Functions that determine stability of rational rotations of a near symmetric satellite

DOI10.1016/S0378-4754(97)00123-7zbMath1017.70508OpenAlexW2012590387MaRDI QIDQ1404732

Sergey Yu. Sadov

Publication date: 21 August 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(97)00123-7

zbMATH Keywords

differential equationsAveragingNormal formSaddle point methodLarge eccentricityNonlinear ordinaryRecurrent relationsRegularization of integralsRotation numberSatellite oscillations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Orbital mechanics (70M20) Stability theory for ordinary differential equations (34D99)

Cites Work

• The behaviour of a nonlinear Hamiltonian system with one degree of freedom at the boundary of a parametric resonance domain
• Normal form of the satellite oscillation equation in the singular case
• Resonance rotation of celestial bodies and Cassini's laws
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