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• W2073645519 startingPage "1703" @default.
• W2073645519 abstract "Using a scheme given by Lochak, we derive constructively a Nekhorochev-like result of stability in the planetary n-body problem. This allows us to give bounds on the variation of the semi-major axes of the planets over very long times. In this attempt, we first extend the theorems of stability over exponentially long times in the case of nearly integrable degenerate systems. Then, a refined study of the planetary Hamiltonian is needed to carry out the application. More specifically, we give accurate estimates of the complex analyticity widths for the considered Hamiltonian." @default.
• W2073645519 created "2016-06-24" @default.
• W2073645519 creator A5080666803 @default.
• W2073645519 date "1996-11-01" @default.
• W2073645519 modified "2023-10-16" @default.
• W2073645519 title "Stability over exponentially long times in the planetary problem" @default.
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• W2073645519 doi "https://doi.org/10.1088/0951-7715/9/6/017" @default.
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