Generalizations of the Stormer problem for dust grain orbits

被引：32

作者：

Dullin, HR ^{[1
]}

Horányi, M

Howard, JE

机构：

[1] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] Univ Colorado, Atmospher & Space Phys Lab, Boulder, CO 80309 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2002年 / 171卷 / 03期

关键词：

Stormer problem; dust grains; halo orbits; stability;

D O I：

10.1016/S0167-2789(02)00550-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the generalized Stormer problem, which includes electromagnetic and gravitational forces on a charged dust grain near an axisymmetric planet. For typical charge-to-mass ratios neither force can be neglected. The effects of the different forces are discussed in detail. Thus, including the gravitational force gives rise to stable circular orbits lying in a plane entirely above/below the equatorial plane. A modified third Kepler's law for these orbits is found and analyzed. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：178 / 195

页数：18

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