SUBROUTINE DEHANTTIDEINEL(XSTA,YR,MONTH,DAY,FHR,XSUN,XMON,DXTIDE)
*+
* - - - - - - - - - - - - - - -
* D E H A N T T I D E I N E L
* - - - - - - - - - - - - - - -
*
* This routine is part of the International Earth Rotation and
* Reference Systems Service (IERS) Conventions software collection.
*
* This subroutine computes the tidal corrections of station displacements
* caused by lunar and solar gravitational attraction (see References).
* The computations are calculated by the following steps:
*
* Step 1): General degree 2 and degree 3 corrections + CALL ST1IDIU
* + CALL ST1ISEM + CALL ST1L1.
*
* Step 2): CALL STEP2DIU + CALL STEP2LON
*
* It has been decided that the Step 3 non-correction for permanent tide
* would not be applied in order to avoid a jump in the reference frame.
* This Step 3 must be added in order to get the non-tidal station position
* and to conform with the IAG Resolution.
*
* In general, Class 1, 2, and 3 models represent physical effects that
* act on geodetic parameters while canonical models provide lower-level
* representations or basic computations that are used by Class 1, 2, or
* 3 models.
*
* Status: Class 1
*
* Class 1 models are those recommended to be used a priori in the
* reduction of raw space geodetic data in order to determine
* geodetic parameter estimates.
* Class 2 models are those that eliminate an observational
* singularity and are purely conventional in nature.
* Class 3 models are those that are not required as either Class
* 1 or 2.
* Canonical models are accepted as is and cannot be classified as a
* Class 1, 2, or 3 model.
*
* Given:
* XSTA d(3) Geocentric position of the IGS station (Note 1)
* XSUN d(3) Geocentric position of the Sun (Note 2)
* XMON d(3) Geocentric position of the Moon (Note 2)
* YR i Year (Note 3)
* MONTH i Month (Note 3)
* DAY i Day of Month (Note 3)
* FHR d Hour in the day (Note 4)
*
* Returned:
* DXTIDE d(3) Displacement vector (Note 5)
*
* Notes:
*
* 1) The IGS station is in ITRF co-rotating frame. All coordinates,
* X, Y, and Z, are expressed in meters.
*
* 2) The position is in Earth Centered Earth Fixed (ECEF) frame. All
* coordinates are expressed in meters.
*
* 3) The values are expressed in Coordinated Universal Time (UTC).
*
* 4) The fractional hours in the day is computed as the hour + minutes/60.0
* + sec/3600.0. The unit is expressed in Universal Time (UT).
*
* 5) The displacement vector is in the geocentric ITRF. All components are
* expressed in meters.
*
* Called:
* SPROD Finds the scalar product and unit vector of two vectors
* ZERO_VEC8 Returns the zero vector
* ST1IDIU Corrects for the out-of-phase part of Love numbers
* for the diurnal band
* ST1ISEM Same as above for the semi-diurnal band
* ST1L1 Corrects for the latitude dependence of Love numbers
* CAL2JD Computes Julian Date from Gregorian calendar date
* DAT Computes the difference TAI-UTC
* STEP2DIU Computes in-phase and out-of-phase corrections in
* the diurnal band
* STEP2LON Same as above for the long period band
*
* Test case:
* given input: XSTA(1) = 4075578.385D0 meters
* XSTA(2) = 931852.890D0 meters
* XSTA(3) = 4801570.154D0 meters
* XSUN(1) = 137859926952.015D0 meters
* XSUN(2) = 54228127881.4350D0 meters
* XSUN(3) = 23509422341.6960D0 meters
* XMON(1) = -179996231.920342D0 meters
* XMON(2) = -312468450.131567D0 meters
* XMON(3) = -169288918.592160D0 meters
* YR = 2009
* MONTH = 4
* DAY = 13
* FHR = 0.00D0 seconds
*
