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New Approach to the Planetary Theory

Published online by Cambridge University Press:  14 August 2015

Manabu Yuasa  and
Gen'ichiro Hori
Manabu Yuasa
Affiliation:
Department of Astronomy, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan
Gen'ichiro Hori
Affiliation:
Department of Astronomy, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan

Extract

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A new approach to the planetary theory is examined under the following procedure: 1) we use a canonical perturbation method based on the averaging principle; 2) we adopt Charlier's canonical relative coordinates fixed to the Sun, and the equations of motion of planets can be written in the canonical form; 3) we adopt some devices concerning the development of the disturbing function. Our development can be applied formally in the case of nearly intersecting orbits as the Neptune-Pluto system. Procedure 1) has been adopted by Message (1976).

Type
Part II: Planetary and Lunar Theories
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 69 - 72
Copyright
Copyright © Reidel 1979 

References

Charlier, C. L.: 1902, “Die Mechanik des Himmels”, Erster Band, pp. 234–237.Google Scholar
Message, P. J.: 1976, in “Long-Time Predictions in Dynamics”, ed. Szebehely, V. and Tapley, B. D. (D. Reidel Publishing Company), pp. 279–293.Google Scholar