=============================================================================


                      INTERNATIONAL DORIS SERVICE

                European Space Operations Centre (ESOC)
                     European Space Agency (ESA)

                      Analysis Strategy Summary


=============================================================================
| Analysis Center   | European Space Agency (ESA)                           |
|                   | European Space Operation Center (ESOC)                |
|                   | Navigation Support Office (OPS-GN)                    |
|                   | Robert Bosch Strasse 5                                |
|                   | D-64293 Darmstadt                                     |
|                   | Fax: +49 6151 90 3129                                 |
|---------------------------------------------------------------------------|
| Contact people    | Dr. Werner Enderle                                    |
|                   | Werner.Enderle (at) esa.int.nospam                    |
|                   | +49 6151 90 2272                                      |
|                   |                                                       |
|                   | Michiel Otten                                         |
|                   | Michiel.Otten (at) esa.int.nospam                     |
|                   | +49 6151 90 2523                                      |
|---------------------------------------------------------------------------|
| Software used     | NAPEOS Version 4.0                                    |
----------------------------------------------------------------------------|
| IDS Products      | Weekly solutions (in SINEX format):                   |
|                   | Coordinates of global DORIS stations                  |
|                   | Daily Earth Orientation Parameters                    |
|                   | X-pole, Y-pole + rates and LOD                        |
|---------------------------------------------------------------------------|
| Preperation Date  | March 2012                                            |
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| Modification dates| 2012/03/04: Creation                                  |
|                   |                                                       |
|---------------------------------------------------------------------------|
| Effective date    | All reprocessing                                      |
| for data analysis |                                                       |
=============================================================================