* expected output: DXTIDE(1) = 0.7700420357108125891D-01 meters
* DXTIDE(2) = 0.6304056321824967613D-01 meters
* DXTIDE(3) = 0.5516568152597246810D-01 meters
*
* References:
*
* Groten, E., 2000, Geodesists Handbook 2000, Part 4,
* http://www.gfy.ku.dk/~iag/HB2000/part4/groten.htm. See also
* ''Parameters of Common Relevance of Astronomy, Geodesy, and
* Geodynamics," J. Geod., 74, pp. 134-140
*
* Mathews, P. M., Dehant, V., and Gipson, J. M., 1997, ''Tidal station
* displacements," J. Geophys. Res., 102(B9), pp. 20,469-20,477
*
* Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
* IERS Technical Note No. 36, BKG (2010)
*
* Pitjeva, E. and Standish, E. M., 2009, ''Proposals for the masses
* of the three largest asteroids, the Moon-Earth mass ratio and the
* Astronomical Unit," Celest. Mech. Dyn. Astr., 103, pp. 365-372
*
* Ries, J. C., Eanes, R. J., Shum, C. K. and Watkins, M. M., 1992,
* ''Progress in the Determination of the Gravitational Coefficient
* of the Earth," Geophys. Res. Lett., 19(6), pp. 529-531
*
* Revisions:
* 1996 March 23 V. Dehant Original code
* P. M. Mathews
* J. Gipson
* 2000 May 17 V. Dehant Last modifications
* P. M. Mathews
* 2006 February 06 J. Ray Header comments modified to clarify
* input/output units and systems
* 2006 February 06 J. Ray Subroutine DUTC modified for leap
* second on 2006.0 and to correct
* do 5 i=1,87 from 84 to 87
* 2006 August 31 G. Petit Correct DUTC for dates after 2007
* 2007 June 20 H. Manche Modified DUTC to correct past mistake
* and corrected DE line in subroutine
* STEP2DIU
* 2007 October 23 H. Manche Replace subroutines DUTC and FJLDY with
* G. Petit SOFA subroutines iau_CAL2JD and iau_DAT
* and correct time arguments of subroutine
* STEP2DIU
* 2009 February 19 G. Petit Update routine iau_DAT for 2009.0 leap
* second
* 2009 August 06 B.E. Stetzler Initial standardization of code
* 2009 August 07 B.E. Stetzler Updated MASS_RATIO_SUN,
* MASS_RATIO_MOON and RE to CBEs and
* provided a test case
* 2009 August 07 B.E. Stetzler Capitalized all variables for Fortran
* 77 compatibility
* 2009 September 01 B.E. Stetzler Removed 'iau_' from redistributed SOFA
* subroutines
*-----------------------------------------------------------------------
IMPLICIT NONE
INTEGER STATUT,YR,MONTH,DAY,I,J
DOUBLE PRECISION XSTA(3),XSUN(3),XMON(3),DXTIDE(3),XCORSTA(3),
. FHR,H20,L20,H3,L3,H2,L2,SCS,RSTA,SCM,RSUN,RMON,
. SCSUN,SCMON,COSPHI,P2SUN,P2MON,P3SUN,P3MON,
. X2SUN,X2MON,X3SUN,X3MON,MASS_RATIO_SUN,
. MASS_RATIO_MOON,RE,FAC2SUN,FAC2MON,FAC3SUN,
. FAC3MON,JJM0,JJM1,DTT,T,PI,SINPHI,COSLA,SINLA,
. DR,DN
PARAMETER ( PI = 3.1415926535897932384626433D0 )
*----------------------------------------------------------------------
* NOMINAL SECOND DEGREE AND THIRD DEGREE LOVE NUMBERS AND SHIDA NUMBERS
*----------------------------------------------------------------------
DATA H20/0.6078D0/,L20/0.0847D0/,H3/0.292D0/,L3/0.015D0/
*----------------------------------------------------------------------
* SCALAR PRODUCT OF STATION VECTOR WITH SUN/MOON VECTOR
*----------------------------------------------------------------------
CALL SPROD(XSTA,XSUN,SCS,RSTA,RSUN)
CALL SPROD(XSTA,XMON,SCM,RSTA,RMON)
SCSUN=SCS/RSTA/RSUN
SCMON=SCM/RSTA/RMON
*----------------------------------------------------------------------
* COMPUTATION OF NEW H2 AND L2
*----------------------------------------------------------------------
COSPHI=DSQRT(XSTA(1)**2+XSTA(2)**2)/RSTA
H2=H20-0.0006D0*(1D0-3D0/2D0*COSPHI**2)
