An analytic approximation to the isothermal sphere
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🌌 astro-ph
keywords
analyticapproximationcore-radiiisothermalsphereaccuratedensityequation
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We present a useful analytic approximation to the solution of the Lane-Emden equation for infinite polytropic index - the isothermal sphere. The optimized expression obtained for the density profile can be accurate to within 0.04% within 5 core-radii and to 0.1% within 10 core-radii.
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