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J/A+A/329/329 SMART97, rigid Earth rotation new solution (Bretagnon+ 1998)
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SMART97: a new solution for the rotation of the rigid Earth
Bretagnon P., Francou G., Rocher P., Simon J.L.
<Astron. Astrophys. 329, 329 (1998)>
=1998A&A...329..329B (SIMBAD/NED BibCode)
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ADC_Keywords: Earth ; Positional data
Keywords: astrometry, celestial mechanics, Earth
Description:
The Earth rotation solution SMART97 (Solution du Mouvement de l'Axe de
Rotation de la Terre) is an analytical solution of the Earth rotation
in the rigid case. It gives the expressions of precession-nutation and
rotation of the Earth for the 3 Euler angles {psi}, {omega}, {phi} as
well as for the quantities p, {epsilon}, {chi}, and the sidereal time.
For the axis of figure (fig), these 7 quantities are given in the
dynamical system (dyn) and in the kinematical system (kin). SMART97
also gives the variables {psi} and {omega}, in the dynamical system,
for the differences (axis of figure - axis of rotation) (rot) and
(axis of figure - axis of the angular momentum) (ang). The accuracy of
the solution is better than 2.2 microarcseconds for all these
variables over 20000 days, between 1968 and 2023. A program EXAMPLE
(Fortran 77) is provided which makes use of the subroutine SMART97
which substitutes the time in the series of the solutions SMART97.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
smart97.doc 79 223 Notice for use of SMART97 files
smart97.f 75 50 Fortran77 subroutine SMART97 (time substitution)
example.f 75 144 Fortran77 program example of use of SMART97
smart97.chk 98 57 Results of substitution of time in SMART97 series
figdyn97.psi 140 4938 axis of figure in the dynamical reference system,
variable {psi}
figdyn97.ome 140 4388 axis of figure in the dynamical reference system,
variable {omega}
figdyn97.phi 140 4763 axis of figure in the dynamical reference system,
variable {phi}
figdyn97.p 140 4929 axis of figure in the dynamical reference system,
variable p
figdyn97.eps 140 4382 axis of figure in the dynamical reference system,
variable {epsilon}
figdyn97.chi 140 244 axis of figure in the dynamical reference system,
variable {chi}
figdyn97.sid 140 4766 axis of figure in the dynamical reference system,
variable sidereal time
figkin97.psi 140 4938 axis of figure in the kinematical reference system,
variable {psi}
figkin97.ome 140 4388 axis of figure in the kinematical reference system,
variable {omega}
figkin97.phi 140 4763 axis of figure in the kinematical reference system,
variable {phi}
figkin97.p 140 4929 axis of figure in the kinematical reference system,
variable p
figkin97.eps 140 4382 axis of figure in the kinematical reference system,
variable {epsilon}
figkin97.chi 140 244 axis of figure in the kinematical reference system,
variable {chi}
figkin97.sid 140 4766 axis of figure in the kinematical reference system,
variable sidereal time
rotdyn97.psi 140 1359 (axis of figure - axis of rotation)
in the dynamical reference system, variable {psi}
rotdyn97.ome 140 1465 (axis of figure - axis of rotation) in the
dynamical reference system, variable {omega}
angdyn97.psi 140 1358 (axis of figure - axis of the angular momentum)
in the dynamical reference system, variable {psi}
angdyn97.ome 140 1462 (axis of figure - axis of the angular momentum) in
the dynamical reference system, variable {omega}
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See also:
VI/63 : Earth Orbit, Precession and Insolation -20Myr to +10Myr (Laskar+ 1993)
J/A+A/312/1017 : Coefficients of rigid Earth nutation. I. (Souchay+, 1996)
J/AJ/110/1420 : Nutation of the Earth (Williams 1995)
Byte-by-byte Description of file: rotdyn97.*
Byte-by-byte Description of file: angdyn97.*
Byte-by-byte Description of file: figkin97.*
Byte-by-byte Description of file: figdyn97.*
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Bytes Format Units Label Explanations
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1 I1 --- ia code of the axis (1)
2 I1 --- ib code of the system (2)
3 I1 --- ic code of the variable (3)
4- 5 I2 --- k degree k of time variable t
6- 10 I5 --- n rank of the term in a series
11- 13 I3 --- r1 coefficient r of argument
14- 16 I3 --- r2 coefficient r of argument
17- 19 I3 --- r3 coefficient r of argument
20- 22 I3 --- r4 coefficient r of argument
23- 25 I3 --- r5 coefficient r of argument
26- 28 I3 --- r6 coefficient r of argument
29- 31 I3 --- r7 coefficient r of argument
32- 34 I3 --- r8 coefficient r of argument
35- 37 I3 --- r9 coefficient r of argument
38- 40 I3 --- r10 coefficient r of argument
41- 43 I3 --- r11 coefficient r of argument
44- 46 I3 --- r12 coefficient r of argument
47- 61 F15.4 --- S amplitude S (in microarcseconds/[(100yr)^k^])
62- 85 F24.4 --- K amplitude C (in microarcseconds/[(100yr)^k^)])
86-109 F24.4 --- A amplitude a
110-122 F13.10 rad B phase b
123-140 F18.8 10-2rad/yr C frequency c (in rad/100yr)
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Note (1): The codes of the axis are :
ia = 1 for the axis of figure
2 for (axis of figure - axis of rotation)
3 for (axis of figure - axis of the angular momentum)
Note (2): The codes of the system are :
ib = 1 for the dynamical reference frame
2 for the kinematical reference frame
Note (3): The codes of the variable are :
ic = 1 for psi
2 for omega
3 for phi
4 for p
5 for epsilon
6 for chi
7 for the sidereal time
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Acknowledgements: Pierre Bretagnon <pierre@bdl.fr>
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(End) Patricia Bauer [CDS] 23-Mar-1998