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The Jeans mass is named after the British physicist Sir James Jeans, who considered the process of gravitational collapse within a gaseous cloud. He was able to show that, under appropriate conditions, a cloud, or part of one, would become unstable and begin to collapse when it lacked sufficient gaseous pressure support to balance the force of gravity.
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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.
Helical kink instability (a.k.a. helical instability) Rayleigh–Taylor instability (RTI, a.k.a. gravitational instability) Rotating instability, [30] Tearing mode instability (or resistive tearing instability [31]) Two-stream instability (a.k.a. beam-plasma instability, counter-streaming instability) Beam acoustic instability; Bump-on-tail ...
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The square root of the ratio is about 6. I dislike the formula here as it makes Jeans Mass for Bernard 68, 10.117 solar masses and Cambridge's formula makes Jeans Mass 1.662 solar masses assuming it is all molecular hydrogen not just mostly. Anyway, it is advertised in Wikipedia as a collapsing cloud a star that will be born in 200,000 years.