Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques

DOI10.1063/1.1629171zbMath1080.70015OpenAlexW1964327094WikidataQ51705279 ScholiaQ51705279MaRDI QIDQ5705390

Soonhie Tan, J. L. Kuang, Andrew Y. T. Leung

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1629171

zbMATH Keywords

heteroclinic orbitsMelnikov's integralheteroclinic transversal intersections

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Free motion of a rigid body (70E15) Orbital mechanics (70M20) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (2)

On the chaotic instability of a nonsliding liquid-filled top with a small spheroidal base via Melnikov-Holmes-Marsden integrals ⋮ ANALYSIS OF CHAOTIC INSTABILITIES IN A ROTATING BODY WITH INTERNAL ENERGY DISSIPATION

Cites Work

• Unnamed Item
• Control of chaotic instabilities in a spinning spacecraft with dissipation using Lyapunov's method.
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• Chaos and Three-Dimensional Horseshoes in Slowly Varying Oscillators
• Stability of Motion of Solid Bodies with Liquid-Filled Cavities by Lyapunov's Methods
• CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD

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