Iteration Techniques of Perturbation Theory

  • Victor A. Brumberg


This section deals with iteration versions of the classical methods for determining perturbations in rectangular coordinates elaborated by Broucke (1969). Without pretending to construct long-term theories of motion, these methods do not involve the separation of short- and long-period perturbations and removal of secular terms. However, such methods, most particularly in the iteration version, are very convenient for fast constructing short-term theories aimed at representing motion over comparatively short intervals of time (say, several periods of revolution around the central body) but with a high level of accuracy.


Perturbation Theory Iteration Technique Picard Iteration Keplerian Motion Iteration Version 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Victor A. Brumberg
    • 1
  1. 1.Russian Academy of SciencesInstitute of Applied AstronomySt. PetersburgRussia

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