Theory of the rotation of the rigid Earth
1997; EDP Sciences; Volume: 319; Issue: 1 Linguagem: Inglês
ISSN
1432-0746
AutoresP. Bretagnon, Patrick Rocher, J. L. Simon,
Tópico(s)Scientific Research and Discoveries
ResumoWe present the computation of the precession and nutation expressions built with the analytical theories of the motion of the Moon, the Sun and the planets of the Bureau des longitudes. We take into account the influence of the Moon, the Sun and all the planets on the potential of the Earth limited to Cj;0 for j from 2t o 5, C 2 ; 2 , S 2 ; 2 , C 3;k, S3;k for k from 1t o 3 andC4;1,S4;1. We have determined the analytical variations of the angles and! xing the equator with respect to the ecliptic J2000. We nd, in!, a secular term of 265:036as per year. We use for the constant of the general precession the Williams' (1994) value 50 00 :2877=year. The corresponding value of the dynamical flattening of the EarthHd =( 2 C A B ) =(2C )i s 0:0032737671.Inthisworkweusedatruncatedsolutionforthe motion of the Moon. We have compared our analytical solution with a numerical integration. The differences are smaller than 16as for and 8as for!.
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