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Jeans' length is the critical radius of a cloud (typically a cloud of interstellar molecular gas and dust) where thermal energy, which causes the cloud to expand, is counteracted by gravity, which causes the cloud to collapse.
Sir James Hopwood Jeans OM FRS [1] (11 September 1877 – 16 September 1946 [2]) was an English physicist, mathematician and an astronomer.He served as a secretary of the Royal Society from 1919 to 1929, and was the president of the Royal Astronomical Society from 1925 to 1927, and won its Gold Medal.
Jeans Equation simulations place limits on the size of this halo. An example of such an analysis is given by the constraints that can be placed on the dark matter halo within the Milky Way. Using Sloan Digital Sky Survey measurements of our Galaxy, researchers were able to simulate the dark matter halo distribution using Jeans equations. [8]
Comparison of Rayleigh–Jeans law with Wien approximation and Planck's law, for a body of 5800 K temperature.. In physics, the Rayleigh–Jeans law is an approximation to the spectral radiance of electromagnetic radiation as a function of wavelength from a black body at a given temperature through classical arguments.
In the Jeans case, the stability criterion is size dependent, resulting in the concept of a Jeans length and Jeans mass. The Toomre analysis , first studied by Viktor Safronov in the 1960s, [ 2 ] considers not only gravity and pressure, but also shear forces from differential rotation.
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