Einstein–Infeld–Hoffmann equations

system of second-order differential equations describing the motion of a system of point particles with leading-order general-relativistic corrections
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Einstein–Infeld–Hoffmann equations

Summary

Einstein–Infeld–Hoffmann equations is a system of differential equations[1]. It draws 26 Wikipedia views per month (system_of_differential_equations category, ranking #4 of 4).[2]

Key Facts

  • Einstein–Infeld–Hoffmann equations's instance of is recorded as system of differential equations[3].
  • Einstein–Infeld–Hoffmann equations's Freebase ID is recorded as /m/05p2t72[4].
  • Einstein–Infeld–Hoffmann equations's uses is recorded as post-Newtonian expansion[5].
  • Einstein–Infeld–Hoffmann equations's defining formula is recorded as \ddot x_A=\sum_{B\ne A}Gm_Br_{AB}^{-3}x_{BA}+c^{-2}\sum_{B\ne A}Gm_Br_{AB}^{-3}x_{BA}\left[\dot x_A^2+2\dot x_B^2-4\dot x_A\cdot\dot x_B-1.5(r_{AB}^{-1}x_{AB}\cdot\dot x_B)^2-4\sum_{C\ne A}Gm_Cr_{AC}^{-1}-\sum_{C\ne B}Gm_Cr_{BC}^{-1}+\frac12x_{BA}\cdot\ddot x_B\right]+c^{-2}\sum_{B\ne A}Gm_Br_{AB}^{-3}(x_{AB}\cdot(4\dot x_A-3\dot x_B))\dot x_{AB}+3.5c^{-2}\sum_{B\ne A}Gm_Br_{AB}^{-1}\ddot x_B[6].
  • Einstein–Infeld–Hoffmann equations's in defining formula is recorded as G[7].
  • Einstein–Infeld–Hoffmann equations's in defining formula is recorded as x_A[8].
  • Einstein–Infeld–Hoffmann equations's in defining formula is recorded as x_{AB}[9].
  • Einstein–Infeld–Hoffmann equations's in defining formula is recorded as c[10].

Why It Matters

Einstein–Infeld–Hoffmann equations draws 26 Wikipedia views per month (system_of_differential_equations category, ranking #4 of 4).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[11]

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] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] . 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). Einstein–Infeld–Hoffmann equations. Retrieved May 3, 2026, from https://4ort.xyz/entity/einstein-infeld-hoffmann-equations
MLA “Einstein–Infeld–Hoffmann equations.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/einstein-infeld-hoffmann-equations.
BibTeX @misc{4ortxyz_einstein-infeld-hoffmann-equations_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Einstein–Infeld–Hoffmann equations}}, year = {2026}, url = {https://4ort.xyz/entity/einstein-infeld-hoffmann-equations}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Einstein–Infeld–Hoffmann equations — https://4ort.xyz/entity/einstein-infeld-hoffmann-equations (retrieved 2026-05-03)

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