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Global Positioning systems (GPS)
      and its Applications
Global Positioning System (GPS)
                    ystem
Global Positioning S t
Gl b l P iti i System (GPS)
In 1973 the U.S. Department of Defense
decided to establish, develop, test, acquire,
and deploy a spaceborne Global Positioning
System (GPS). The result of this decision is the
p
present NAVSTARGPS (NAVigation Satellite
                        (      g
Timing And Ranging Global Positioning
System).
GPS General Characteristics

  Developed by the US
  Department of Defense
  D     t   t fD f
  Provides
       Accurate Navigation
                    g
          10 - 20 m
       Worldwide Coverage
       24 hour access
       Common Coordinate
       System
  Designed t replace existing
  D i     d to    l      i ti
   navigation systems
  Accessible by Civil and Military
GPS Tidbits
Development costs estimate ~$12 billion
Annual operating cost ~$400 million
                       $400
3 Segments:
  Space: Satellites
  User: Receivers
  Control: Monitor & Control stations
Prime Space Segment contractor: Rockwell International
Coordinate Reference: WGS-84
Operated by US Air Force Space Command (AFSC)
  Mission control center operations at Schriever (formerly
  Falcon) AFB, Colorado Springs
GPS System
Components
C        t
                               Space Segment
                               NAVSTAR : NAVigation
                               Satellite Time and Ranging
                               24 Satellites (30)
                               20200 Km




                            Control Segment
 User Segment
        g                   1 Master Station
 Receive Satellite Signal   5 Monitoring Stations
Control Segment
                       g
                                      Monitor and Control



Colorado
Springs




                          Ascension                     Kwajalein
   Hawaii
                           Islands
                                           Diego
 Master Control Station                    Garcia
 Monitor Station
 Ground Antenna
GPS Segments
                                          Space Segment



                                          Satellite Constellation

                                                                                                                User Segment




                                      Ground
                                     Antennas
                                                   Monitor
                                                                 AFSCN
                                                   Stations
Master Control Station




                                                                           FAIRBANKS
                                                                                                    ENGLAND
                       Control Segment                                       COLORADO SPRINGS
                                                                                                                                    SOUTH
                                                                                             USNO WASH D.C.
                                                                                                                                    KOREA
                                                                    VANDENBERG, AFB
                                                                                              CAPE CANAVERAL
                                                                                                                         BAHRAIN
Master Control Station (MCS)          Advanced Ground Antenna        HAWAII Master C
                                                                                   Control S i
                                                                                         l Station
                                                                                                                                            KWAJALEIN
                                                                                                    ASCENSION
Ground Antenna (GA)                   Monitor Station (MS)                                   ECUADOR                       DIEGO
                                                                                                                           GARCIA
                                                                                                                                                   TAHITI
National Geospatial-Intelligence Agency (NGA) Tracking Station
         Geospatial-                                                                                            SOUTH
                                                                                                  ARGENTINA     AFRICA
Alternate Master Control Station (AMCS)                                                                                                     NEW ZEALAND
Space Segment
 p      g

 24 Satellites                     • 12 Hourly orbits
       4 satellites in 6 Orbital      – In view for 4-5 hours
                                                    45
       Planes inclined at 55       • Designed to last 7.5 years
       Degrees                     • Different Classifications
 20200 Km above the Earth
       K      b      th E th          – Block 1, 2, 2A, 2R & 2 F




                55
                                                 Equator
                                                  q
User Segment

   The most visible segment
   GPS receivers are found in many
   locations and applications
How It Works (In 5 Easy Steps)
             (        y    p )
    GPS is a ranging system (triangulation)
       The “ f
       Th “reference stations” are satellites moving at 4 k /
                      t ti   ”       t llit      i    t km/s
1. A GPS receiver (“the user”) detects 1-way ranging signals
   from several satellites
       Each transmission is time-tagged
       Each transmission contains the satellite’s position
2. The time-of-arrival is compared to time-of-transmission
3. The delta-T is multiplied by the speed of light to obtain the
   range
4. Each range puts the user on a sphere about the satellite
5. Intersecting several of these y
              g                   yields a user p
                                                position
Outline Principle : Range