-----------------------------------------------------------------------------
|                     MEASUREMENT MODELS                                    |
|---------------------------------------------------------------------------|
| Data editing     | null doppler meas. and restart mode                    |
|                  |                                                        |
|---------------------------------------------------------------------------|
| Basic measurement|                                                        |
|                  | 2 frequencies : 2,03625 GHz (principal channel) and    |
|                  | 401.25 MHz                                             |
|                  |                                                        |
|                  | entire number of cycles of a beat frequency (first     |
|                  | generation instrument on SPOT2, SPOT3, SPOT4, TOPEX/   |
|                  | POSEIDON, ENVISAT satellites)                          |
|                  |                                                        |
|                  | fractional phase differences of a beat frequency       |
|                  | (second generation instrument on SPOT5 and JASON1      |
|                  | and DGXX intrument on JASON2 and CRYOSAT2, HY-2A)      |
|                  |                                                        |
|                  | "2.2 format" data from CDDIS                           |
|                  |                                                        |
|                  |--------------------------------------------------------|
|                  | elevation angle cutoff :  10 degrees before 2002       |
|                  |                            7 degrees after 2002        |
|                  | weighting : 0.5 mm/s fixed before 2002 after 2002      |
|                  |             elevation dependent weighting (sin)        |
|---------------------------------------------------------------------------|
| Ground antenna   | Height dependant on the antenna type                   |
| phase centre cor.|                                                        |
|---------------------------------------------------------------------------|
| Troposphere      | Zenith delay computed using the Saastamoinen model with|
| a priori model   | pressure and temperature from the GPT model.           |
|                  | The resulting zenith delay is mapped using the dry     |
|                  | GMF mapping function.                                  |
|---------------------------------------------------------------------------|
| Troposphere      | zenith delay: estimated as linear parameters           |
| estimated        | every pass after 2002 daily gradient in North and East |
|                  |--------------------------------------------------------|
|                  | mapping function: partial is GMF wet (Boehm, 2006)     |
|---------------------------------------------------------------------------|
| Ionosphere       | Two frequency model first order model (SOD/CNES)       |
|---------------------------------------------------------------------------|
| Relativity       | Applied                                                |
| clock effects    |                                                        |
|---------------------------------------------------------------------------|
| Plate motions    | DPOD2008v1.13                                          |
|                  |                                                        |
|---------------------------------------------------------------------------|
| Tidal            | solid Earth tide: IERS 2010 (dehanttideinel.f routine) |
| displacements    |                   (no change compared to IERS 2003)    |
|                  |--------------------------------------------------------|
|                  | permanent tide: zero-frequency contribution left in    |
|(IERS 2010        |                 tide model, NOT in site coordinates    |
| Conventions)     |--------------------------------------------------------|
|                  | solid Earth pole tide: IERS 2010                       |
|                  |                        Mean pole removed by:           |
|                  |                        - quadratic trend until 2010    |
|                  |                        - linear trend from 2010        |
|                  |--------------------------------------------------------|
|                  | oceanic pole tide: not applied                         |
|                  |                                                        |
|                  |--------------------------------------------------------|
|                  | ocean tide loading: consistent with IERS 2010          |
|                  |                 site-dependent amps & phases from Bos  |
|                  |                 & Scherneck website for FES2004 tide   |
|                  |                 model including CMC.                   |
|                  |                 NEU site displacements computed        |
|                  |                 using hardisp.f from D. Agnew          |
|                  |--------------------------------------------------------|
|                  | ocean tide geocenter: coeffs corrected for center of   |
|                  |                 mass motion of whole Earth             |
|                  |--------------------------------------------------------|
|                  | atmosphere tides: corrections for S1 & S2 tidal        |
|                  |                 pressure loading not applied           |
|---------------------------------------------------------------------------|
| Non-tidal        | atmospheric pressure:  not applied                     |
| loadings         |--------------------------------------------------------|
|                  | ocean bottom pressure: not applied                     |
|                  |--------------------------------------------------------|
|                  | surface hydrology:     not applied                     |
|                  |--------------------------------------------------------|
|                  | other effects:         none applied                    |
|---------------------------------------------------------------------------|
| Earth orientation| ocean tidal: diurnal/semidiurnal variations in x,y, &  |
| variations       |        UT1 applied according to IERS 2010 (ortho_eop.f)|
|                  |--------------------------------------------------------|
|                  | atmosphere tidal: S1, S2, S3 tides not applied         |
|                  |--------------------------------------------------------|
|                  | high-frequency nutation: prograde diurnal polar motion |
|                  |        corrections (IERS 2010) applied                 |
|                  |        using IERS routine PMSDNUT2.for                 |
|                  |--------------------------------------------------------|
|                  | UT1 liberation applied using IERS routine:             |
|                  |        UT1LIBR.for                                     |
|---------------------------------------------------------------------------|
| Clocks frequency | onboard frequency bias deduced from the master beacon  |
| deviation        | (a bias per satellite pass)                            |
|---------------------------------------------------------------------------|
| Satellite center | derived from center of mass history and attitude       |
| of mass - antenna| modelling                                              |
| phase center     |                                                        |
| correction       |                                                        |
|---------------------------------------------------------------------------|
| Satellite        | theoretical attitude model                             |
| attitude         |                                                        |
|                  |                                                        |
|---------------------------------------------------------------------------|
| Receiver-antenna |  depends on the channel and the instrument generation  |
| propagation delay|                                                        |
|                  |                                                        |
|---------------------------------------------------------------------------|

=============================================================================
|                      REFERENCE FRAMES                                     |
|---------------------------------------------------------------------------|
|Time argument    | TDT (not TCG) is used.                                  |
|                 | UTC time as given by observation epochs, which is       |
|                 | offset by only a fixed constant (approx.) from TT/TDT   |
|---------------------------------------------------------------------------|
|Inertial         | J2000                                                   |
|                 | geocentric; mean equator and equinox of 2000 Jan 1.5    |
|---------------------------------------------------------------------------|
|Terrestrial      | DPOD2008v1.13 (a priori station coordinates and vel.)   |
|---------------------------------------------------------------------------|
|Interconnection  | precession: IAU 2006  Precession-Nutation Model         |
|                 |---------------------------------------------------------|
|(EOP parameter   | nutation: IAU 2006  Precession-Nutation Model           |
|estimation is    |           The daily dx and dy corrections from the      |
|below)           |           IERS Bulletin A are applied.                  |
|                 |---------------------------------------------------------|
|                 | a priori EOPs: polar motion & UT1 interpolated from     |
|                 |           IERS Bulletin A, updated daily, with the      |
|                 |           restoration of subdaily EOP variations using  |
|                 |           IERS models (see MODELS above)                |
|============================================================================


