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arxiv: 1603.00343 · v1 · pith:G57RNF7Hnew · submitted 2016-03-01 · 🧮 math-ph · math.MP

A note on stability of spacecrafts and underwater vehicles

classification 🧮 math-ph math.MP
keywords equilibriummotionpointstabilityunderwaterapproacharoundasteroid
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A Hamilton-Poisson system is an approach for the motion of a spacecraft around an asteroid or for the motion of an underwater vehicle. We construct a coordinate chart on the symplectic leaf which contains a specific generic equilibrium point and we establish stability conditions for this equilibrium point.

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