A dissipative Kepler problem with a family of singular drags

DOI10.1007/s10569-020-9956-7zbMath1443.70039OpenAlexW3013000991MaRDI QIDQ2004691

Mauricio Misquero, Alessandro Margheri

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-020-9956-7

zbMATH Keywords

singularitydragKepler problemasymptotic Runge-Lenz vector

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15)

Related Items (2)

Revisiting the Kepler problem with linear drag using the blowup method and normal form theory ⋮ Tadpole type motion of charged dust in the Lagrange problem with planet Jupiter

Cites Work

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• Two-body problems with drag or thrust: Qualitative results
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• 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
• Poynting-Robertson effect and perihelion motion
• Linear frictional forces cause orbits to neither circularize nor precess
• An analytic solution to the classical two-body problem with drag
• The collision singularity in a perturbed two-body problem

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