Stability and bifurcations of relative equilibria of a pendulum suspended on the equator |
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Authors: | A A Burov I I Kosenko |
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Institution: | 1. Dorodnicyn Computing Center of the Russian Academy of Sciences, Moscow, Russia
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Abstract: | 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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