Euler's equations (rigid body dynamics)

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Euler's equations (rigid body dynamics)

Quality:

Euler's equations - quasilinear first-order ordinary differential equation describing the rotation of a rigid body. Article “Euler's equations (rigid body dynamics)” in English Wikipedia has 17.2 points for quality (as of July 1, 2025). The article contains 2 references and 8 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Euler's equations (rigid body dynamics)”, its content was written by 56 registered users of English Wikipedia and edited by 199 registered Wikipedia users in all languages.

The article is cited 126 times in English Wikipedia and cited 476 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #36656 in November 2004
  • Global: #74441 in August 2008

The highest popularity rank from 2008:

  • Local (English): #163422 in November 2018
  • Global: #185414 in November 2018

There are 14 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Eulersche Gleichungen (Kreiseltheorie)
36.9981
2English (en)
Euler's equations (rigid body dynamics)
17.233
3Hindi (hi)
आयलर समीकरण
16.0555
4Italian (it)
Equazioni di Eulero (dinamica del corpo rigido)
13.6718
5Japanese (ja)
オイラーの運動方程式
11.4482
6Romanian (ro)
Ecuațiile lui Euler (solid rigid)
8.8543
7Hebrew (he)
משוואות אוילר (מכניקה של גוף קשיח)
7.9686
8Chinese (zh)
欧拉方程 (刚体运动)
7.7038
9Portuguese (pt)
Lista de equações de Euler (dinâmica de corpo rígido)
5.8912
10Spanish (es)
Ecuaciones de Euler (sólidos)
4.8472
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Euler's equations (rigid body dynamics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Euler's equations (rigid body dynamics)
763 382
2Japanese (ja)
オイラーの運動方程式
206 449
3German (de)
Eulersche Gleichungen (Kreiseltheorie)
126 731
4Russian (ru)
Уравнения Эйлера
81 281
5Spanish (es)
Ecuaciones de Euler (sólidos)
77 611
6Chinese (zh)
欧拉方程 (刚体运动)
53 979
7Hindi (hi)
आयलर समीकरण
31 498
8Korean (ko)
오일러 운동 방정식
31 155
9Italian (it)
Equazioni di Eulero (dinamica del corpo rigido)
21 067
10Portuguese (pt)
Lista de equações de Euler (dinâmica de corpo rígido)
15 586
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Euler's equations (rigid body dynamics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Euler's equations (rigid body dynamics)
3 138
2Japanese (ja)
オイラーの運動方程式
819
3German (de)
Eulersche Gleichungen (Kreiseltheorie)
414
4Russian (ru)
Уравнения Эйлера
350
5Italian (it)
Equazioni di Eulero (dinamica del corpo rigido)
280
6Chinese (zh)
欧拉方程 (刚体运动)
205
7Spanish (es)
Ecuaciones de Euler (sólidos)
187
8Korean (ko)
오일러 운동 방정식
115
9Portuguese (pt)
Lista de equações de Euler (dinâmica de corpo rígido)
62
10Hebrew (he)
משוואות אוילר (מכניקה של גוף קשיח)
51
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Euler's equations (rigid body dynamics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Eulersche Gleichungen (Kreiseltheorie)
59
2English (en)
Euler's equations (rigid body dynamics)
56
3Russian (ru)
Уравнения Эйлера
20
4Spanish (es)
Ecuaciones de Euler (sólidos)
13
5Japanese (ja)
オイラーの運動方程式
11
6Hindi (hi)
आयलर समीकरण
9
7Portuguese (pt)
Lista de equações de Euler (dinâmica de corpo rígido)
6
8Chinese (zh)
欧拉方程 (刚体运动)
6
9Ukrainian (uk)
Рівняння Ейлера (динаміка твердого тіла)
5
10Hebrew (he)
משוואות אוילר (מכניקה של גוף קשיח)
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Euler's equations (rigid body dynamics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Eulersche Gleichungen (Kreiseltheorie)
0
2English (en)
Euler's equations (rigid body dynamics)
0
3Spanish (es)
Ecuaciones de Euler (sólidos)
0
4Persian (fa)
معادلات اویلر (دینامیک اجسام صلب)
0
5Hebrew (he)
משוואות אוילר (מכניקה של גוף קשיח)
0
6Hindi (hi)
आयलर समीकरण
0
7Italian (it)
Equazioni di Eulero (dinamica del corpo rigido)
0
8Japanese (ja)
オイラーの運動方程式
0
9Korean (ko)
오일러 운동 방정식
0
10Portuguese (pt)
Lista de equações de Euler (dinâmica de corpo rígido)
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Euler's equations (rigid body dynamics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Euler's equations (rigid body dynamics)
126
2Persian (fa)
معادلات اویلر (دینامیک اجسام صلب)
70
3Chinese (zh)
欧拉方程 (刚体运动)
64
4Korean (ko)
오일러 운동 방정식
52
5German (de)
Eulersche Gleichungen (Kreiseltheorie)
45
6Hindi (hi)
आयलर समीकरण
32
7Japanese (ja)
オイラーの運動方程式
19
8Russian (ru)
Уравнения Эйлера
14
9Spanish (es)
Ecuaciones de Euler (sólidos)
12
10Italian (it)
Equazioni di Eulero (dinamica del corpo rigido)
11
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Eulersche Gleichungen (Kreiseltheorie)
enEnglish
Euler's equations (rigid body dynamics)
esSpanish
Ecuaciones de Euler (sólidos)
faPersian
معادلات اویلر (دینامیک اجسام صلب)
heHebrew
משוואות אוילר (מכניקה של גוף קשיח)
hiHindi
आयलर समीकरण
itItalian
Equazioni di Eulero (dinamica del corpo rigido)
jaJapanese
オイラーの運動方程式
koKorean
오일러 운동 방정식
ptPortuguese
Lista de equações de Euler (dinâmica de corpo rígido)
roRomanian
Ecuațiile lui Euler (solid rigid)
ruRussian
Уравнения Эйлера
ukUkrainian
Рівняння Ейлера (динаміка твердого тіла)
zhChinese
欧拉方程 (刚体运动)

Popularity rank trends

Best Rank English:
#163422
11.2018
Global:
#185414
11.2018

AI rank trends

Best Rank English:
#36656
11.2004
Global:
#74441
08.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Euler's equations from Wikipedia articles about Tennis racket theorem, Eulersche Gleichungen, Eulers laws of motion, List of things named after Leonhard Euler and Leonhard Euler. Whereas reading the article about Euler's equations people most often go to Wikipedia articles on Moment of inertia, Rotating reference frame, Integrable rigid body, Tennis racket theorem and Balance of angular momentum.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information