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Astron. Astrophys. 329, 329-338 (1998)

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SMART97: a new solution for the rotation of the rigid Earth

P. Bretagnon, G. Francou, P. Rocher and J.L. Simon

Bureau des longitudes, URA 707 du CNRS, 77, Avenue Denfert-Rochereau, F-75014 Paris, France

Received 5 August 1997 / Accepted 4 September 1997


The solution SMART97 (Solution du Mouvement de l'Axe de Rotation de la Terre) is an analytical solution of the motion of the axis of rotation of the Earth, resulting from an improvement of the theory presented in Bretagnon et al. (1997). This solution is built with the analytical theories of the motion of the Moon, the Sun and the planets of the Bureau des longitudes. The VLBI observations reach an accuracy of 20 [FORMULA] as for the motion of the axis of the rotation of the Earth and it is necessary to obtain a theory of the rotation of the rigid Earth with a precision of about 1 [FORMULA] as to reveal the effects of the non-rigidity of the Earth by comparison to observation. The precision of SMART97, given by comparison with a numerical integration run over 150 yr (1900-2050), is better than 1.5 [FORMULA] as for [FORMULA] and [FORMULA] and 0.5 [FORMULA] as for [FORMULA]. We have also compared our solution with a numerical integration using DE403; the differences do not exceed 12 [FORMULA] as over 1900-2050 and 2.2 [FORMULA] as over 1970-2020.

Key words: astrometry – celestial mechanics – Earth

© European Southern Observatory (ESO) 1998

Online publication: November 24, 1997