Stationary solutions of a small gyrostat in the Newtonian field of two bodies with equal masses

DOI10.1007/s11071-010-9655-0zbMath1204.70009OpenAlexW2009552304MaRDI QIDQ623899

Telemachus J. Kalvouridis

Publication date: 8 February 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9655-0

zbMATH Keywords

stabilityrigid body dynamicsstationary solutionsgyrostat

Mathematics Subject Classification ID

Orbital mechanics (70M20) Dynamics of multibody systems (70E55) Motion of the gyroscope (70E05)

Related Items

Dynamics and chaos control of gyrostat satellite ⋮ Stability analysis of resonant rotation of a gyrostat in an elliptic orbit under third-and fourth-order resonances ⋮ On sufficient conditions of stability of the permanent rotations of a heavy triaxial gyrostat ⋮ Integrable cases in the dynamics of axial gyrostats and adiabatic invariants ⋮ Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field ⋮ Gyrostat model regular and chaotic behavior

Cites Work

• On the relative equilibrium of a gyrostat satellite in the generalized limited circular problem of three bodies
• Eulerian equilibria of a triaxial gyrostat in the three-body problem: rotational Poisson dynamics in Eulerian equilibria
• Hamiltonian dynamics of a gyrostat in the \(n\)-body problem: relative equilibria
• Two equivalent problems: Gyrostats in free motion and parametric quadratic Hamiltonians
• The equilibrium configurations of the restricted problem of \(2+2\) triaxial rigid bodies
• On the stability of an equilibrium position and rotational motion of a gyrostat
• Some equilibrium of the restricted three-body problem with axial symmetric primaries and a gyrostat as infinitesimal mass
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• On the stability of relative programmed motion of satellite-gyrostat
• Attitude Motion of Asymmetric Dual-Spin Spacecraft
• [https://portal.mardi4nfdi.de/wiki/Publication:4080774 Probl�me restreint des trois corps appliqu� � un gyrostat]
• Spinup dynamics of gyrostats
• Complete analysis of bifurcations in the axial gyrostat problem

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