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Nonlinear stability of the equilibria in a double-bar rotating system

โœ Scribed by Juan L.G. Guirao; Raquel G. Rubio; Juan A. Vera

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
238 KB
Volume
235
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We study the nonlinear stability of the equilibria corresponding to the motion of a particle orbiting around a two finite orthogonal straight segment. The potential is a logarithmic function and may be considered as an approximation to the one generated by irregular celestial bodies. Using Arnold's theorem for non-definite quadratic forms we determine the nonlinear stability of the equilibria, for all values of the parameter of the problem. Moreover, the resonant cases are determined and the stability is investigated.

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โœ A.P. Yevdokimenko ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 531 KB

The relative equilibria of a plane three-link pendulum with a suspension rotating about a vertical axis in a gravitational force field are investigated. The pendulum is modelled as a system of three point masses, joined in tandem by massless non-elastic rods using cylindrical hinges. All the trivial