A new method to construct integrable approximations to nearly integrable systems in Celestial mechanics: application to the Sitnikov problem

DOI10.1007/S10569-015-9606-7zbMath1325.70035OpenAlexW2088722635MaRDI QIDQ891166

Johannes Hagel

Publication date: 16 November 2015

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-015-9606-7

zbMATH Keywords

survivabilitySitnikov problemsolar radiation pressureinvariant surfacesamplitude distortionapproximating integrable systems

Mathematics Subject Classification ID

Celestial mechanics (70F15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (2)

Subharmonic oscillations in the near-circular elliptic Sitnikov problem ⋮ The Sitnikov problem investigation with the method of multiple scales

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Cites Work

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• A computer aided analysis of the Sitnikov problem
• A high order perturbation analysis of the Sitnikov problem
• An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem
• A new analytic approach to the Sitnikov problem
• Analytical investigation of nonlinear stability of the Lagrangian point \(L_4\) around the commensurability 1:2
• Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability
• Periodic orbits and bifurcations in the Sitnikov four-body problem
• High order normal form construction near the elliptic orbit of the Sitnikov problem
• The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem
• On the Sitnikov problem
• The structure of the extended phase space of the Sitnikov problem
• Symmetries and bifurcations in the Sitnikov problem

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