                                                 Xll




                                                 Vl




           Range = Time Taken x Speed of Light
Outline Principle : Position
  The satellites are like “Orbiting Control Stations
                           Orbiting         Stations”
  Ranges (distances) are measured to each satellite
  using time dependent codes
  Typically GPS receivers use inexpensive clocks They
                                          clocks.
  are much less accurate than the clocks on board the
  satellites
  A radio wave travels at the speed of light
          (
          (Distance = Velocity x Time)
                             y       )
       Consider an error in the receiver clock
          1/10 second error = 30,000 Km error
          1/1,000,000 second error = 300 m error
Timing
Accuracy of position is only as good as your clock
  To know where you are, you must know when you receive.
  Receiver clock must match SV clock to compute delta-T
SVs carry atomic oscillators (2 rubidium, 2 cesium each)
  Not practical for hand-held receiver
Accumulated drift of receiver clock is called clock bias
The
Th erroneously measured range i called a pseudorange
               l           d         is ll d        d
To eliminate the bias, a 4th SV is tracked
  4 equations 4 unknowns
    equations,
  Solution now generates X,Y,Z and b
If Doppler also tracked, Velocity can be computed
Position Equations
     P1 =      ( X − X 1 ) 2 + (Y − Y 1 ) 2 + ( Z − Z 1 ) 2 + b
     P2 =      (X − X      2 ) 2 + (Y − Y 2 ) 2 + ( Z − Z 2 ) 2 + b
     P3 =      ( X − X 3 ) 2 + (Y − Y 3 ) 2 + ( Z − Z 3 ) 2 + b
     P4 =      (X − X      4 ) 2 + (Y − Y 4 ) 2 + ( Z − Z 4 ) 2 + b

 Where:
 Pi = Measured PseudoRange (Biased ranges) to the ith SV
 Xi , Yi , Zi = Position of the ith SV, Cartesian Coordinates
                                      ,
 X , Y , Z = User position, Cartesian Coordinates, to be solved-for
 b = User clock bias (in distance units), to be solved-for
The above nonlinear equations are solved iteratively using an initial
estimate of the user position, XYZ, and b- same for all satellites
Point Positioning




                                       Accuracy 10 - 100 m




A receiver in autonomous mode provides navigation and
positioning accuracy of about 10 to 100 m due to the
effects of GPS errors!!?
 ff t f              !!?
The Almanac
In addition to its own nav data, each SV also
broadcasts info about ALL the other SV’s
  In a reduced-accuracy format
Known as the Almanac
Permits receiver to predict, from a cold start,
“where to look” for SV’s when powered up
GPS orbits are so predictable, an almanac may be
valid for months
Almanac data is large
  12.5 minutes to transfer in entirety
GPS Signals
Most unsophisticated receivers track only L1
M             hi i    d     i         k l
If L2 tracked, then the phase difference (L1-L2) can
be
b used t filt out i
        d to filter t ionospheric d l
                            h i delay.
  This is true even if the receiver cannot decrypt the P-
  code (more later)
  L1-only receivers use a simplified correction model
GPS Error Sources
    (uncertainities based on Satellite, signal propagation, and receiver based)

Standard Positioning Service (SPS ):
     Satellite clocks:            < 1 to 3.6 meters
     Orbital errors:              < 1 meter
     Receiver noise:              0.3 to 1.5 meters
     Ionosphere:                  5.0 to 7.0 meters
     Troposphere:                 0.5 to 0.7 meters
     Multipath:                   undetermined
     User error:                  Up to a kilometer or more


Errors are cumulative
Satellite Geometry
                    y
Satellite geometry can affect the quality of signals and
          g       y                 q   y      g
accuracy of receiver trilateration.
Positional Dilution of Precision (PDOP) reflects each
satellite’s position relative to the other satellites being
accessed by a receiver.
PDOP can b used as an i di t
               be     d           indicator of th quality of a
                                             f the   lit   f
receiver’s triangulated position.
It s
It’s usually up to the GPS receiver to pick satellites which
provide the best position trilateration.
Some receivers do allow PDOP manipulation by the user.
                                 p         y
Dilution of Precision (DOP)
  Satellite geometry can affect the quality of signals and accuracy of
  receiver trilateration.
• A description of purely geometrical contribution to the uncertainty in
  a position fix.
• It is an indicator as to the geometrical strength of the satellites being
  tracked at the time of measurement
   – GDOP (Geometrical)
      • Includes Lat, Lon, Height & Time              Good GDOP
   – PDOP (Positional)                                            Poor DOP
      • Includes Lat, Lon & Height
   – HDOP (Horizontal)
      • Includes Lat & Lon
   – VDOP (Vertical)
      • Includes Height
                          QUALITY               DOP
                         Very Good
                         V    G d               1-3
                                                13
                         Good                   4-5
                         Fair                   6
                         Suspect                >6
Ideal Satellite Geometry
                N




