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- Lane–Emden_equation abstract "In astrophysics, the Lane–Emden equation is a dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid. It is named after astrophysicists Jonathan Homer Lane and Robert Emden. The equation reads where is a dimensionless radius and is related to the density (and thus the pressure) by for central density . The index is the polytropic index that appears in the polytropic equation of state, where and are the pressure and density, respectively, and is a constant of proportionality. The standard boundary conditions are and . Solutions thus describe the run of pressure and density with radius and are known as polytropes of index .".
- Lane–Emden_equation thumbnail FinitePolytropes.svg?width=300.
- Lane–Emden_equation wikiPageID "341818".
- Lane–Emden_equation wikiPageRevisionID "598469272".
- Lane–Emden_equation title "Lane-Emden Differential Equation".
- Lane–Emden_equation urlname "Lane-EmdenDifferentialEquation".
- Lane–Emden_equation subject Category:Astrophysics.
- Lane–Emden_equation subject Category:Ordinary_differential_equations.
- Lane–Emden_equation comment "In astrophysics, the Lane–Emden equation is a dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid. It is named after astrophysicists Jonathan Homer Lane and Robert Emden. The equation reads where is a dimensionless radius and is related to the density (and thus the pressure) by for central density .".
- Lane–Emden_equation label "Equação de Lane-Emden".
- Lane–Emden_equation label "Lane-Emden-Gleichung".
- Lane–Emden_equation label "Lane-Emdenvergelijking".
- Lane–Emden_equation label "Lane–Emden equation".
- Lane–Emden_equation label "Équation de Lane-Emden".
- Lane–Emden_equation label "レーン＝エムデン方程式".
- Lane–Emden_equation label "莱恩－埃姆登方程".
- Lane–Emden_equation sameAs Lane%E2%80%93Emden_equation.
- Lane–Emden_equation sameAs Lane-Emden-Gleichung.
- Lane–Emden_equation sameAs Équation_de_Lane-Emden.
- Lane–Emden_equation sameAs レーン＝エムデン方程式.
- Lane–Emden_equation sameAs 레인-엠덴_방정식.
- Lane–Emden_equation sameAs Lane-Emdenvergelijking.
- Lane–Emden_equation sameAs Equação_de_Lane-Emden.
- Lane–Emden_equation sameAs Q1804812.
- Lane–Emden_equation sameAs Q1804812.
- Lane–Emden_equation wasDerivedFrom Lane–Emden_equation?oldid=598469272.
- Lane–Emden_equation depiction FinitePolytropes.svg.
