Lane–Emden equation
id:
lane-emden-equation-173-779584
title:
Lane–Emden equation
text:
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 ξ is a dimensionless radius and θ is related to the density, and thus the pressure, by ρ = ρ c θ n for central density ρ c. The index n is the polytropic index that appears in the polytropic equation of state,
brand slug:
wiki
category slug:
encyclopedia
description:
Dimensionless astrophysics equation
original url:
https://en.wikipedia.org/wiki/Lane%E2%80%93Emden_equation
date created:
2003-10-16T01:45:16Z
date modified:
2024-09-02T00:15:25Z
main entity:
{"identifier":"Q1804812","url":"https://www.wikidata.org/entity/Q1804812"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/77/FinitePolytropes.svg","width":533,"height":533}
fields total:
13
integrity:
16