UT1 definitions in IAU 2000 (Capitaine+, 2003)

Details UT1 definitions in IAU 2000 (Capitaine+, 2003) UT1 definitions in IAU 2000 (Capitaine+, 2003)

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003ycat..34061135c&link_type=abstract

VizieR On-line Data Catalog: J/A+A/406/1135. Originally published in: 2003A&A...406.1135C

Physics

Earth, Ephemerides

Scientific paper

The expressions for the X and Y coordinates of the CIP in the GCRS and the quantity s(t)+XY/2 are based on the IAU2000A precession-nutation model. They are in the form : polynomial part + non-polynomial part
In the non-polynomial part, ARG being for various combination of the fundamental arguments of the nutation theory)
The expressions for the fundamental arguments appearing in columns 6 to 10 (luni-solar part) and in columns 11 to 19 (planetary part) are those of the IERS Conventions 2000
X expression (tablea.dat):
Polynomial part (unit microarcsecond) -16616.99 + 2004191742.88t - 427219.05t2 - 198620.54t3 - 46.05t4 + 5.98t5
Non-polynomial part (unit microarcsecond) Sumi[a{s,0})i*sin(ARG) + a{c,0})_i*cos(ARG)] + Sumi)j=1,4 [a{s,j})i*tj*sin(ARG) + a{c,j})_i*cos(ARG)]*tj]
Y expression (tableb.dat):
Polynomial part (unit microarcsecond) -6950.78 - 25381.99t - 22407250.99t2 + 1842.28t3 + 1113.06t4 + 0.99t5
Non-polynomial part (unit microarcsecond) Sumi[b{c,0})i*cos(ARG) + b{s,0})_i*sin(ARG)] + Sumi)j=1,4 [b{c,j})i*tj*cos(ARG) + b{s,j})_i*sin(ARG)]*tj]
s + XY/2 expression (tablec.dat):
Polynomial part (unit microarcsecond) 94.0 + 3808.35t - 119.94t2 - 72574.09t3 + 27.70t4 + 15.61t5
Non-polynomial part (unit microarcsecond) Sumi[C{s,0})i*sin(ARG) + C{c,0})_i*cos(ARG)] + Sumi)j=1,4 [C{s,j})i*tj*sin(ARG) + C{c,j})_i*cos(ARG)]*tj]
Updated Table (12/11/2003) for ensuring continuity of UT1 on 1st January 2003 Cutoff (0.1 microarcsecond and periods less than 500 years)
GST expression (tablef.dat):
Expression ensuring continuity of UT1 on 1st January 2003
GST = Theta(UT1) + polynomial part + DeltaPsi*cos(epsilon_A) + non-polynomial part
Theta(UT1) = 2*Pi*(0.7790572732640 + 1.00273781191135448.Tu) where Tu = Julian UT1 date - 2451545.0, and UT1 = UTC + (UT1 - UTC)
Polynomial part (unit arcsecond) 0.014506 + 4612.15739966t + 1.39667721t2 - 0.00009344t3 + 0.00001882t4 DeltaPsi*cos(epsilon_A) = classical expression for the equation of the
Non-polynomial part (unit microarcsecond) Sumi[C{s,0})i*sin(ARG) + C{c,0})_i*cos(ARG)] + Sumi[C{s,1})i*t*sin(ARG) + C{c,1})_i*cos(ARG)]*t]
Cutoff (0.1 microarcsecond and periods less than 500 years)
(4 data files).

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