Physics
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..173f&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 32, Feb. 1984, p. 173-183.
Physics
3
Celestial Bodies, Equations Of Motion, Jacobi Integral, Nonconservative Forces, Orbit Perturbation, Virial Theorem, Differential Equations, Kepler Laws, Kinetic Energy, Nonlinearity, Nonstabilized Oscillation, Self Excitation
Scientific paper
The introduction of friction into the equations of motion of the mass points consituting the given celestial system allows a generalized Jacobi's equation to be derived. In the course of a change of variables for a particular friction force law, the use of a nonlinear time scale yields the exact solution of the equation of the virial oscillations of celestial bodies written for nonconservative systems. It is suggested that the nature of the undamped virial oscillations of celestial bodies is related to the system instability near the state determined by the virial theorem. The friction force accordingly changes sign near the unstable equilibrium state, and the undamped virial oscillations can be described in terms of self-excited oscillations due to energy dissipation during system evolution.
Denisik S. A.
Ferronskii S. V.
Ferronsky V. I.
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