Celestial mechanics

, Volume 28, Issue 1–2, pp 155–169 | Cite as

Construction of a consistent semianalytic theory of a planetary or moon orbiter perturbed by a third body

  • E. A. Roth
Article

Abstract

The third body perturbation of an orbiter of a planet or moon is considered. A very convenient form of the Lagrange equations is given allowing an easy derivation of the various terms of the expansion of the perturbed elements. A careful analysis of the order of magnitude of these terms indicates which ones are required for a consistent theory. It follows that in many practical cases the main term of the disturbing function has to be carried to the second order of the perturbation theory.

Keywords

Perturbation Theory Careful Analysis Lagrange Equation Practical Case Main Term 
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References

  1. Brouwer, D. and Clemence, G. M.: 1961,Celestrial Mechanics, New York.Google Scholar
  2. Erdélyi, A.: 1953,Higher Transcendantal Functions, Vol. I, New York.Google Scholar
  3. Giacaglia, G. E. O.: 1972,Perturbation Methods in Non-Linear Systems, New York.Google Scholar
  4. Kaufman, B.: 1981,Acta Astronautica,8 (5–6), 611.Google Scholar
  5. Roth, E. A.: 1979,ZAMP 30(2), 315.Google Scholar

Copyright information

© D. Reidel Publishing Co 1982

Authors and Affiliations

  • E. A. Roth
    • 1
  1. 1.European Space Operations CentreDarmstadt

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