Stability and bifurcations of relative equilibria of a pendulum suspended on the equator

被引:0
|
作者
A. A. Burov
I. I. Kosenko
机构
[1] Dorodnicyn Computing Center of the Russian Academy of Sciences,
来源
Cosmic Research | 2013年 / 51卷
关键词
Relative Equilibrium; Cosmic Research; Inverted Pendulum; Linear Manifold; Geosynchronous Orbit;
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摘要
The problem of equilibria of a pendulum suspended at an equatorial point relative to the rotating Earth is considered. An altitude is determined at which the degree of instability of the inverted pendulum changes from two to unity. Relative equilibria are investigated that bifurcate from the radial one when its degree of instability changes. Their stability properties are studied.
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页码:209 / 212
页数:3
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