-----------------------------------------------------------------------------
|                           ORBIT MODELS                                    |
|---------------------------------------------------------------------------|
| Geopotential     | EIGEN-6S2ext up to degree 120 including annual and     |
|                  | semi-annual terms of the low coefficients (up to 50)   |
|                  | 
|                  |--------------------------------------------------------|
|                  | GM=398600.4415 km**3/sec**2 (for TT/TDT time argument) |
|                  |                                                        |
|                  |--------------------------------------------------------|
|                  | AE  = 6378136.55 m Equatorial radius of the Earth      |
|                  | 1/f = 298.25769    Flattening factor of the Earth      |
|                  |                                                        |
|                  | NOTE:                                                  |
|                  | The above values are consistent with the "tide free"   |
|                  | system which we supposedly use.                        |
|                  |                                                        |
|                  | NOTE:                                                  |
|                  | AE  = 6378136.46 m for the EIGEN-6S2ext gravity field. |
|                  | This value is used for the Gravity field expansion.    |
|---------------------------------------------------------------------------|
| Tidal variations |solid Earth tides: applied                              |
| in geopotential  |   Procedure given in IERS Conventions 2010             |
|                  |   Anelastic Earth model implemented.                   |
|                  |--------------------------------------------------------|
|                  | ocean tides: applied                                   |
|                  |   Procedure given in IERS Conventions 2010             |
|                  |   EOT11a spherical harmonics used.                     |
|                  |--------------------------------------------------------|
|                  | solid Earth pole tide: applied                         |
|                  |   Procedure given in IERS Conventions 2010             |
|                  |                        Mean pole removed by:           |
|                  |                        - quadratic trend until 2010    |
|                  |                        - linear trend from 2010        |
|                  |--------------------------------------------------------|
|                  | oceanic pole tide: applied                             |
|                  |   Procedure given in IERS Conventions 2010             |
|                  |   New model of S. Desai for C21 and S21 terms only     |
|                  |                        Mean pole removed IERS 2010 by: |
|                  |                        - quadratic trend until 2010    |
|                  |                        - linear trend from 2010        |
----------------------------------------------------------------------------|
| Atmospheric      | computed from 6-Hourly AGRA Files                      |
| gravitational    |                                                        |
| attraction       |                                                        |
|---------------------------------------------------------------------------|
| Third-body       | Sun, Moon, Mercury, Venus, Mars, Jupiter, Saturn,      | 
| forces           | Uran, Neptune, and Pluto (i.e. All planets)            | 
|                  |--------------------------------------------------------|
|                  | ephemeris: JPL DE405                                   |
|---------------------------------------------------------------------------|
| Air drag         | Air density model : MSIS-90                            |
|---------------------------------------------------------------------------|
| Solar radiation  |                                                        |
| pressure         | direct radiation : applied                             |
|                  |--------------------------------------------------------|
|                  | Earth shadow model includes: penumbra from regularising|
|                  |                              function                  |
|                  |--------------------------------------------------------|
|                  | reemitted radiation:                                   |
|                  | albedo from a numerical model with albedo and IR       |
|                  | functions                                              |
|---------------------------------------------------------------------------|
| satellite        | not applied                                            |
| thermal thrust   |                                                        |
|---------------------------------------------------------------------------|
| Relativity       | Schwarzschild model + Lense-Thirring term + geodetic   |
|                  | precession                                             |
|---------------------------------------------------------------------------|
| Numerical        | Adams-Bashforth/Adams-Moulton 8th order prediction-    |
| integration      | correction (multistep) method                          |
|                  |--------------------------------------------------------|
|                  | integration step: 240 steps per revolution             |
|                  |--------------------------------------------------------|
|                  | starter procedure: Eight-order Runge Kutta (RKF)       |
|                  |--------------------------------------------------------|
|                  | Daily (24 hours) solutions                             |
=============================================================================

