On one atypical scheme of application of the second Lyapunov method
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.