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Author NGA GPS Ephemeris/Station/Antenna Offset Documentation
Sam Wormley

2008-01-10, 12:33 pm

Current GPS Satellite Data
http://earth-info.nima.mil/GandG/sathtml/satinfo.html

NGA GPS Ephemeris/Station/Antenna Offset Documentation
http://earth-info.nga.mil/GandG/sat...oc2007_12a.html


NATIONAL GEOSPATIAL-INTELLIGENCE AGENCY
GPS PRECISE EPHEMERIDES, SATELLITE CLOCK PARAMETERS
AND SMOOTHED OBSERVATIONS

PRECISE EPHEMERIS

Earth-centered Earth-fixed trajectory
Coordinate system: WGS84 (G1150)
Position -- x,y,z (km)
Velocity -- dx/dt,dy/dt,dz/dt (dm/s)
GPS time -- year, day, hour, minute
Trajectory interval: 15 min.
Standard Trajectory referenced to satellite center of mass
Optional Trajectory referenced to satellite antenna phase center


SATELLITE CLOCK PARAMETERS

Clock parameters for each satellite:
Time offset (microseconds)
Frequency offset (10E-4 microsec/s = parts in 10E10)
Time interval for parameters: 15 min.
Satellite clock events: All events processed as reinitializations


SMOOTHED OBSERVATIONS

Smoothed range and range difference observations (km) with corrections
applied (see below)
GPS time of observation (year, day, seconds from beginning of day)
Standard deviation of observation (km)
Coordinate system: WGS84 (G1150)
Station coordinates: Position -- x,y,z (m), Epoch 2001.0
Velocity -- dx/dt,dy/dt,dz/dt (m/year)
Temperature (degrees Celsius)
Pressure (millibars)
Humidity (percent)
Data interval: 15 min.
Smoothing uses carrier phase to smooth range and range difference
measurements collected at a 1.5 second rate for NGA and Air Force
monitor stations and at a 30 second rate for IGS monitor stations
Minimum elevation angle for observation: 10 degrees
National Geospatial-Intelligence Agency and Air Force monitor station data
collected and smoothed using similar procedures
References: Computer Program Development Spec., Master Control
Station, Ephemeris/Clock Computer Program, NAVSTAR GPS Operational
Control System Segment, CP-MCSEC-302C, Part 1, Appendix A, 7 May 1993.
Description of the Smoothing Algorithm in the NGA Monitor Station
Network, (MSN29), Applied Research Laboratories, The University of
Texas at Austin, GR-SGG-97-1, 3 April 1997.


PHYSICAL CONSTANTS

GM(Earth) = 398600.4418 km**3/s**2
GM(Sun) = 132712400000 km**3/s**2
GM(Moon) = 4902.799186 km**3/s**2
Moon radius = 1738 km
Sun radius = 696000 km
Earth semi-major axis (a) = 6378.137 km
Inverse flattening (1/f) = 298.257223563
Earth angular velocity = 0.72921158553 X 10**-4 Rad/s
Speed of light = 299792.458 km/s
Love's constant = 0.290
Solar constant = 4.560 X 10**-6 N/m**2
Astronomical Unit = 149597870.691 km


STATION COORDINATES (CARTESIAN)
WGS84 (G1150) Epoch 2001.0

ID X (m) Y (m) Z (m)
85128
old VEGA) -1248597.295 -4819433.239 3976500.175
new AOA) -1248599.616 -4819441.045 3976490.143

85129) 6118524.122 -1572350.853 -876463.990
85130) 1916197.142 6029999.007 -801737.366
85131) -6160884.370 1339851.965 960843.071
85132) -5511980.484 -2200247.093 2329480.952
85143) 918988.120 -5534552.966 3023721.377
---------------------------------------------------
85402) -3939182.131 3467075.376 -3613220.824
85403) 2745499.065 -4483636.591 -3599054.582
85404) 3981776.642 -89239.095 4965284.650
85405) 3633910.757 4425277.729 2799862.795
85406) 1272867.310 -6252772.219 -23801.818

OLD 85407) 1112168.358 -4842861.664 3985487.174[color=darkred]

85410) -2296298.460 -1484805.050 5743080.090
85411) -4780787.068 436877.203 -4185258.942
85412) 5066232.133 2719226.969 -2754392.735
85413) -3067861.732 4067639.179 3824294.063
85414) -5246403.866 -3077285.554 -1913839.459


