Dynamics of Kepler problem with linear drag

DOI10.1007/S10569-014-9553-8zbMath1298.70010OpenAlexW2031426837MaRDI QIDQ468562

Carlota Rebelo, Rafael Ortega, Alessandro Margheri

Publication date: 7 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10569-014-9553-8

zbMATH Keywords

Kepler problemcollisionLevi-Civita transformationlinear drag

Mathematics Subject Classification ID

Three-body problems (70F07) Geometric methods in ordinary differential equations (34A26) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Collisions in celestial mechanics, regularization (70F16)

Related Items (6)

First integrals for the Kepler problem with linear drag ⋮ On the Lambert problem with drag ⋮ Revisiting the Kepler problem with linear drag using the blowup method and normal form theory ⋮ Numerical integration in celestial mechanics: a case for contact geometry ⋮ A dissipative Kepler problem with a family of singular drags ⋮ Periodic solutions to a forced Kepler problem in the plane

Cites Work

• Some results on the global dynamics of the regularized restricted three-body problem with dissipation
• Linear motions in a periodically forced Kepler problem
• Jacobi's lectures on dynamics. Delivered at the University of Königsberg in the winter semester 1842--1843 and according to the notes prepared by C. W. Borchardt. Edited by A. Clebsch. Translated from the original German by K. Balagangadharan. Translation edited by Biswarup Banerjee
• Two-body problems with drag or thrust: Qualitative results
• Some analytical results about periodic orbits in the restricted three body problem with dissipation
• Attractivity of closed sets proved by using a family of Liapunov functions
• The first integrals and orbit equation for the Kepler problem with drag
• An analytic solution to the classical two-body problem with drag
• The collision singularity in a perturbed two-body problem

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