Precession/Nutation Solution Consistent With

Details Precession/Nutation Solution Consistent With Precession/Nutation Solution Consistent With

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd..16e..48p&link_type=abstract

Nomenclature, Precession and New Models in Fundamental Astronomy, 26th meeting of the IAU, Joint Discussion 16, 22-23 August 200

Astronomy and Astrophysics

Astronomy

Scientific paper

Institute of Applied Astronomy of RAS, St.Petersburg, Russia In the present paper 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). Hence, the theory of the Earth's rotation is presented by means of the series in powers of the evolutionary variables with quasi-periodic coefficients. The behaviour of the evolutionary variables is governed by an autonomous secular system. For the Poisson equations of the Earth's rotation the trigonometric solution of the secular system is of interest to study evolution of motion and rotation (in astronomical climatology, for instance).Our main conclusion is that there is no principal difficulty to find solution of the Earth's rotation problem consistent with the general planetary theory (V.A.Brumberg, 1995) adequate to the present observation accuracy. For this purpose the general case of the rigid-body Earth's rotation adequate to SMART solution (Bretagnon et al., 1998).should be considered. All actual calculations were performed using a Poisson series processor (Ivanova, 1995). References 1. Bretagnon P., Francou G., Rocher P., and Simon J.L.: 1998,`SMART97: A new solution for the rotation of the rigid Earth', Astron. Astrophys, 329, 329 2. Brumberg V.A.: 1995, `Analytical Techniques of Celestial Mechanics', Springer, Heidelberg 3. Ivanova T.V.: 1996, `PSP: A New Poisson Series Processor',In: Dynamics, Ephemerides and Astrometry of the Solar System (eds.S. Ferraz-Mello, B. Morando and J.-E. Arlot), Kluwer, 283

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