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New Approach to the Earth’s Rotation Problem Consistent with the General Planetary Theory

Published online by Cambridge University Press:  12 April 2016

V.A. Brumberg  and
T. V. Ivanova
V.A. Brumberg
Affiliation:
Bureau des Longitudes, Paris, France
T. V. Ivanova
Affiliation:
Institute of Theoretical Astronomy, Russian Acad, of Sciences St.-Petersburg, Russia

Abstract

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The equations of the translatory motion of the major planets and the Moon and the Poisson equations of the Earth’s rotation in Euler parameters are reduced to the secular system describing the evolution of the planetary and lunar orbits (independent of the Earth’s rotation) and the evolution of the Earth’s rotation (depending on the planetary and lunar evolution).

Type
Rotation of Solar System Objects
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 301 - 306
Copyright
Copyright © Kluwer 1997

References

Brumberg, V.A.: 1995, Analytical Techniques of Celestial Mechanics, Springer, Heidelberg.Google Scholar
Brumberg, V.A. and Ivanova, T.V.: 1985, “On the solution of the secular system of the equations of motion of the Moon in trigonometric form”, Bull. ITA 15, 424 (in Russian).Google Scholar
Ivanova, T.V.: 1996, “PSP: a new Poisson Series Processor”, in: Dynamics, Ephemerides and Astrometry of the Solar System ( Ferraz-Mello, S., Morando, B., Arlot, J.E., eds), Kluwer, Dordrecht, p.283. Google Scholar
Maciejewski, A.J.: 1985, “Hamiltonian formalism for Euler parameters”, Celest. Mech. 37, 47.Google Scholar
Smart, W.M.: 1953, Celestial Mechanics, Longmans, London.Google Scholar
Tisserand, F.: 1891, Tratté de Mécanique Céleste, t. 2, Gauthier-Villars, Paris.Google Scholar