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The Influence of Supplementary Conditions for Papapetrou Equations on the Lyapunov Stability of Motion
Author(s) -
Bakhan'kov A. A.,
Ryabushko A. P.
Publication year - 1989
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19895010808
Subject(s) - lyapunov function , motion (physics) , spinning , stability (learning theory) , physics , equations of motion , classical mechanics , field (mathematics) , circular motion , lyapunov stability , lyapunov equation , mathematical analysis , mathematical physics , mathematics , computer science , pure mathematics , quantum mechanics , engineering , nonlinear system , mechanical engineering , machine learning
The Lyapunov stability of circular motions of spinning test bodies in the Schwarzschild field has been considered. For Papapetrou equations the generalized supplementary conditions S 0i u 0 = kS ij u j = k const, i, j = 1, 2, 3, have been chosen. Four of the first integrals of motion have been indicated. With the aid of Lyapunov functions the domains of stable motions have been found.