L2=L20+0.0002D0*(1D0-3D0/2D0*COSPHI**2)
* P2 term
P2SUN=3D0*(H2/2D0-L2)*SCSUN**2-H2/2D0
P2MON=3D0*(H2/2D0-L2)*SCMON**2-H2/2D0
* P3 term
P3SUN=5D0/2D0*(H3-3D0*L3)*SCSUN**3+3D0/2D0*(L3-H3)*SCSUN
P3MON=5D0/2D0*(H3-3D0*L3)*SCMON**3+3D0/2D0*(L3-H3)*SCMON
*----------------------------------------------------------------------
* TERM IN DIRECTION OF SUN/MOON VECTOR
*----------------------------------------------------------------------
X2SUN=3D0*L2*SCSUN
X2MON=3D0*L2*SCMON
X3SUN=3D0*L3/2D0*(5D0*SCSUN**2-1D0)
X3MON=3D0*L3/2D0*(5D0*SCMON**2-1D0)
*----------------------------------------------------------------------
* FACTORS FOR SUN/MOON USING IAU CURRENT BEST ESTIMATES (SEE REFERENCES)
*----------------------------------------------------------------------
MASS_RATIO_SUN=332946.0482D0
MASS_RATIO_MOON=0.0123000371D0
RE=6378136.6D0
FAC2SUN=MASS_RATIO_SUN*RE*(RE/RSUN)**3
FAC2MON=MASS_RATIO_MOON*RE*(RE/RMON)**3
FAC3SUN=FAC2SUN*(RE/RSUN)
FAC3MON=FAC2MON*(RE/RMON)
* TOTAL DISPLACEMENT
DO 10 I=1,3
DXTIDE(I)=FAC2SUN*( X2SUN*XSUN(I)/RSUN + P2SUN*XSTA(I)/RSTA ) +
. FAC2MON*( X2MON*XMON(I)/RMON + P2MON*XSTA(I)/RSTA ) +
. FAC3SUN*( X3SUN*XSUN(I)/RSUN + P3SUN*XSTA(I)/RSTA ) +
. FAC3MON*( X3MON*XMON(I)/RMON + P3MON*XSTA(I)/RSTA )
10 CONTINUE
CALL ZERO_VEC8(XCORSTA)
*+---------------------------------------------------------------------
* CORRECTIONS FOR THE OUT-OF-PHASE PART OF LOVE NUMBERS (PART H_2^(0)I
* AND L_2^(0)I )
*----------------------------------------------------------------------
* FIRST, FOR THE DIURNAL BAND
CALL ST1IDIU(XSTA,XSUN,XMON,FAC2SUN,FAC2MON,XCORSTA)
DO 11 I=1,3
DXTIDE(I)=DXTIDE(I)+XCORSTA(I)
11 CONTINUE
* SECOND, FOR THE SEMI-DIURNAL BAND
CALL ST1ISEM(XSTA,XSUN,XMON,FAC2SUN,FAC2MON,XCORSTA)
DO 12 I=1,3
DXTIDE(I)=DXTIDE(I)+XCORSTA(I)
12 CONTINUE
*+---------------------------------------------------------------------
* CORRECTIONS FOR THE LATITUDE DEPENDENCE OF LOVE NUMBERS (PART L^(1) )
*----------------------------------------------------------------------
CALL ST1L1(XSTA,XSUN,XMON,FAC2SUN,FAC2MON,XCORSTA)
DO 13 I=1,3
DXTIDE(I)=DXTIDE(I)+XCORSTA(I)
13 CONTINUE
* CONSIDER CORRECTIONS FOR STEP 2
*+---------------------------------------------------------------------
* CORRECTIONS FOR THE DIURNAL BAND:
*
* FIRST, WE NEED TO KNOW THE DATE CONVERTED IN JULIAN CENTURIES
*
* 1) CALL THE SUBROUTINE COMPUTING THE JULIAN DATE
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
CALL CAL2JD ( YR, MONTH, DAY, JJM0, JJM1, STATUT )
T=((JJM0-2451545.0D0)+JJM1+FHR/24.0D0)/36525D0
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* 2) CALL THE SUBROUTINE COMPUTING THE CORRECTION OF UTC TIME
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
CALL DAT ( YR, MONTH, DAY, FHR, DTT, STATUT )
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
DTT = DTT + 32.184D0
* CONVERSION OF T IN TT TIME
T=T+DTT/(3600.0D0*24.0D0*36525D0)
* SECOND, WE CAN CALL THE SUBROUTINE STEP2DIU, FOR THE DIURNAL BAND
* CORRECTIONS, (in-phase and out-of-phase frequency dependence):
CALL STEP2DIU(XSTA,FHR,T,XCORSTA)
DO 14 I=1,3
DXTIDE(I)=DXTIDE(I)+XCORSTA(I)
14 CONTINUE
* CORRECTIONS FOR THE LONG-PERIOD BAND,
* (in-phase and out-of-phase frequency dependence):
CALL STEP2LON(XSTA,T,XCORSTA)
DO 15 I=1,3
DXTIDE(I)=DXTIDE(I)+XCORSTA(I)
15 CONTINUE
* CONSIDER CORRECTIONS FOR STEP 3
*----------------------------------------------------------------------
* UNCORRECT FOR THE PERMANENT TIDE
*
* SINPHI=XSTA(3)/RSTA
