CHAOTIC ROTATIONS OF AN ASYMMETRIC BODY WITH TIME-DEPENDENT MOMENTS OF INERTIA AND VISCOUS DRAG

DOI10.1142/S0218127403006613zbMath1129.70304OpenAlexW2037368264MaRDI QIDQ4653776

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Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403006613

zbMATH Keywords

Attitude dynamicsMelnikov's method

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Perturbation methods for rigid body dynamics (70E20) Motion of a rigid body with a fixed point (70E17)

Related Items (12)

CHAOTIC PITCH MOTION OF A MAGNETIC SPACECRAFT WITH VISCOUS DRAG IN AN ELLIPTICAL POLAR ORBIT ⋮ Attitude dynamics of a spacecraft with variable structure at presence of harmonic perturbations ⋮ Chaotic dynamics of an unbalanced gyrostat ⋮ Chaos and its control in the pitch motion of an asymmetric magnetic spacecraft in polar elliptic orbit ⋮ Heteroclinic chaos detecting in dissipative mechanical systems: chaotic regimes of compound nanosatellites dynamics ⋮ Dynamics and chaos control of gyrostat satellite ⋮ Vibrational Stability of Periodic Solutions of the Liouville Equations ⋮ Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions ⋮ Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. II: The heteroclinic chaos investigation ⋮ Motion of a satellite with a variable mass distribution in a central field of Newtonian attraction ⋮ Chaos as the hub of systems dynamics. I: The attitude control of spacecraft by involving in the heteroclinic chaos ⋮ Chaos analysis in attitude dynamics of a flexible satellite

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Chaotic motion of a gyrostat with asymmetric rotor
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• A mechanical system with a ‘‘wild’’ horseshoe
• The Mel’nikov Technique for Highly Dissipative Systems
• Spin Rotor Stabilization of a Dual-Spin Spacecraft with Time Dependent Moments of Inertia

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