Invariable plane

en

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Invariable plane

Quality:

Invariable plane - plane passing through the barycenter of a planetary system, perpendicular to its angular momentum vector. Article “Invariable plane” in English Wikipedia has 20 points for quality (as of July 1, 2026). The article contains 9 references and 4 sections.

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

Since the creation of article “Invariable plane”, its content was written by 52 registered users of English Wikipedia and edited by 133 registered Wikipedia users in all languages.

The article is cited 51 times in English Wikipedia and cited 312 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #100048 in July 2025
  • Global: #102807 in September 2012

The highest popularity rank from 2008:

  • Local (English): #208537 in January 2016
  • Global: #337064 in January 2016

There are 19 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, 2026 (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
1Japanese (ja)
不変面
32.3521
2Turkish (tr)
Değişmeyen düzlem
23.4358
3Russian (ru)
Инвариантная плоскость
22.6332
4Catalan (ca)
Pla invariable
22.448
5Arabic (ar)
مستو غير متغير
20.4234
6English (en)
Invariable plane
20.0439
7Simple English (simple)
Invariable plane
19.0786
8Korean (ko)
불변면
18.919
9Malay (ms)
Satah tak berubah
18.6159
10Indonesian (id)
Bidang invariabel
18.3773
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 "Invariable plane" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Invariable plane
327 590
2Spanish (es)
Plano invariable
31 455
3Portuguese (pt)
Plano invariável
13 173
4Italian (it)
Piano invariabile
11 642
5Polish (pl)
Płaszczyzna niezmienna Laplace’a
9 205
6Simple English (simple)
Invariable plane
8 642
7Russian (ru)
Инвариантная плоскость
7 009
8French (fr)
Plan invariable
5 879
9Japanese (ja)
不変面
4 624
10Indonesian (id)
Bidang invariabel
4 268
More...

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

Most popular in June 2026

The most popular language versions of the article "Invariable plane" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Invariable plane
1 165
2Russian (ru)
Инвариантная плоскость
55
3Spanish (es)
Plano invariable
47
4Italian (it)
Piano invariabile
35
5Japanese (ja)
不変面
29
6Portuguese (pt)
Plano invariável
25
7Simple English (simple)
Invariable plane
21
8Polish (pl)
Płaszczyzna niezmienna Laplace’a
16
9Turkish (tr)
Değişmeyen düzlem
15
10French (fr)
Plan invariable
14
More...

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

The highest AI

Language versions of the article "Invariable plane" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Invariable plane
52
2Italian (it)
Piano invariabile
17
3Spanish (es)
Plano invariable
13
4Simple English (simple)
Invariable plane
8
5Catalan (ca)
Pla invariable
6
6Polish (pl)
Płaszczyzna niezmienna Laplace’a
5
7Ukrainian (uk)
Незмінна площина
5
8French (fr)
Plan invariable
4
9Korean (ko)
불변면
4
10Portuguese (pt)
Plano invariável
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 2026

Language versions of the article "Invariable plane" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Japanese (ja)
不変面
1
2Arabic (ar)
مستو غير متغير
0
3Catalan (ca)
Pla invariable
0
4English (en)
Invariable plane
0
5Spanish (es)
Plano invariable
0
6Basque (eu)
Plano inbariante
0
7French (fr)
Plan invariable
0
8Indonesian (id)
Bidang invariabel
0
9Italian (it)
Piano invariabile
0
10Korean (ko)
불변면
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 "Invariable plane" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Russian (ru)
Инвариантная плоскость
100
2English (en)
Invariable plane
51
3Turkish (tr)
Değişmeyen düzlem
16
4Indonesian (id)
Bidang invariabel
14
5Spanish (es)
Plano invariable
13
6Japanese (ja)
不変面
13
7Portuguese (pt)
Plano invariável
13
8Vietnamese (vi)
Mặt phẳng bất biến
13
9Catalan (ca)
Pla invariable
11
10Simple English (simple)
Invariable plane
11
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مستو غير متغير
caCatalan
Pla invariable
enEnglish
Invariable plane
esSpanish
Plano invariable
euBasque
Plano inbariante
frFrench
Plan invariable
idIndonesian
Bidang invariabel
itItalian
Piano invariabile
jaJapanese
不変面
koKorean
불변면
msMalay
Satah tak berubah
plPolish
Płaszczyzna niezmienna Laplace’a
ptPortuguese
Plano invariável
ruRussian
Инвариантная плоскость
simpleSimple English
Invariable plane
svSwedish
Solsystemets invariabla plan
trTurkish
Değişmeyen düzlem
ukUkrainian
Незмінна площина
viVietnamese
Mặt phẳng bất biến

Popularity rank trends

Best Rank English:
#208537
01.2016
Global:
#337064
01.2016

AI rank trends

Best Rank English:
#100048
07.2025
Global:
#102807
09.2012

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Invariable plane from Wikipedia articles about Northern Hemisphere, Earth, Ecliptic, Solar System and Orbital inclination. Whereas reading the article about Invariable plane people most often go to Wikipedia articles on Angular momentum, Barycenter, Planetary system, Ecliptic and Laplace plane.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information