The geophysical approach towards the nutation of a rigid Earth

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Stellar Dynamics, Reference System, Earth

Scientific paper

This paper presents the new and complete series named H96NUT for the nutation of a rigid Earth model. In contrast to the traditional computation method, the nutation is calculated here indirectly via the new and highly accurate tidal potential development recently given by te[Hartmann & Wenzel (1995a,b)]{HaWe95a}, (HW95). All contributions up to 0.45 mu as were taken into account leading to 699 nutation terms separated after origin (or 607 terms summed according to the same arguments). These are: the main terms due to the Moon, the Sun and the planets, indirect planetary effects, effects due to the triaxiality of the Earth, effects due to the J_3 and J_4 geopotential, the geodesic nutation and second order terms. Nutation series for the angular momentum axis, the figure axis and the rotation axis are derived; they are in good agreement with those given in te[Roosbeek & Dehant (1997)]{RoDe97} with exception of several terms whose cause is discussed. Modern constants (like the precession constant) have been used throughout. The value for the dynamical ellipticity H_dyn, which is compatible with these computations, is H_dyn = 3.273 792 489 10(-3) . In addition, some other values related with precession are also deduced from the tidal potential. One main advantage of this work is that a completely independent analytical computation method has been established which is extensively described here (see also te[Hartmann (1996)]{Hart96} for more details) and which provides - besides a numerical calculation - a useful validation of existing nutation series.

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