Astrophysics and Space Science

, Volume 46, Issue 1, pp 183–193 | Cite as

Numerical determination of asymmetric periodic solutions

  • V. V. Markellos
  • A. A. Halioulias


A simple predictor-corrector procedure is described for the determination of ‘asymmetric’ periodic solutions of dynamical systems of two degrees of freedom. An application in the case of the Störmer problem is given. The computed periodic motions of the charged particle are of the open-path type.


Dynamical System Periodic Solution Charged Particle Periodic Motion Numerical Determination 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Hénon, M.: 1965,Ann. d'Ap. 28, 449.Google Scholar
  2. Markellos, V. V.: 1976,Astrophys. Space Sci. 43, 449.Google Scholar
  3. Markellos, V. V., Climopoulos, S., and Halioulias, A. A.: 1977,Celes. Mech., (in press).Google Scholar
  4. Message, J. P.: 1959,Astron. J. 66, 226.Google Scholar
  5. Roy, A. E. and Ovenden, M. W.: 1955,Monthly Notices Roy. Astron. Soc. 115, 297.Google Scholar
  6. Szebehely, V.: 1967, ‘Theory of Orbits’, Academic Press, New York.Google Scholar
  7. Zagouras, C. and Goudas, C. L.: 1973, in B. D. Tapley and V. Szebehely (eds.),Recent Advances in Dynamical Astromony, Reidel Publ. Co., Dordrecht.Google Scholar

Copyright information

© D. Reidel Publishing Company 1977

Authors and Affiliations

  • V. V. Markellos
    • 1
  • A. A. Halioulias
    • 2
  1. 1.Dept. of AstronomyUniversity of GlasgowScotland
  2. 2.School of PhysicsUniversity of NewcastleEngland

Personalised recommendations