The stability of periodic linear oscillations of a satellite about the direction of the major axis of an elliptic orbit

被引：1

作者：

Churkina, T. E. ^{[1
]}

机构：

[1] Moscow Inst Aviat Technol, Moscow, Russia

来源：

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2015年 / 79卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.1016/j.jappmathmech.2016.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The motion of a satellite about its centre of mass in a central Newtonian gravitational field in an elliptic orbit under arbitrary (both planar and spatial) perturbations is considered. The satellite is a rigid body, whose linear dimensions are small compared with the dimensions of the orbit. The special case of planar periodic motions of the satellite about the direction of the major axis of the orbit of its centre of mass is investigated. The regions of Lyapunov instability and the regions of stability in a first approximation are obtained in the parameter space of the problem. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：426 / 431

页数：6

共 8 条

[1] [Anonymous], 1975, Linear Differential Equations with Periodic Coeffcients
[2] Beletskii W., 1965, MOTION ARTIFICIAL SA
[3] Stability of a planar resonance satellite motion under spatial perturbations
Churkina, T. E.
[J]. MECHANICS OF SOLIDS, 2007, 42 (04) : 507 - 516
[4] Lyapunov AM., 1954, COLLECTED PAPERS, V1
[5] MARKEEV AP, 1976, PMM-J APPL MATH MEC+, V40, P984
[6] Markeyev AP, 2009, LINEAR HAMILTONIAN S
[7] MARKEYEV AP, 1978, LIBRATION POINTS CEL
[8] Zlatoustov VA, 1964, COSMIC RES, V2, P569

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