Repository logo
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
Repository logo
Repository logo
  • Archive
  • Series/Journals
  • EUT
  • Events
  • Statistics
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
  1. Home
  2. EUT Edizioni Università di Trieste
  3. Periodici
  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.49 (2017)
  6. On a family of Kepler problems with linear dissipation
 
  • Details
  • Metrics
Options

On a family of Kepler problems with linear dissipation

Margheri, Alessandro
•
Ortega, Rafael
•
Rebelo, Carlota
2017
Loading...
Thumbnail Image
ISSN
0049-4704
DOI
10.13137/2464-8728/16216
http://hdl.handle.net/10077/16216
  • Article

e-ISSN
2464-8728
Abstract
We consider the dissipative Kepler problem for a family of dissipations that is linear in the velocity. Under mild assumptions on the drag coefficient, we show that its forward dynamics is qualitatively similar to the one obtained in [15] and [16] for a constant drag coefficient. In particular, we extend to this more general framework the existence of a continuous vector-valued first integral I obtained as the limit along the trajectories of the Runge-Lenz vector. We also establish the existence of asymptotically circular orbits, so improving the result about the range of I contained in [16].
Journal
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Part of
49 (2017)
Subjects
  • Kepler equation

  • drag linear in the ve...

  • first integral

Publisher
EUT Edizioni Università di Trieste
Source
A. Margheri, R. Ortega, C. Rebelo, "On a family of Kepler problems with linear dissipation", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 265-286
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
File(s)
Loading...
Thumbnail Image
Download
Name

16_RIMUT_MargherietAl.pdf

Format

Adobe PDF

Size

360.3 KB

Indexed by

 Info

Open Access Policy

Share/Save

 Contacts

EUT Edizioni Università di Trieste

OpenstarTs

 Link

Wiki OpenAcces

Archivio Ricerca ArTS

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback