Stable orbital motion of magnetic dipole in the field of permanent magnets

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• 作者：Stanislav S. Zub ^{stah@univ.kiev.ua" class="auth_mail}
• 关键词：Magnetic stability ; Orbital motion ; Relative equilibria
• 刊名：Physica D
• 出版年：1 May, 2014
• 年：2014
• 卷：275
• 期：Complete
• 页码：67-73
• 全文大小：391 K

文摘

In this paper we aim to give a constructive proof of the existence of stable orbital motions of the bodies in the systems which interact only via magnetic forces. To demonstrate this, we give an example of a magnetic system for which we analytically prove -stability. We study the dynamics of a small magnetic body, a magnetic dipole, that performs the quasi-orbital motion in the field of two fixed magnetic poles of opposite signs placed at the system鈥檚 axis. We use the generalized energy-momentum method to find the conditions of stability of relative equilibria. We also give the realizable physical parameters of the system.