  W                        E




                S
Good Satellite Geometry
Poor Satellite Geometry
              N




  W                       E




              S
Poor Satellite Geometry
                      y
Satellite Mask Angle
Atmospheric Refraction is greater for satellites at
angles that are low to the receiver because the
signal must pass through more atmosphere.

There is a trade off between mask angle and
atmospheric refraction. Setting high angles will
 t     h i     f ti      S tti hi h      l     ill
decrease atmospheric refraction, but it will also
decrease the possibility of tracking the
necessary four satellites.
Sources of Signal Interference
Multipath Error
     p
Signal Obstruction




             When something blocks the GPS signal.
             Areas of Great Elevation Differences
                Canyons
                Mountain Obstruction
                Urban Environments
             Indoors
Selective Availability (SA)
  To deny high-accuracy realtime positioning to potential enemies,
  DoD reserves the right to deliberately degrade GPS performance
     Only on the C/A code
  By far the largest GPS error source
  Accomplished by:
     “Dithering” the clock data
         Results in erroneous pseudoranges
     Truncating the nav message data
         Erroneous SV positions used to compute user position
  Degrades SPS solution by a factor of 4 or more
     Long-term averaging is the only effective SA compensator

ON 1 MAY 2000: SA WAS DISABLED BY DIRECTIVE
Selective Availability (SA)
                                      100m

• In theory a point position can be          30m

  accurate to 10 - 30 b
         t t       30m based on
                             d
  the C/A Code
    The USDoD degrades the
    accuracy of the broadcast
               f th b d     t
    information                              P

          Dither the Satellite
          Clocks
          Satellite Orbital
          Information                              +/-
                                                   +/- 100m (95%)

          Positional accuracy         P = True Position
          100m (95%)
Human Error
Error Budget
             E     B d t
Typical Error in Meters (per satellite)
                   Standard GPS Differential GPS
Satellite Clocks        1.5                 0
Orbit Errors            2.5
                        25                  0
Ionosphere               5                 0.4
Troposphere             0.5                0.2
Receiver Noise          0.3                0.3
Multipath               0.6                0.6
SA                      30                  0

Typical P i i A
T i l Position Accuracy
Horizontal               50                1.3
Vertical                 78                 2
3-D
3D                       93                2.8
                                           28
                                   Trimble Navigation Limited
How do I
     Improve my Accuracy ?

                   Use
            Differential GPS
   (
   (Receiver position, satellite position, frequency-
             p                   p         frequency-
                                              q    y
ionospheric corrections, time-ambiguity of carrier phase
                          time-
                    measurements)
Differential Positioning
                       g

  It is possible to determine the
  position of Rover ‘B’ in relation to
  Reference ‘A’ provided

   – The coordinates of the
     Reference Station (A) are
     known

   – Satellites are tracked
     simultaneously
• Differential Positioning
   – eliminates errors in the
     sat. and receiver clocks            A   B
   – minimizes atmospheric
     delays
   – A
     Accuracy 0 5 cm - 5 m
                0.5
Differential Positioning

 If using Code only
 accuracy is in the
 range of 0 5m - 5
           0.5m
 m
 This is typically
             yp   y
 referred   to   as
 DGPS
                      A    B
Differential Positioning

If using Ph
      i    Phase or
Code      &    Phase
accuracy is in the
order of 5 - 10 mm +
1ppm

                       A   B
Summary of GPS Positioning
      y                  g
• Point Positioning Methods using stand alone receivers
  provide 10 - 100 m accuracy
   – Dependent on SA
   – 1 Epoch solution


• Differential Positioning Methods using 2 receivers,
  simultaneously tracking a minimum of 4 satellites
                 y           g
  (preferably 5) will yield 0.5 cm to 5 m accuracy with respect
  to a Reference Station


   • Differential Techniques using Code will give meter accuracy
   • Differential Techniques using Phase will give centimeter
     accuracy
GPS Surveying Techniques