-----------------------------------------------------------------------------
|                    ESTIMATED PARAMETERS (APRIORI VALUES &amp; SIGMAS)     |
|---------------------------------------------------------------------------|
| Adjustment       | Weighted least-squares with iterations                 |
|---------------------------------------------------------------------------|
| Orbital          |                                                        |
| parameters       |                                                        |                  
|                  | Initial position and velocity                          |
|                  |                                                        |
|                  | Solar radiaton pressure : fixed                        |
|                  |                                                        |
|                  | Air drag:                                              |
|                  | - Spots, Envisat, Cryosat-2, HY-2A : 10 coef per day   |
|                  | - Topex, Jason-2: 4 coef per  day                      |
|                  |                                                        |
|                  | Hill empirical accelerations :                         |
|                  | 1 coeff cos-sin /orbital period in normal direction    |
|                  | 1 coeff cos-sin /orbital period in tangential direction|
|                  | per day                                                |
|---------------------------------------------------------------------------|
| Stations         |                                                        |
|                  | Station network coordinates and velocities, cartesian  |
|                  | system.                                                |
|                  |                                                        |
|---------------------------------------------------------------------------|
| Troposphere      |                                                        |
|                  | 1 zenith path delay bias estimated per satellite pass  |
|                  | gradients: North and East Gradient. Linear per day     |
|                  |            (after 2002)                                | 
|---------------------------------------------------------------------------|
| Ionospheric      | no parameters estimated                                |
| correction       |                                                        |
|                  |                                                        |
|---------------------------------------------------------------------------|
| ERP              | x and y pole and rates and LOD                         |
|                  | Current IERS C04 values consistent with ITRF2008 used  |
|                  | as apriori                                             |
|---------------------------------------------------------------------------|
| Clocks bias      |                                                        |
|                  | 1 frequency bias mixed receiver-station per satellite  |
|                  | pass                                                   |
|---------------------------------------------------------------------------|
| Other            |                                                        |
| parameters       |                                                        |
-----------------------------------------------------------------------------


=============================================================================
|                               REFERENCES                                   
|---------------------------------------------------------------------------- 
|                                                                            
| ESOC NAPEOS Software                                                       
| Springer, T.A., NAPEOS Mathematical Models and Algorithms,                 
| DOPS-SYS-TN-0100-OPS-GN, issue 1.0, Nov 5, 2009.                           
| ftp://dgn6.esoc.esa.int/napeos/DOPS-SYS-TN-0100-OPS-GN-MathModels.pdf        
|                                                                            
| EIGEN-GL05C - A new global combined high-resolution GRACE-based gravity   
| field model of the GFZ-GRGS cooperation,
| Ch. Foerste (1), F. Flechtner (1), R. Schmidt (1), R. Stubenvoll (1), M. Rothacher (1),
| J. Kusche (1), H. Neumayer (1), R. Biancale (2), J.-M. Lemoine (2),
| F. Barthelmes (1), S. Bruinsma (2), R. Koenig (1) and Ul. Meyer (1),
| Geophysical Research Abstracts,
| Vol. 10, EGU2008-A-03426, 2008
| SRef-ID: 1607-7962/gra/EGU2008-A-03426
|                                                                            
| Ocean Loading Service by M.S. Bos and H.-G. Scherneck                      
|   http://www.oso.chalmers.se/~loading/                                     
|                                                                            
| IERS Conventions 2010, Gerard Petit and Brian Luzum (editors), IERS Technical  
|   Note 36, Frankfurt am Main: Verlag des Bundesamts fuer Kartographie und  
|   Geodaesie, 2010.                                                         
|                                                                            
|----------------------------------------------------------------------------
|                                                                            
| Boehm, J, A. Niell, P. Tregoning, and H. Schuh, Global Mapping Function    
|   (GMF): A new empirical mapping function based on numerical weather       
|   model data, Geophysical Research Letters, Vol. 33, L07304,               
|   doi:10.1029/2005GLO25546                                                 
|
|
| Ge, M. et.al, Improving carrier-phase ambiguity resolution in global GPS   
|   network solutions, Journal of Geodesy, Volume 79, number 1-3, June 2005  
|                                                                            
| Kouba, J., Improved relativistic transformations in GPS, GPS Solustions,    
|   8(3), 170-180, 2004.                                                     
|                                                                            
| Saastamoinen, J., Atmospheric correction for the troposphere and           
|   stratosphere in radio ranging of satellites, in The Use of Artificial    
|   Satellites for Geodesy, Geophys. Monogr. Ser. 15 (S.W. Henriksen et al., 
