Comparison of new nutation series with numerical integration

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth Motion, Earth Rotation, Equations Of Motion, Numerical Integration, Nutation, Angular Momentum, Rigid Structures, Runge-Kutta Method

Scientific paper

The nutation for the rigid earth, both in the low and the high frequencies, is computed by numerical integration using the basic equations of Kinoshita (1977). The results are compared against the new tables of the nutation for the rigid earth model in Kinoshita and Souchay (1990). Very small long period residuals are obtained, with a discrepancy of 0.06 mas sin Omega in longitude, -0.04 mas cos Omega in obliquity, without out-of-phase components. The total short-period residuals do not exceed 0.1 mas in longitude, 0.06 mas in obliquity. The results support the validity of the new tables.

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