Academic Journal
A note on the proof of Bertrand's theorem
| العنوان: | A note on the proof of Bertrand's theorem |
|---|---|
| المؤلفون: | Jovanović Vladimir |
| المصدر: | Theoretical and Applied Mechanics, Vol 42, Iss 1, Pp 27-33 (2015) |
| بيانات النشر: | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, 2015. |
| سنة النشر: | 2015 |
| المجموعة: | LCC:Mechanics of engineering. Applied mechanics |
| مصطلحات موضوعية: | Newtonian mechanics, central forces, closed orbits, Mechanics of engineering. Applied mechanics, TA349-359 |
| الوصف: | In this paper we fill a common gap in the proof of Bertrand' theorem present both the in Bertrand's original paper Théorème relatif au movement d'un point attiré vers un centre fixe and in the Arnold's book Mathematical methods of classical mechanics, by providing missing details which pertain to the problem of how to single out elastic and gravitational potentials among the power law ones. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1450-5584 2406-0925 |
| Relation: | https://doaj.org/toc/1450-5584; https://doaj.org/toc/2406-0925 |
| DOI: | 10.2298/TAM1501027J |
| URL الوصول: | https://doaj.org/article/0289b9b6276c4aeea7af8a63eb5a936e |
| رقم الانضمام: | edsdoj.0289b9b6276c4aeea7af8a63eb5a936e |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 14505584 24060925 |
|---|---|
| DOI: | 10.2298/TAM1501027J |