Quartic Integral in Rigid Body-Gyrostat Dynamics

IF 1.6 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Advances in Astronomy Pub Date : 2020-12-11 DOI:10.1155/2020/6651277

C. Mnasri, A. Elmandouh

引用次数: 0

Abstract

In this work, we investigate the problem of constructing new integrable problems in the dynamics of the rigid body rotating about its fixed point as results of the effect of a combination of potential and gyroscopic forces possessing a common symmetry axis. We introduce two new integrable problems in a rigid body dynamics that generalize some integrable problems in this field, known by names of Chaplygin and Yehia–Elmandouh.

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刚体-陀螺动力学中的四次积分

在这项工作中，我们研究了在具有共同对称轴的势力和陀螺力的组合作用下，围绕固定点旋转的刚体动力学中构造新的可积问题的问题。我们引入了刚体动力学中的两个新的可积问题，它们推广了该领域的一些可积问题，这些问题被称为Chaplygin和Yehia-Elmandouh。

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

Advances in Astronomy ASTRONOMY & ASTROPHYSICS-

CiteScore

2.70

自引率

7.10%

发文量

审稿时长

22 weeks

期刊介绍： Advances in Astronomy publishes articles in all areas of astronomy, astrophysics, and cosmology. The journal accepts both observational and theoretical investigations into celestial objects and the wider universe, as well as the reports of new methods and instrumentation for their study.