Static
St ti
   For long baselines (>20Km), where the highest
   possible accuracy is required
   This i th t diti
   Thi is the traditional t h i
                        l technique f providing
                                    for   idi
   Geodetic Networks
   The only solution for large areas

Rapid Static
   For baselines up to 20Km
   Short Occupation times
   Normally used for high production
GPS Surveying Techniques
         y g        q
 Stop and Go
     Detail Surveys. Any application
            Surveys
     where many points close
     together have to be surveyed
     Fast and economical
     Ideal for open areas
 Kinematic
     Used to track the trajectory of a
     moving object (continuous
     measurements)
     Can be used to profile
     roadways, stockpiles, etc.
References
R f
  http://www.glonass-
  ianc.rsa.ru/pls/htmldb/f?p=202:1:15000421459964108253
  http://igscb.jpl.nasa.gov/
  http://igscb jpl nasa gov/
  http://www.navcen.uscg.gov/gps/precise/default.htm
Interface Control Documents:
  http://www.navcen.uscg.gov
  http://www.Glonass-ianc.ras.ru
  htt //      Gl        i
  http://www.Galileoju.com
Iirs gps dmc 2010

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Iirs gps dmc 2010

  • 1. Global Positioning systems (GPS) and its Applications
  • 3. Global Positioning S t Gl b l P iti i System (GPS) In 1973 the U.S. Department of Defense decided to establish, develop, test, acquire, and deploy a spaceborne Global Positioning System (GPS). The result of this decision is the p present NAVSTARGPS (NAVigation Satellite ( g Timing And Ranging Global Positioning System).
  • 4. GPS General Characteristics Developed by the US Department of Defense D t t fD f Provides Accurate Navigation g 10 - 20 m Worldwide Coverage 24 hour access Common Coordinate System Designed t replace existing D i d to l i ti navigation systems Accessible by Civil and Military
  • 5. GPS Tidbits Development costs estimate ~$12 billion Annual operating cost ~$400 million $400 3 Segments: Space: Satellites User: Receivers Control: Monitor & Control stations Prime Space Segment contractor: Rockwell International Coordinate Reference: WGS-84 Operated by US Air Force Space Command (AFSC) Mission control center operations at Schriever (formerly Falcon) AFB, Colorado Springs
  • 6. GPS System Components C t Space Segment NAVSTAR : NAVigation Satellite Time and Ranging 24 Satellites (30) 20200 Km Control Segment User Segment g 1 Master Station Receive Satellite Signal 5 Monitoring Stations
  • 7. Control Segment g Monitor and Control Colorado Springs Ascension Kwajalein Hawaii Islands Diego Master Control Station Garcia Monitor Station Ground Antenna
  • 8. GPS Segments Space Segment Satellite Constellation User Segment Ground Antennas Monitor AFSCN Stations Master Control Station FAIRBANKS ENGLAND Control Segment COLORADO SPRINGS SOUTH USNO WASH D.C. KOREA VANDENBERG, AFB CAPE CANAVERAL BAHRAIN Master Control Station (MCS) Advanced Ground Antenna HAWAII Master C Control S i l Station KWAJALEIN ASCENSION Ground Antenna (GA) Monitor Station (MS) ECUADOR DIEGO GARCIA TAHITI National Geospatial-Intelligence Agency (NGA) Tracking Station Geospatial- SOUTH ARGENTINA AFRICA Alternate Master Control Station (AMCS) NEW ZEALAND
  • 9. Space Segment p g 24 Satellites • 12 Hourly orbits 4 satellites in 6 Orbital – In view for 4-5 hours 45 Planes inclined at 55 • Designed to last 7.5 years Degrees • Different Classifications 20200 Km above the Earth K b th E th – Block 1, 2, 2A, 2R & 2 F 55 Equator q
  • 10. User Segment The most visible segment GPS receivers are found in many locations and applications
  • 11. How It Works (In 5 Easy Steps) ( y p ) GPS is a ranging system (triangulation) The “ f Th “reference stations” are satellites moving at 4 k / t ti ” t llit i t km/s 1. A GPS receiver (“the user”) detects 1-way ranging signals from several satellites Each transmission is time-tagged Each transmission contains the satellite’s position 2. The time-of-arrival is compared to time-of-transmission 3. The delta-T is multiplied by the speed of light to obtain the range 4. Each range puts the user on a sphere about the satellite 5. Intersecting several of these y g yields a user p position
