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Iteration Techniques of Perturbation Theory

  • Victor A. Brumberg

Abstract

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.

Keywords

Perturbation Theory Iteration Technique Picard Iteration Keplerian Motion Iteration Version 
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.

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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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