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A Precise Determination of Some Critical Terms in the Solar System

Published online by Cambridge University Press:  14 August 2015

Jean Chapront  and
Rudolf Dvorak
Jean Chapront
Affiliation:
Bureau des Longitudes, Paris, France and Astronomisches Institut der Universität Graz, Austria
Rudolf Dvorak
Affiliation:
Bureau des Longitudes, Paris, France and Astronomisches Institut der Universität Graz, Austria

Abstract

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A new form to determine the contribution of some special small divisors in perturbation theory is presented in this paper. We can avoid to calculate all the kλ+k′λ as it has to be done normally (λ and λ′ designate the mean longitudes of the two regarded planets). For a chosen k and k′ we calculate with a very high precision the contribution to the perturbation of the elements with the aid of the Hansen's coefficients.

Type
Part II: Planetary and Lunar Theories
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 91 - 93
Copyright
Copyright © Reidel 1979 

References

Abu-El-Ata, N., Chapront, J. 1974, Astron. Astrophys. 38, 57 Google Scholar
Brumberg, V. 1967, Bull. Inst. Theor. Astron. TII, 125 Google Scholar
Chapront, J., Bretagnon, P., Mehl, M. 1975, Celestial Mechanics 11, 379 Google Scholar
Dvorak, R. 1978, Dynamics of Planets and Satellites and Theories of their Motion, ed. Szebehely, V. G. (Dordrecht: Reidel) p. 57 Google Scholar