Bertrand's theorem

theorem that, among central-force potentials with bound orbits, there are only 2 types of central-force scalar potentials such that all bound orbits are closed: inverse square and radial harmonic
Intangible Theorem Q2493651

Facts

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theorem
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WikiProject Mathematics[2]
🏷️ Also known as
en Bertrand's theorem ar نظرية برتراند es Teorema de Bertrand fr théorème de Bertrand he משפט ברטראן he משפט ברטרן he משפט ברטרנד it Teorema di Bertrand ja ベルトランの定理 ja バートランドの定理 ko 베르트랑의 정리 ro Teorema lui Bertrand ru Задача Бертрана ru Теорема Бертрана tr Bertrand teoremi uk теорема Бертрана zh 伯特蘭定理 zh-hans 伯特兰定理
🔖 Identifiers · 4
Freebase ID
/m/0dcjt2
Microsoft Academic ID (discontinued)
177787327
World of Physics ID
BertrandsTheorem

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Summary

Bertrand's theorem is a theorem[1].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Bertrand's theorem. Retrieved November 9, 2026, from https://4ort.xyz/entity/bertrand-s-theorem
MLA “Bertrand's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 9 Nov. 2026, https://4ort.xyz/entity/bertrand-s-theorem.
BibTeX @misc{4ortxyz_bertrand-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bertrand's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/bertrand-s-theorem}, note = {Accessed: 2026-11-09}}
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