Matched asymptotic expansions to the circular Sitnikov problem with long period

DOI10.1155/2012/479093zbMath1264.70031OpenAlexW2114804495WikidataQ58905953 ScholiaQ58905953MaRDI QIDQ1952860

Marco Rosales-Vera

Publication date: 3 June 2013

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

Full work available at URL: https://doi.org/10.1155/2012/479093

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (3)

Asymptotic approach to the one-dimensional motion of a body in modified Newtonian dynamics ⋮ Asymptotic description of a test particle around a Schwarzschild black hole ⋮ Asymptotic approach to the Schrödinger equation in the presence of a screened Coulomb potential and a uniform field

Cites Work

• On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
• An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem
• A new analytic approach to the Sitnikov problem
• The phase space structure of the extended Sitnikov problem
• Solution of the Sitnikov problem
• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• High order normal form construction near the elliptic orbit of the Sitnikov problem
• The stability of vertical motion in the \(N\)-body circular Sitnikov problem
• Stability of motion in the Sitnikov 3-body problem
• On the Sitnikov problem
• Stable and Random Motions in Dynamical Systems
• The structure of the extended phase space of the Sitnikov problem
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