Theory of the rotation of the rigid Earth.

Details Theory of the rotation of the rigid Earth. Theory of the rotation of the rigid Earth.

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...319..305b&link_type=abstract

Astronomy and Astrophysics, v.319, p.305-317

Astronomy and Astrophysics

Astrophysics

53

Astrometry, Celestial Mechanics, Reference Systems, Earth

Scientific paper

We 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 C_j,0_ for j from 2 to 5, C_2,2_, S_2,2_, C_3,k_, S_3,k_ for k from 1 to 3 and C_4,1_, S_4,1_. We have determined the analytical variations of the angles ψ and ω fixing the equator with respect to the ecliptic J2000. We find, in ω, a secular term of -265.036μas/yr. We use for the constant of the general precession the Williams' (1994) value 50.2877"/year. The corresponding value of the dynamical flattening of the Earth H_d_=(2C-A-B)/(2C) is 0.0032737671. In this work we used a truncated solution for the motion of the Moon. We have compared our analytical solution with a numerical integration. The differences are smaller than 16μas for ψ and 8μas for ω.

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