(Q1804812)

English

Lane–Emden equation

dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid

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instance of

second order differential equation

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ordinary differential equation

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{\frac {1}{\xi ^{2}}}{\frac {\mathrm {d} }{\mathrm {d} \xi }}\left(\xi ^{2}{\frac {\mathrm {d} \theta }{\mathrm {d} \xi }}\right)+\theta ^{n}=0

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in defining formula

\xi

symbol represents

radial coordinate

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maintained by WikiProject

WikiProject Mathematics

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schematic

FinitePolytropes.svg
533 × 533; 14 KB

media legend

solutions of Lane–Emden equation for 𝑛=0, 1, 2, 3, 4, 5 (English)

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Identifiers

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28 October 2013

Lane-EmdenDifferentialEquation

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imported from Wikimedia project

English Wikipedia

Microsoft Academic ID

2781080967

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Namuwiki ID

레인-엠든 방정식

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(Q1804812)

Lane–Emden equation

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