Skip to main content
Log in

Note on Kepler's problem with variable angular momentum

  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

Based on the equations of planar motion with drag used in point dynamics, a simple derivation is presented that shows how a constant Keplerian (elliptical) orbit can be obtained with a non-central force field and variable angular momentum.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Gorringe, J.M. and Leach, P.G.L.: Conserved vectors and orbit equation for autonomous systems governed by the equation motion\(\ddot r + f\dot r + gr = 0\),Am. J. Phys. 57 (1989) 432–435.

    Google Scholar 

  • Gorringe, J.M. and Leach, P.G.L.: Kepler's third law and the oscillator's isochronism,Am. J. Phys. 61 (1993), 991–995.

    Google Scholar 

  • Deprit, A.G.: The secular accelerations in Gylden's problem,Celest. Mech. 31 (1983), 1–22.

    Google Scholar 

  • Shoucri, R.M.: Elliptical orbit with variable angular momentum,J. Guid. Cont. Dyn. 18 (1995), 1213–1215.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shoucri, R.M. Note on Kepler's problem with variable angular momentum. Celestial Mech Dyn Astr 63, 199–203 (1995). https://doi.org/10.1007/BF00693414

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00693414

Key words

Navigation