2017
Том 69
№ 9

All Issues

On one atypical scheme of application of the second Lyapunov method

Sosnitskii S. P.

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Abstract

The second Lyapunov method is applied to the analysis of stability of triangular libration points in a three-dimensional restricted circular three-body problem. It is shown that the triangular libration points are unstable.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 11, pp 1830-1838.

Citation Example: Sosnitskii S. P. On one atypical scheme of application of the second Lyapunov method // Ukr. Mat. Zh. - 2009. - 61, № 11. - pp. 1557-1563.

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