Linear motions in a periodically forced Kepler problem

DOI10.4171/PM/1885zbMath1235.34136MaRDI QIDQ555196

Rafael Ortega

Publication date: 22 July 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

periodic solutioncollisiontwist mapSundman's integral

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical aspects of twist maps (37E40)

Related Items (15)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ A counterexample for singular equations with indefinite weight ⋮ Double resonance for one-sided superlinear or singular nonlinearities ⋮ Periodic linear motions with multiple collisions in a forced Kepler type problem ⋮ On the Lambert problem with drag ⋮ Some remarks on the periodic motions of a bouncing ball ⋮ Dynamics of Kepler problem with linear drag ⋮ Coexistence of bouncing and classical periodic solutions of generalized Lazer-Solimini equation ⋮ A dissipative Kepler problem with a family of singular drags ⋮ Regularized variational principles for the perturbed Kepler problem ⋮ Generalized periodic orbits in some restricted three-body problems ⋮ Some Collision Solutions of the Rectilinear Periodically Forced Kepler Problem ⋮ Periodic solutions to a forced Kepler problem in the plane ⋮ Periodic solutions and regularization of a Kepler problem with time-dependent perturbation ⋮ Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity

Cites Work

• Periodic solutions of singular Lagrangian systems
• QUASIRANDOM DYNAMICAL SYSTEMS. II. ONE-DIMENSIONAL NONLINEAR OSCILLATIONS IN A FIELD WITH PERIODIC PERTURBATION

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