Plane resonance rotations of a satellite in an elliptic orbit

DOI10.1016/0021-8928(79)90091-1zbMath0439.70027OpenAlexW1495081618MaRDI QIDQ1142614

D. Yu. Pogorelov, V. V. Beletskij

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(79)90091-1

zbMATH Keywords

satellite dynamicsPoincaré methodelliptic orbitnonautonomous differential equationtidal forcesplane resonance rotations

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Orbital mechanics (70M20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

• On synchronization of dynamic systems
• Finding the characteristic exponents of systems of linear differential equations with periodic coefficients
• On the motion of a satellite about its center of mass under the action of gravitational moments
• On periodic solutions of a certain nonlinear equation
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