Symmetries and stability of motions in the Newtonian and the Hookean potentials

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI:10.2298/tam220213005c

C. Carimalo

引用次数: 0

Abstract

A new way of looking at symmetries is proposed, especially regarding their role in the stability of two-body motions in the Newtonian and the Hookean potentials, the two selected by Bertrand?s theorem. The role of the number of spatial dimensions is also addressed.

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牛顿势和胡克势中运动的对称性和稳定性

提出了一种观察对称性的新方法，特别是关于它们在牛顿势和胡克势中两体运动稳定性中的作用，这两种势由伯特兰?年代定理。还讨论了空间维度数量的作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

期刊介绍： Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.