STATION COORDINATES (GEODETIC)
WGS84 (G1150) Epoch 2001.0

ID LAT (deg N) LONG (deg E) ELLIPSOID HT (m)
85128
old VEGA) 38.80305456 255.47540844 1911.755
new AOA) 38.80293823 255.47540511 1911.811

85129) -7.95132970 345.58786950 106.558
85130) -7.26984347 72.37092177 -64.063
85131) 8.72250074 167.73052625 39.927
85132) 21.56149086 201.76066922 426.077
85143) 28.48373800 279.42769549 -24.005
---------------------------------------------------
85402) -34.72900041 138.64734499 38.155
85403) -34.57370168 301.48070059 48.747
85404) 51.45374284 358.71610888 163.097
85405) 26.20914020 50.60814451 -13.872
85406) -.21515762 281.50639169 2922.626

OLD 85407) 38.92045032 282.93377525 59.098[color=darkred]

85410) 64.68794025 212.88703366 176.570
85411) -41.27264851 174.77870673 46.902
85412) -25.74634609 28.22403736 1416.405
85413) 37.07756793 127.02403180 48.876
85414) -17.57703053 210.39381438 99.927


CORRECTIONS APPLIED TO MEASUREMENTS

Ionospheric delay: 2-frequency, 1st order correction
Tropospheric refraction: Saastamoinen hydrostatic and wet zenith delay
models and Niell hydrostatic and wet mapping functions
Periodic relativistic effects


Satellite antenna offset (satellite body centered coordinates, meters)
Block II PRN's - Delta x= 0.2794, Delta y= 0.0000, Delta z= 0.9519

Block IIA PRN's - Delta x= 0.2794, Delta y= 0.0000, Delta z= 0.9519

Block IIR PRN 02 - Delta x= -0.0099, Delta y= 0.0061, Delta z= -0.0820
Block IIR PRN 11 - Delta x= 0.0019, Delta y= 0.0011, Delta z= 1.5141
Block IIR PRN 13 - Delta x= 0.0024, Delta y= 0.0025, Delta z= 1.6140
Block IIR PRN 14 - Delta x= 0.0018, Delta y= 0.0002, Delta z= 1.6137
Block IIR PRN 16 - Delta x= -0.0098, Delta y= 0.0060, Delta z= 1.6630
Block IIR PRN 18 - Delta x= -0.0098, Delta y= 0.0060, Delta z= 1.5923
Block IIR PRN 19 - Delta x= -0.0079, Delta y= 0.0046, Delta z= -0.0180
Block IIR PRN 20 - Delta x= 0.0022, Delta y= 0.0014, Delta z= 1.6140
Block IIR PRN 21 - Delta x= 0.0023, Delta y= -0.0006, Delta z= 1.5840
Block IIR PRN 22 - Delta x= 0.0018, Delta y= -0.0009, Delta z= 0.0598
Block IIR PRN 23 - Delta x= -0.0088, Delta y= 0.0035, Delta z= 0.0004
Block IIR PRN 28 - Delta x= 0.0019, Delta y= 0.0007, Delta z= 1.5131

Block IIR-M PRN 12 - Delta x= -0.01016, Delta y= 0.00587, Delta z= -0.09355
Block IIR-M PRN 15 - Delta x= -0.00996, Delta y= 0.00579, Delta z= -0.01227
Block IIR-M PRN 17 - Delta x= -0.00996, Delta y= 0.00599, Delta z= -0.10060
Block IIR-M PRN 29 - Delta x= -0.01012, Delta y= 0.00591, Delta z= -0.01512
Block IIR-M PRN 31 - Delta x= 0.00160, Delta y= 0.00033, Delta z= -0.05750


Station displacement due to tides
Yaw Bias: JPL yaw bias model for Block II and IIA satellites in eclipse


FORCE MODELING

Gravitational:
EGM96 Earth gravity model truncated at degree 12 and order 12
Solar and Lunar gravity using the DE403 ephemeredes, J2000 epoch,
and IAU Resolutions on Astronomical Constants, Time Scales, and
the Fundamental Reference Frame (1976-1980)
Solid Earth tides

Non-gravitational:
Radiation Pressure
The JPL TJPLXYZ03-II/IIA version model for Block II and IIA satellites
The JPL TJPLXYZ03-IIR version model for Block IIR satellites
Thrusts
Momentum dumps

Kinematic:
Luni-solar and planetary precession (IAU Resolutions, as above)
Nutation (IAU Resolutions, as above)
Earth rotation (IAU Resolutions, as above)
Polar Motion (using NGA initial values generated the week before
the orbit fit) + diurnal and semi-diurnal effects
UT1-UTC (using NGA initial values generated the week before the
orbit fit) + Zonal tide effects + diurnal and semi-diurnal effects

