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Jeans (1902)
tackled gravitational instability in
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a static
medium, dR/dt = 0 in eq. 11.24 we can
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get the
dispersion relation for waves of the
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form ∆=∆0
exp i (k∙r – ωt):
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This relation
describes oscillations or instability depending on the
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sign of the
right hand side. If positive,
oscillatory as pressure
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gradient
supports the region for wavelengths less than the critical
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Jean’s
wavelength:
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