The structure of the extended phase space of the Sitnikov problem

DOI10.1002/ASNA.200710799zbMath1184.70007OpenAlexW1987610351MaRDI QIDQ5435488

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Publication date: 14 January 2008

Published in: Astronomische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asna.200710799

zbMATH Keywords

escape timesstroboscopic mapcentral regular region

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (6)

A new method to construct integrable approximations to nearly integrable systems in Celestial mechanics: application to the Sitnikov problem ⋮ On the Dumb-Bell Equilibria in the Generalized Sitnikov Problem ⋮ On the manifold ``gravitational propeller in the generalized circular Sitnikov problem ⋮ Matched asymptotic expansions to the circular Sitnikov problem with long period ⋮ Transient chaos in the Sitnikov problem ⋮ The Sitnikov problem investigation with the method of multiple scales

Cites Work

• A high order perturbation analysis of the Sitnikov problem
• A new analytic approach to the Sitnikov problem
• Invariant rotational curves in Sitnikov's problem
• Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability
• Solution of the Sitnikov problem
• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• On the Sitnikov problem
• Periodic orbits of the Sitnikov problem via a Poincaré map

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