* COSPHI=DSQRT(XSTA(1)**2+XSTA(2)**2)/RSTA
* COSLA=XSTA(1)/COSPHI/RSTA
* SINLA=XSTA(2)/COSPHI/RSTA
* DR=-DSQRT(5D0/4D0/PI)*H2*0.31460D0*(3D0/2D0*SINPHI**2-0.5D0)
* DN=-DSQRT(5D0/4D0/PI)*L2*0.31460D0*3D0*COSPHI*SINPHI
* DXTIDE(1)=DXTIDE(1)-DR*COSLA*COSPHI+DN*COSLA*SINPHI
* DXTIDE(2)=DXTIDE(2)-DR*SINLA*COSPHI+DN*SINLA*SINPHI
* DXTIDE(3)=DXTIDE(3)-DR*SINPHI -DN*COSPHI
*-----------------------------------------------------------------------
RETURN
* Finished.
*+----------------------------------------------------------------------
*
* Copyright (C) 2008
* IERS Conventions Center
*
* ==================================
* IERS Conventions Software License
* ==================================
*
* NOTICE TO USER:
*
* BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING TERMS AND CONDITIONS
* WHICH APPLY TO ITS USE.
*
* 1. The Software is provided by the IERS Conventions Center ("the
* Center").
*
* 2. Permission is granted to anyone to use the Software for any
* purpose, including commercial applications, free of charge,
* subject to the conditions and restrictions listed below.
*
* 3. You (the user) may adapt the Software and its algorithms for your
* own purposes and you may distribute the resulting "derived work"
* to others, provided that the derived work complies with the
* following requirements:
*
* a) Your work shall be clearly identified so that it cannot be
* mistaken for IERS Conventions software and that it has been
* neither distributed by nor endorsed by the Center.
*
* b) Your work (including source code) must contain descriptions of
* how the derived work is based upon and/or differs from the
* original Software.
*
* c) The name(s) of all modified routine(s) that you distribute
* shall be changed.
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* d) The origin of the IERS Conventions components of your derived
* work must not be misrepresented; you must not claim that you
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*
* e) The source code must be included for all routine(s) that you
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*
* 4. In any published work produced by the user and which includes
* results achieved by using the Software, you shall acknowledge
* that the Software was used in obtaining those results.
*
* 5. The Software is provided to the user "as is" and the Center makes
* no warranty as to its use or performance. The Center does not
* and cannot warrant the performance or results which the user may
* obtain by using the Software. The Center makes no warranties,
* express or implied, as to non-infringement of third party rights,
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* event will the Center be liable to the user for any consequential,
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* savings, even if a Center representative has been advised of such
* damages, or for any claim by any third party.
*
* Correspondence concerning IERS Conventions software should be
* addressed as follows:
*
* Gerard Petit
* Internet email: gpetit[at]bipm.org
* Postal address: IERS Conventions Center
* Time, frequency and gravimetry section, BIPM
* Pavillon de Breteuil
* 92312 Sevres FRANCE
*
* or
*
* Brian Luzum
* Internet email: brian.luzum[at]usno.navy.mil
* Postal address: IERS Conventions Center
* Earth Orientation Department
* 3450 Massachusetts Ave, NW
* Washington, DC 20392
*
*
*-----------------------------------------------------------------------
END