  • 12. Outline Principle : Range Xll Vl Range = Time Taken x Speed of Light
  • 13. Outline Principle : Position The satellites are like “Orbiting Control Stations Orbiting Stations” Ranges (distances) are measured to each satellite using time dependent codes Typically GPS receivers use inexpensive clocks They clocks. are much less accurate than the clocks on board the satellites A radio wave travels at the speed of light ( (Distance = Velocity x Time) y ) Consider an error in the receiver clock 1/10 second error = 30,000 Km error 1/1,000,000 second error = 300 m error
  • 14. Timing Accuracy of position is only as good as your clock To know where you are, you must know when you receive. Receiver clock must match SV clock to compute delta-T SVs carry atomic oscillators (2 rubidium, 2 cesium each) Not practical for hand-held receiver Accumulated drift of receiver clock is called clock bias The Th erroneously measured range i called a pseudorange l d is ll d d To eliminate the bias, a 4th SV is tracked 4 equations 4 unknowns equations, Solution now generates X,Y,Z and b If Doppler also tracked, Velocity can be computed
  • 15. Position Equations P1 = ( X − X 1 ) 2 + (Y − Y 1 ) 2 + ( Z − Z 1 ) 2 + b P2 = (X − X 2 ) 2 + (Y − Y 2 ) 2 + ( Z − Z 2 ) 2 + b P3 = ( X − X 3 ) 2 + (Y − Y 3 ) 2 + ( Z − Z 3 ) 2 + b P4 = (X − X 4 ) 2 + (Y − Y 4 ) 2 + ( Z − Z 4 ) 2 + b Where: Pi = Measured PseudoRange (Biased ranges) to the ith SV Xi , Yi , Zi = Position of the ith SV, Cartesian Coordinates , X , Y , Z = User position, Cartesian Coordinates, to be solved-for b = User clock bias (in distance units), to be solved-for The above nonlinear equations are solved iteratively using an initial estimate of the user position, XYZ, and b- same for all satellites
  • 16. Point Positioning Accuracy 10 - 100 m A receiver in autonomous mode provides navigation and positioning accuracy of about 10 to 100 m due to the effects of GPS errors!!? ff t f !!?
  • 17. The Almanac In addition to its own nav data, each SV also broadcasts info about ALL the other SV’s In a reduced-accuracy format Known as the Almanac Permits receiver to predict, from a cold start, “where to look” for SV’s when powered up GPS orbits are so predictable, an almanac may be valid for months Almanac data is large 12.5 minutes to transfer in entirety
  • 18. GPS Signals Most unsophisticated receivers track only L1 M hi i d i k l If L2 tracked, then the phase difference (L1-L2) can be b used t filt out i d to filter t ionospheric d l h i delay. This is true even if the receiver cannot decrypt the P- code (more later) L1-only receivers use a simplified correction model
  • 19. GPS Error Sources (uncertainities based on Satellite, signal propagation, and receiver based) Standard Positioning Service (SPS ): Satellite clocks: < 1 to 3.6 meters Orbital errors: < 1 meter Receiver noise: 0.3 to 1.5 meters Ionosphere: 5.0 to 7.0 meters Troposphere: 0.5 to 0.7 meters Multipath: undetermined User error: Up to a kilometer or more Errors are cumulative
  • 20. Satellite Geometry y Satellite geometry can affect the quality of signals and g y q y g accuracy of receiver trilateration. Positional Dilution of Precision (PDOP) reflects each satellite’s position relative to the other satellites being accessed by a receiver. PDOP can b used as an i di t be d indicator of th quality of a f the lit f receiver’s triangulated position. It s It’s usually up to the GPS receiver to pick satellites which provide the best position trilateration. Some receivers do allow PDOP manipulation by the user. p y
  • 21. Dilution of Precision (DOP) Satellite geometry can affect the quality of signals and accuracy of receiver trilateration. • A description of purely geometrical contribution to the uncertainty in a position fix. • It is an indicator as to the geometrical strength of the satellites being tracked at the time of measurement – GDOP (Geometrical) • Includes Lat, Lon, Height & Time Good GDOP – PDOP (Positional) Poor DOP • Includes Lat, Lon & Height – HDOP (Horizontal) • Includes Lat & Lon – VDOP (Vertical) • Includes Height QUALITY DOP Very Good V G d 1-3 13 Good 4-5 Fair 6 Suspect >6
