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

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...

Chandrasekhar, S. (1989). Selected Papers, Vol 4, Plasma Physics, Hydrodynamic and Hydromagnetic stability, and applications of the Tensor-Virial theorem...

Emden–Chandrasekhar equation Chandrasekhar tensor Chandrasekhar virial equations Chandrasekhar's X- and Y-function Chandrasekhar's Variational Principle...

{\displaystyle \nabla ^{4}\chi =8\pi G\rho } . Virial theorem Chandrasekhar virial equations Chandrasekhar, S; Lebovitz NR (1962). "The Potentials and the...

Boltzmann equation, these moments are then related by various forms of continuity equations, of which most notable are the Jeans equations and Virial theorem...

bound to the mass of cold, non-rotating neutron stars, analogous to the Chandrasekhar limit for white dwarf stars. Stars more massive than the TOV limit collapse...

in astrophysics. As examples, the virial theorem may be used to estimate stellar temperatures or the Chandrasekhar limit on the mass of white dwarf stars...

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

doi:10.1103/PhysRevResearch.2.043102. Parker, E.N. (1954). "Tensor Virial Equations". Physical Review. 96 (6): 1686–1689. Bibcode:1954PhRv...96.1686P....

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

Earth 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...

processes 1870 – Clausius proves the scalar virial theorem 1872 – Ludwig Boltzmann states the Boltzmann equation for the temporal development of distribution...

Hydrodynamic and Hydromagnetic Stability, and Applications of the Tensor-Virial Theorem, 4, 85. Littlewood, J. E. (1962). Lorentz's pendulum problem (No...

atom and the energy mec2 equivalent to the mass of an electron. Using the virial theorem in the Bohr model of the atom U el = 2 U kin , {\displaystyle...

13 September 2024. ... derive the total potential of M31, estimating the virial mass and radius of the galaxy to be 0.8 ± 0.1 × 10^12 M⊙ and 240 ± 10 kpc...

1803–1882) Radha Gobinda Chandra (Bangladesh, India, 1878–1975) Subrahmanyan Chandrasekhar (India, United States, 1910–1995) Carl Charlier (Sweden, 1862–1934)...