Lane–Emden equation

dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid
Thing second_order_differential_equation Q1804812
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Lane–Emden equation

Summary

Lane–Emden equation is a second order differential equation[1]. It draws 138 Wikipedia views per month (second_order_differential_equation category, ranking #2 of 2).[2]

Key Facts

  • Lane–Emden equation's instance of is recorded as second order differential equation[3].
  • Lane–Emden equation's instance of is recorded as ordinary differential equation[4].
  • Jonathan Homer Lane is named after Lane–Emden equation[5].
  • Robert Emden is named after Lane–Emden equation[6].
  • Lane–Emden equation's Freebase ID is recorded as /m/01y5kx[7].
  • Lane–Emden equation's defining formula is recorded as \frac1{\xi^2}\frac{\mathrm d}{\mathrm d\xi}\left(\xi^2\frac{\mathrm d\theta}{\mathrm d\xi}\right)+\theta^n=0[8].
  • Lane–Emden equation's MathWorld ID is recorded as Lane-EmdenDifferentialEquation[9].
  • Lane–Emden equation's schematic is recorded as FinitePolytropes.svg[10].
  • Lane–Emden equation's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Lane–Emden equation's Microsoft Academic ID is recorded as 2781080967[12].
  • Lane–Emden equation's in defining formula is recorded as \xi[13].
  • Lane–Emden equation's Namuwiki ID is recorded as 레인-엠든 방정식[14].

Why It Matters

Lane–Emden equation draws 138 Wikipedia views per month (second_order_differential_equation category, ranking #2 of 2).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[15]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Lane–Emden equation. Retrieved May 3, 2026, from https://4ort.xyz/entity/lane-emden-equation
MLA “Lane–Emden equation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lane-emden-equation.
BibTeX @misc{4ortxyz_lane-emden-equation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Lane–Emden equation}}, year = {2026}, url = {https://4ort.xyz/entity/lane-emden-equation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Lane–Emden equation — https://4ort.xyz/entity/lane-emden-equation (retrieved 2026-05-03)

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