Virial oscillations of celestial bodies

DOI10.1007/BF01228505zbMath0498.70021MaRDI QIDQ3964058

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

Publication date: 1982

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

zbMATH Keywords

variation of constantsPoincare's theoremscalar form of Jacobi's equationsuccessive functions in power series expansionvirial oscillation

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Celestial mechanics (70F15) Waves and radiation in optics and electromagnetic theory (78A40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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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 IV: The Lyapunov stability of motion

Cites Work

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• The virial-based solution for the velocity of gaseous sphere gravitational contraction
• Virial oscillations of celestial bodies-I. The effect of electrostatic interactions
• 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