Conditionally periodic motions in the attraction field of a rotating triaxial ellipsoid

DOI10.1016/0021-8928(83)90107-7zbMath0596.70015OpenAlexW2005377173MaRDI QIDQ1079032

Sergei Georgievich Zhuravlev

Publication date: 1983

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(83)90107-7

zbMATH Keywords

generating functionconditionally periodic solutionsattraction field of a homogeneous triaxial ellipsoidconditionally periodic motions of a material pointexistence of steady-state motionsZeipel transformation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Steady-state and periodic motions in the attraction field of a rotating triaxial ellipsoid
• On stationary solutions of some canonical systems of differential equations
• Conditionally periodic solutions of the canonical systems of differential equations in non-autonomous resonant case
• Periodic orbits around a rotating ellipsoid

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