In mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy of a stable system of discrete...

that in rotational motion. The equipartition theorem makes quantitative predictions. Like the virial theorem, it gives the total average kinetic and potential...

In astrophysics, the virial mass is the mass of a gravitationally bound astrophysical system, assuming the virial theorem applies. In the context of galaxy...

mechanics, virial stress is a measure of stress on an atomic scale for homogeneous systems. The name is derived from Latin vis 'force': "Virial is then derived...

eigenenergy. It is demonstrated in Brack (1983) that application of the virial theorem to the eigenfunction equation produces the following formula for the...

working at Caltech and made a similar inference. Zwicky applied the virial theorem to the Coma Cluster and obtained evidence of unseen mass he called dunkle...

1865 he introduced the concept of entropy. In 1870 he introduced the virial theorem, which applied to heat. The initial application of thermodynamics to...

1921 paper applying the virial theorem to spherical star clusters and Fritz Zwicky's 1933 paper applying the virial theorem specifically to the Coma...

The virial expansion is a model of thermodynamic equations of state. It expresses the pressure P of a gas in local equilibrium as a power series of the...

energy of the electron. This is also true for noncircular orbits by the virial theorem. A quantum rule The angular momentum L = mevr is an integer multiple...

1865 he introduced the concept of entropy. In 1870 he introduced the virial theorem, which applied to heat. Clausius was born in Köslin (now Koszalin, Poland)...

by S.I. Pokhozhaev and is similar to the virial theorem. This relation is also known as G.H. Derrick's theorem. Similar identities can be derived for other...

(physics) Virial theorem (classical mechanics) Betti's theorem (physics) Castigliano's first and second theorems (structural analysis) Clapeyron's theorem (physics)...

heat capacity can result in a negative temperature. According to the virial theorem, for a self-gravitating body like a star or an interstellar gas cloud...

structural features of liquid. It underlies the modern astrophysics and virial theorem. In solid state physics, statistical physics aids the study of liquid...

counteracting such that the chemical potential remains unchanged. The virial theorem demonstrates that attraction between the molecules (water and solute)...

and observational astronomy. In 1933, Zwicky was the first to use the virial theorem to postulate the existence of unseen dark matter, describing it as "dunkle...

(sometimes spelled as Pohozaev's identity). This result is similar to the virial theorem. We may write the equation ∂ t 2 u = ∇ 2 u − 1 2 f ′ ( u ) {\displaystyle...

can be calculated numerically as U = 2.49×1032 J. According to the virial theorem, the gravitational binding energy of a star is about two times its internal...

total potential energy, ⟨T⟩ = ⁠1/2⁠⟨U⟩, which is an example of the virial theorem for gravitational systems. If M is the total mass and R a characteristic...

internal gravitational force. Mathematically this is expressed using the virial theorem, which states that to maintain equilibrium, the gravitational potential...

internal gravitational force. Mathematically this is expressed using the virial theorem, which states that, to maintain equilibrium, the gravitational potential...

energy, the satisfaction of an electronic virial theorem analogous to the molecular electronic virial theorem, and some interesting variational properties...

In astrophysics, the Chandrasekhar virial equations are a hierarchy of moment equations of the Euler equations, developed by the Indian American astrophysicist...

layer theory Talbot effect Thermoacoustics Thermoacoustic heat engine Virial theorem Waveguide (acoustics) Waveguide (radio frequency) WKB approximation...

friction loading Tensile strength Thermal stress Virial stress Yield (engineering) Yield surface Virial theorem "12.3 Stress, Strain, and Elastic Modulus -...

Weightlessness Lagrangian point N-body problem Kolmogorov-Arnold-Moser theorem Virial theorem Gravitational binding energy Speed of gravity Newtonian limit Hill...

Unlike most other books on mechanics, this one elaborates upon the virial theorem. The discussion of canonical and contact transformations, the Hamilton-Jacobi...

centre, releasing gravitational potential energy. According to the virial theorem, half of this released gravitational energy goes into heating, which...

2017. Tadokoro, M. (1968), "A Study of the Local Group by Use of the Virial Theorem", Publications of the Astronomical Society of Japan, 20: 230, Bibcode:1968PASJ...