Second species periodic orbits of the elliptic 3 body problem

DOI10.1007/s10569-005-2172-7zbMath1129.70006OpenAlexW2062640808MaRDI QIDQ816907

Sergey V. Bolotin

Publication date: 2 March 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-005-2172-7

zbMATH Keywords

collisiontwist map3-body problemsecond species orbits

Mathematics Subject Classification ID

[https%3A%2F%2Fportal.mardi4nfdi.de%2Fw%2Findex.php%3Ftitle%3D%2BSpecial%253ASearch%26search%3DThree-body+problems%26go%3DGo Three-body problems (70F07)] [https%3A%2F%2Fportal.mardi4nfdi.de%2Fw%2Findex.php%3Ftitle%3D%2BSpecial%253ASearch%26search%3DEquilibria+and+periodic+trajectories+for+nonlinear+problems+in+mechanics%26go%3DGo Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)] [https%3A%2F%2Fportal.mardi4nfdi.de%2Fw%2Findex.php%3Ftitle%3D%2BSpecial%253ASearch%26search%3DHamilton%27s+equations%26go%3DGo Hamilton's equations (70H05)] [https%3A%2F%2Fportal.mardi4nfdi.de%2Fw%2Findex.php%3Ftitle%3D%2BSpecial%253ASearch%26search%3DDynamical+systems+in+classical+and+celestial+mechanics%26go%3DGo Dynamical systems in classical and celestial mechanics (37N05)] [https%3A%2F%2Fportal.mardi4nfdi.de%2Fw%2Findex.php%3Ftitle%3D%2BSpecial%253ASearch%26search%3DPeriodic+and+almost+periodic+solutions+for+problems+in+Hamiltonian+and+Lagrangian+mechanics%26go%3DGo Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)] [https%3A%2F%2Fportal.mardi4nfdi.de%2Fw%2Findex.php%3Ftitle%3D%2BSpecial%253ASearch%26search%3DDynamical+aspects+of+twist+maps%26go%3DGo Dynamical aspects of twist maps (37E40)]

Related Items (7)

Asymptotic density of collision orbits in the restricted circular planar 3 body problem ⋮ Degenerate billiards in celestial mechanics ⋮ A numerical study of the orbits of second species of the planar circular RTBP ⋮ Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system ⋮ Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision ⋮ Exponential stability of fast driven systems, with an application to celestial mechanics ⋮ Conjugacy classes and chiral doublets in the Hénon Hamiltonian repeller

Cites Work

• Unnamed Item
• Second-species solutions in the circular and elliptic restricted three- body problem. I: Existence and asymptotic approximation
• Second species solutions in the circular and elliptic restricted three- body problem. II: Numerical explorations
• Periodic and chaotic trajectories of the second species for the \(n\)-centre problem
• Consecutive quasi-collisions in the planar circular RTBP
• Second species solutions with an 0(? v ), 0<v<1, near-Moon passage
• Wandering domains and random walks in Gevrey near-integrable systems

This page was built for publication: Second species periodic orbits of the elliptic 3 body problem