Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Common misspelling of viral.
 n. Half of the product of the stress of attraction or repulsion with the distance between two particles.
from the GNU version of the Collaborative International Dictionary of English
 n. A certain function relating to a system of forces and their points of application,  first used by Clausius in the investigation of problems in molecular physics.
from The Century Dictionary and Cyclopedia
 n. The sum of the attractions between all the pairs of particles of a system, each multiplied by the distance between the pair.
Etymologies
Sorry, no etymologies found.
Examples

In 1933, the Swiss astrophysicist Fritz Zwicky, of the California Institute of Technology, applied the virial theorem to the Coma cluster of galaxies and, using this logic, obtained evidence for unseen mass [ref].
Experiments in NonRelativistic Modified Newtonian Dynamics (MOND)

Since the motion of many galaxies appears to be fairly uniform, the virial theorem (an offshoot of Newtonian mechanics) can be applied, telling us that the total kinetic energy of the galaxies should be half of the total gravitational binding energy (U).
Experiments in NonRelativistic Modified Newtonian Dynamics (MOND)

It may have a sort of virial theorem result to it.

Maybe some virial process where some dark matter was removed further out by gaining energy, say maybe making a galactic halo, while the stuff which loses energy to the outward moving DM implodes inwards.

The idea of the dark star seems to only make sense as something which results from a virial theorem.

I was particularly amused by his application of the virial theorem...

Miskolczi claims a virial relationship between the IR emission from the surface, Su and the IR emission from the top of the atmosphere Eu.

Rather he seems to have done some simulations relevant for Earth's atmosphere, noticed that this relationship roughly held, and then claimed this analogy to the virial relationship that has no actual basis in physics.

This gets picked up several places, including Daily Tech from which it wends it way to the Drudge Report and goes virial.

OK the use of Kirchhoff may be wrong, not sure about virial or that pesky Eq 7, but can anyone prove this is wrong, or that?
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