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首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >STABILITY OF EQUILIBRIA POINTS FOR A DUMBBELL SATELLITE WHEN THE CENTRAL BODY IS OBLATE SPHEROID
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STABILITY OF EQUILIBRIA POINTS FOR A DUMBBELL SATELLITE WHEN THE CENTRAL BODY IS OBLATE SPHEROID

机译：当中央身体呈扁球形时，Dumbel卫星的平衡点的稳定性

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摘要

The main aim of the present work is to study the positions of the equilibria points and their stability in the frame work of satellite approxima-tion. The significant implication is that the motion around these points is unstable in the linear sense. The principle of angular momentum conservation is used as a tool to reduce the degree of freedom of the dynamical systems of equations. The positions of the relative equilibria are explicitly found as well as necessary and sufficient conditions for stable motion in the linear sense axe stated.
机译：本工作的主要目的是研究卫星逼近框架中平衡点的位置及其稳定性。显着的含义是这些点周围的运动在线性意义上是不稳定的。角动量守恒原理被用作减小方程动力学系统的自由度的工具。明确找到了相对平衡的位置，以及在所述线性意义上的稳定运动的必要和充分条件。

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  • 作者

    ELBAZ I. ABOUELMAGD; JUAN L. G. GUIRAO; AATEF HOBINY; FARIS ALZAHRANI;

  • 作者单位

    National Research Institute of Astronomy and Geophysics, Cairo, Egypt,Nonlinear Analysis and Applied Mathematics Research Group (NAAM) Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah, Saudi Arabia;

    Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena Hospital de Marina 30203-Cartagena, Region de Murcia, Spain;

    Nonlinear Analysis and Applied Mathematics Research Group (NAAM) Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah, Saudi Arabia;

    Nonlinear Analysis and Applied Mathematics Research Group (NAAM) Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah, Saudi Arabia;

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  • 正文语种 eng
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  • 关键词

    Dumbbell satellite; stability; relative equilibria points;

    机译：哑铃卫星;稳定性;相对平衡点;

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