Virial oscillations of celestial bodies IV: The Lyapunov stability of motion

DOI10.1007/BF01229112zbMath0575.70005MaRDI QIDQ3694743

S. A. Denisik, S. V. Ferronskij, V. I. Ferronskij

Publication date: 1985

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionsSchwarzschild solutionJacobi's equationmany body problemChetaev's methodvirial oscillations

Mathematics Subject Classification ID

Exact solutions to problems in general relativity and gravitational theory (83C15) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Cites Work

• Unnamed Item
• The virial-based solution for the velocity of gaseous sphere gravitational contraction
• The solution for seasonal variations in the Earth's rate of rotation
• Virial oscillations of celestial bodies III. The solution of the evolutionary problem in non-newtonian time scale
• Virial oscillations of celestial bodies-I. The effect of electrostatic interactions
• Virial oscillations of celestial bodies
• The solution of Jacobi's virial equation for celestial bodies
• The solution of Jacobi's virial equation for nonconservative systems and analysis of its dependence on parameters
• The asymptotic limit of the form-factors ? and ? product for celestial bodies

This page was built for publication: Virial oscillations of celestial bodies IV: The Lyapunov stability of motion