Astron. Astrophys. Suppl. Ser. 134, 271-286
T. Hartmann1 -
M. Soffel2 -
C. Ron2
Send offprint request: M. Soffel
1 - Theoretische Astrophysik der Universität Tübingen,
Auf der Morgenstelle 10,
D-72076 Tübingen,
Germany
2 -
Institut für Planetare Geodäsie,
Lohrmann Observatorium,
Mommsenstraße 13,
D-01062 Dresden,
Germany
Received January 21; accepted August 12, 1998
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
Hartmann & Wenzel (1995a,b),
(HW95). All contributions up to 0.45 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 J3 and J4 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
Roosbeek & Dehant (1997)
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
, which is
compatible with these computations, is
.
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 Hartmann (1996)
for more details) and which provides
- besides a numerical calculation - a useful validation
of existing nutation series.
Key words: celestial mechanics, stellar dynamics -- reference system -- Earth
Copyright The European Southern Observatory (ESO)