  • 26. Satellite Mask Angle Atmospheric Refraction is greater for satellites at angles that are low to the receiver because the signal must pass through more atmosphere. There is a trade off between mask angle and atmospheric refraction. Setting high angles will t h i f ti S tti hi h l ill decrease atmospheric refraction, but it will also decrease the possibility of tracking the necessary four satellites.
  • 27. Sources of Signal Interference
  • 29. Signal Obstruction When something blocks the GPS signal. Areas of Great Elevation Differences Canyons Mountain Obstruction Urban Environments Indoors
  • 30. Selective Availability (SA) To deny high-accuracy realtime positioning to potential enemies, DoD reserves the right to deliberately degrade GPS performance Only on the C/A code By far the largest GPS error source Accomplished by: “Dithering” the clock data Results in erroneous pseudoranges Truncating the nav message data Erroneous SV positions used to compute user position Degrades SPS solution by a factor of 4 or more Long-term averaging is the only effective SA compensator ON 1 MAY 2000: SA WAS DISABLED BY DIRECTIVE
  • 31. Selective Availability (SA) 100m • In theory a point position can be 30m accurate to 10 - 30 b t t 30m based on d the C/A Code The USDoD degrades the accuracy of the broadcast f th b d t information P Dither the Satellite Clocks Satellite Orbital Information +/- +/- 100m (95%) Positional accuracy P = True Position 100m (95%)
  • 33. Error Budget E B d t Typical Error in Meters (per satellite) Standard GPS Differential GPS Satellite Clocks 1.5 0 Orbit Errors 2.5 25 0 Ionosphere 5 0.4 Troposphere 0.5 0.2 Receiver Noise 0.3 0.3 Multipath 0.6 0.6 SA 30 0 Typical P i i A T i l Position Accuracy Horizontal 50 1.3 Vertical 78 2 3-D 3D 93 2.8 28 Trimble Navigation Limited
  • 34. How do I Improve my Accuracy ? Use Differential GPS ( (Receiver position, satellite position, frequency- p p frequency- q y ionospheric corrections, time-ambiguity of carrier phase time- measurements)
  • 35. Differential Positioning g It is possible to determine the position of Rover ‘B’ in relation to Reference ‘A’ provided – The coordinates of the Reference Station (A) are known – Satellites are tracked simultaneously • Differential Positioning – eliminates errors in the sat. and receiver clocks A B – minimizes atmospheric delays – A Accuracy 0 5 cm - 5 m 0.5
  • 36. Differential Positioning If using Code only accuracy is in the range of 0 5m - 5 0.5m m This is typically yp y referred to as DGPS A B
  • 37. Differential Positioning If using Ph i Phase or Code & Phase accuracy is in the order of 5 - 10 mm + 1ppm A B
  • 38. Summary of GPS Positioning y g • Point Positioning Methods using stand alone receivers provide 10 - 100 m accuracy – Dependent on SA – 1 Epoch solution • Differential Positioning Methods using 2 receivers, simultaneously tracking a minimum of 4 satellites y g (preferably 5) will yield 0.5 cm to 5 m accuracy with respect to a Reference Station • Differential Techniques using Code will give meter accuracy • Differential Techniques using Phase will give centimeter accuracy
  • 39. GPS Surveying Techniques Static St ti For long baselines (>20Km), where the highest possible accuracy is required This i th t diti Thi is the traditional t h i l technique f providing for idi Geodetic Networks The only solution for large areas Rapid Static For baselines up to 20Km Short Occupation times Normally used for high production
  • 40. GPS Surveying Techniques y g q Stop and Go Detail Surveys. Any application Surveys where many points close together have to be surveyed Fast and economical Ideal for open areas Kinematic Used to track the trajectory of a moving object (continuous measurements) Can be used to profile roadways, stockpiles, etc.
  • 41. References R f http://www.glonass- ianc.rsa.ru/pls/htmldb/f?p=202:1:15000421459964108253 http://igscb.jpl.nasa.gov/ http://igscb jpl nasa gov/ http://www.navcen.uscg.gov/gps/precise/default.htm Interface Control Documents: http://www.navcen.uscg.gov http://www.Glonass-ianc.ras.ru htt // Gl i http://www.Galileoju.com