @default.
- W2000188198 created "2016-06-24" @default.
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- W2000188198 date "1967-01-01" @default.
- W2000188198 modified "2023-09-25" @default.
- W2000188198 title "Stability of a class of periodic orbits in the restricted three-body problem" @default.
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- W2000188198 doi "https://doi.org/10.1016/0019-1035(67)90053-x" @default.
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