RAY model (GOT99.2b
ocean loading model)
RAY Ocean tide model[4] is a long
wavelength adjustment of FES94.1
using TOPEX/POSEIDON data and
is given on a 0.5 by 0.5 degree grid.
FES94.1 Ocean tide model is a pure
hydrodynamic tide model tuned to fit tide
gauges globally. It has been calculated
on a finite element grid with very fine
resolution near the coast but the version
used here is given on a 0.5 by 0.5 degree
grid. GOT99.2b also becomes equal to
FES94.1 outside the 66 degree latitudes.
IAU 1980 nutation model
In 1979, J.Wahr and H.Kinoshita
introduced re-comprehensive calculation
for a practical nutation of the earth,
they considered the force generated
from earth’s solid tide to earth itself
--- deformation, nutation and rotation
rate changes, and at the same time, they
thought about the natural effect and
ellipse sphere delaminating effect in the
matter of three main layers of the earth.
They drew a conclusion in 1980, we
call it “IAU 1980 nutation theory”[5].
HERING nutation model
The HERRING nutation model[1] in this
software will compute the complete
KSV_1996_3 nutation series with the
associated corrections for planetary
nutation, the freely excited Free-
Core-Nutation (FCN), the precession
constant change and a rate of change
of obliquity. This model is designed
from several aspects as following:
1) The Souchay and Kinoshita Rigid
Earth KSRE95 nutation series;
2) Factors of the Retrograde Free Core Nutation (RFCN) resonance
factors from the nutation
formula the Mathews et al.
3) The effects of annual modulation
of geodetic precession;
4) A prograde annual nutation
has been estimated along with
the resonance coefficients;
5) The free RFCN mode was
estimated once every two years
for the data after 1984;
6) The new Simons et al., fundamental
arguments are used in this version.
MHB_2000 nutation model
VLBI and LLR observations[6] showed
that there are obvious defect existing
in the IAU 1976 precession model and
IAU 1980 nutation theory which have
been the criterion for a long time. For
example, these theoretical model doesn’t
include the changing rate of obliquity
in nutation that can’t be observed; the
precession rate exists the difference about
-3.0mas/yr between observation value
and adoption value (the adoption value
is too high); for nutation, the difference
between observation model and adoption
model exists about 20mas between each
top. In short, the difference between the
observations and models used in the past
has exceeded the achieved observation
precision far more. We need to get the
nutation theory with including ocean tide’s
and atmosphere’s non-rigid body and all
in the order of magnitude of 0.1mas level
known effect, and get the nutation series
reaching the level of 5mas new rigid body
earth. Based on many years of research,
IAU 2000 convention[7] decided that the
newly IAU 2000A precession-nutation
model, that is MHB_2000 model (up to
the level of the accuracy of 0.2mas) and
IAU 2000B precession-nutation model (up
to the level of the accuracy of 1mas) will
replace the IAU 1976 precession model
and IAU 1980 nutation theory. Improved
precession rate, obliquity nutation
changing rate, as well as the Celestial pole
offsets consistent with newly precessionnutation
model on J2000.0 epoch will
be given in IERS 2003 convention.
MHB_2000 model[8] was proposed
by Mathews, and it was developed on the basis of setting the problem of
linear dynamic equation for wobbly
nutation. It uses the estimated value of
7 parameters in the theory, obtains one
newly precession-nutation VLBI data
sequence in the theory of least squares.
This nutation sequence depends on
rigid earth nutation sequence found
by Souchay (1999). It explains the
change of geodynamical ellipticity
implied by the observing correction of
equator lunar-solar precession by the
multiplier of 1.000012249. The new
model contains the deviation between
reference frames, geodetic precession
and geodetic nutation. The Free Core
Nutation (FCN) can’t be strictly forecast,
so this model doesn’t include it. New
precession-nutation model avoids the
artificial separation in precession and
nutation, but the precession model and
nutation model is used separately in the
system based on the spring equinox.