Virial theorem
The virial theorem is a feature of systems with central forces.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline{T}= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline{T}} is the kinetic energy. The overlines represent time averages. The right hand side is known as the virial of Clausius (Ref. 2).
References
- Section 3.4 of Classical Mechanics by Herbert Goldstein 2nd Edition (1980) Addison Wesley
- R. Clausius, " " Philosophical Magazine 40 pp. 122- (1870)