Integration step size: 300 seconds, reduced to 10 seconds during
eclipse boundary crossings


ORBIT ESTIMATION METHOD

Kalman Filter/RTS Smoother (Square Root Information implementation)
Initial conditions: From previous fit
Solution parameters:
Satellite state vector in element form at trajectory epoch --
semi-major axis
eccentricity * sin(argument of perigee)
eccentricity * cos(argument of perigee)
inclination
mean anomaly + argument of perigee
right ascension of the ascending node
Satellite clock parameters -- Time offset, Frequency offset
Monitor station clock parameters (excluding master station) --
Time offset, Frequency offset
Polar motion parameters -- Pole and pole rate components along
Greenwich meridian, Pole and pole rate components along
meridian 90 deg west of Greenwich, Rate of change and
acceleration of UT1-UTC
Satellite radiation pressure parameters -- Radiation pressure
scale, and Y-axis acceleration
Tropospheric refraction -- One stochastic zenith delay
parameter per station
Minimum range observation uncertainty(1-sigma):100 cm (IGS Stations)
80 cm (AF Station 85130)
40 cm (Other AF and NGA stations)
Minimum range difference observation uncertainty (1-sigma): 1.5 cm
Process noise in Kalman Filter:
Radiation pressure (each satellite)--
Decorrelation time 14,400 s
Steady state sigmas --
SCALE 0.05
Y-AXIS 0.5 X 10**-12 km/s**2
Tropospheric refraction variance rate: 2.89 cm**2/hr
Station clock white noise spectral density: (each station) --
Time offset 0.1111 X 10**-2 (microseconds)**2/s
Frequency offset 0.1111 X 10**-8 (ppm)**2/s
Satellite clock white noise spectral density: (each satellite)
Time offset 0.1111 X 10**-2 (microseconds)**2/s
Frequency offset 0.1111 X 10**-8 (ppm)**2/s
Frequency drift 0. (ppm/s)**2/s


SATELLITE CLOCK ESTIMATION METHOD

Kalman Filter/RTS Smoother (Square Root Information implementation)
Orbit solutions from above method are held fixed for satellite clock
estimation
Solution parameters:
Satellite clock parameters -- Time offset, Frequency offset
Monitor station clock parameters (excluding master station) --
Time offset, Frequency offset
Tropospheric refraction -- One stochastic zenith delay parameter
per station.
Minimum range observation uncertainty(1-sigma):100 cm (IGS Stations)
80 cm (AF Station 85130)
40 cm (Other AF and NGA stations)
Minimum range difference observation uncertainty (1-sigma): 15.0 cm
Process noise in Kalman Filter:
Tropospheric refraction variance rate: 2.89 cm**2/hr

Station clock white noise spectral densities:
NGA stations (except USNO) and Air Force stations (except Colorado Springs):
Time offset 0.1944 X 10**-8 (microseconds)**2/s
Frequency offset 0.4440 X 10**-19 (ppm)**2/s
NGA station at USNO and Air Force station at Colorado Springs:
Time offset 0.1380 X 10**-9 (microseconds)**2/s
Frequency offset 0.4440 X 10**-19 (ppm)**2/s
IGS stations:
Time offset 0.3456 X 10**-8 (microseconds)**2/s
Frequency offset 0.4440 X 10**-19 (ppm)**2/s

Satellite clock white noise spectral densities:
Satellite Block IIR Rubidium clocks
Time offset 0.8640 X 10**-9 (microseconds)**2/s
Frequency offset 0.1110 X 10**-18 (ppm)**2/s
Frequency drift 0. (ppm/s)**2/s
Satellite Block II/IIA Rubidium clocks
Time offset 0.1944 X 10**-8 (microseconds)**2/s
Frequency offset 0.1110 X 10**-18 (ppm)**2/s
Frequency drift 0. (ppm/s)**2/s
Satellite Cesium clocks
Time offset 0.13824 X 10**-7 (microseconds)**2/s
Frequency offset 0.1000 X 10**-17 (ppm)**2/s
Frequency drift 0. (ppm/s)**2/s
Satellite 'Noisy' Cesium clocks
Time offset 0.2000 X 10**-7 (microseconds)**2/s
Frequency offset 0.1110 X 10**-16 (ppm)**2/s
Frequency drift 0. (ppm/s)**2/s


Reference: Swift, E., Mathematical Description of the GPS Multi-Satellite
Filter/Smoother, NSWCDD Report (Oct. 2001).


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