WORKSHOP PLAN ROCKET SCIENCE HISTORY OF GPS DEVELOPMENT COMPONENTS OF THE GPS SYSTEM HOW GPS GIVES US POSITIONS METHODS & APPLICATIONS
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2 WORKSHOP PLAN ROCKET SCIENCE HISTORY OF GPS DEVELOPMENT COMPONENTS OF THE GPS SYSTEM HOW GPS GIVES US POSITIONS METHODS & APPLICATIONS
3 LINK TO SLIDES: ftp://ftp.ngs.noaa.gov/dist/whenning/mssfall2011/
4 AT C, 1 NANOSECOND = 30 CM! EVERY EPOCH OF OBSERVATION MUST COMPUTE CHANGE IN POSITION DUE TO EARTH ROTATION, SATELLITE ORBIT CHANGE AND RELATIVITY!
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6 900+/- OPERATIONAL SATELLITES- HALF COMMERCIAL, MOST LEO & POLAR ORBIT-HUNDREDS OF THOUSANDS OF PIECES OF SPACE DEBRIS
7 A SHORT HISTORY of GPS DEVELOPMENT 1956 Friedwart Winterberg (theoretical physicist at U of NV) proposed test of general relativity using atomic clocks in satellites 1958 Two American Physicists: William Guier & Weiffenbach (JHAPL), monitor Sputnik using Doppler effect principles of its radio signal to compute its orbit using UNIVAC II, leading to the development of the Navy TRANSIT system (using the reverse solution) First Navy TRANSIT satellite launched. System of 5 satellites with 1 fix/hour Air Force Project 57 3-D LORAN-like system study births the GPS concept Navy places atomic clocks in space Cold war arms race drives research using billions of dollars for precise navigation for: submarine ballistic missiles, strategic bombers, and ICBMs.
8 HOW DID GPS EVOLVE? PRECURSORS:LORAN (WWII at MIT), DECCA NAVIGATOR (1940 S) RECEIVER RADIO TRANSMITTER AT A KNOWN POSITION RADIO TRANSMITTER AT A KNOWN POSITION The difference between the time of reception of synchronized signals from stations A and B is constant along each LINE OF POSITION
9 LINES OF TIME DIFFERENCE CAN DETERMINE POSITION SYNCHRONIZED SIGNALS
10 A SHORT HISTORY of GPS DEVELOPMENT Labor day Weekend, military officers meet at the Pentagon create the Defense Navigation Satellite System (DNSS)- renamed NAVSTAR First experimental Block I GPS satellite launched 1983 President Reagan issues directive to make GPS freely available for public use, after Korean flight 007 shot down over Russian airspace GPS command & control center moved to 2 nd Satellite Control Squadron at Falcon AF Station in Colorado Springs. 10 Block I satellites in orbit. February 14, 1989 First Block II satellite launched Gulf war is first conflict where GPS is used satellites in orbit April 1995 Full operational capability declared by Air Force Space Command.
11 A SHORT HISTORY of GPS DEVELOPMENT 1996 GPS declared a dual use (military and civil) system by President Clinton Midnight May,1, Degraded civilian signal (Selective Availability) ordered turned of at by President Clinton President Bush establishes National Executive Committee on Space Based Position Navigation and Timing(PNT) 2005 First modernized GPS satellite IIR-M1 launched with L2C signal. April, 2010 GPS satellite IIR-20M locks third frequency allocation with first L5 broadcast. Oldest operational GPS satellite is 21 years old (stated expected life was 7 years).
12 GLOBAL POSITIONING SYSTEM- Operated by NAVSTAR GPS Joint Program Office at the Space and Missile Systems Center, Los Angeles Air Force Base, California. NAVIGATION, SATELLITE TIMING AND RANGING
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14 GPS GROUND CONTROL SEGMENT
15 GROUND CONTROL SEGMENT Source:
16 FUNCTIONS OF THE GROUND SEGMENT Satellite-tracking-station on Hawaii (Source: Schriever Air Force Base Satellite Flyer Vol. 6; No.12) Diagram Source: GPS System Segments Arthur J. Dorsey and Willard A. Marquis Lockheed Martin Corporation Peter M. Fyfe The Boeing Company Elliott D. Kaplan and Lawrence F. Wiederholt The MITRE Corporation
17 ORBITAL ERRORS CONTRIBUTING TO PPM ERRORS 1 cm! 2-5 m (See user guidelines references for Graphic: Ahn, 2005)
18 GPS SPACE SEGMENT GPS III-A
19 JUNK IN SPACE
20 LAUNCH HISTORY
21 GPS ORBITAL PLANES & SLOTS
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23 GPS NAVIGATION MESSAGE
24 Each GPS satellite continuously broadcasts a navigation message at a rate of 50 bits per second (see bitrate). Each complete message is composed of 30-second frames, distinct groupings of 1,500 bits of information. Each frame is further subdivided into 5 subframes of length 6 seconds and with 300 bits each. Each subframe contains 10 words of 30 bits with length 0.6 seconds each. Each 30 second frame begins precisely on the minute or half minute as indicated by the atomic clock on each satellite. [61] The first part of the message encodes the week number and the time within the week, [62] as well as the data about the health of the satellite. The second part of the message, the ephemeris, provides the precise orbit for the satellite. The last part of the message, the almanac, contains coarse orbit and status information for all satellites in the network as well as data related to error correction. [63] All satellites broadcast at the same frequencies. Signals are encoded using code division multiple access (CDMA) allowing messages from individual satellites to be distinguished from each other based on unique encodings for each satellite (that the receiver must be aware of). Two distinct types of CDMA encodings are used: the coarse/acquisition (C/A) code, which is accessible by the general public, and the precise (P) code, that is encrypted so that only the U.S. military can access it. The ephemeris is updated every 2 hours and is generally valid for 4 hours, with provisions for updates every 6 hours or longer in non-nominal conditions. The almanac is updated typically every 24 hours. Additionally data for a few weeks following is uploaded in case of transmission updates that delay data upload.
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28 NEW SIGNALS BOTTOM LINE: L 5 ( MHz), L 2 C (NEW CIVIL CODE) More robust Faster AR Stronger signal - lower carrier-to-noise-density ratio (c/n 0 ) values than would otherwise be possible. Better signal tracking & differentiation especially at lower elevations means better code positioning under canopy (the better cross-correlation performance means that the reception of weak gps signals is much less affected by simultaneously received strong gps signals, which can be of significant advantage in difficult signal reception conditions.) Code iono error mitigation using L1 C/A, L2C, & P2 differencing (eventually L5 on block IIF & L1C on block III) Longer baseline solutions Faster ambiguity resolution improved QA/QC with additional frequency checking Faster, more accurate NAV updates L2C has similar multipath characteristics as L1 C/A
29 TIME - WHAT DOES GPS USE? TAI / UT1 TIME International Atomic Time (TAI) as a time scale is a weighted average of the time kept by over 200 atomic clocks in about 70 national laboratories worldwide based on VLBI measurements UT1 is the principal form of Universal Time. While conceptually it is mean solar time at 0 longitude, precise measurements of the Sun are difficult. Hence, it is computed from observations of distant quasars using long baseline interferometry, laser ranging of the Moon and artificial satellites, as well as the determination of GPS satellite orbits. UT1 is the same everywhere on Earth, and is proportional to the rotation angle of the Earth with respect to distant quasars, specifically, the International Celestial Reference Frame (ICRF)
30 TIME - WHAT DOES GPS USE? UTC TIME Because Universal Time (UTC)is synchronous with night and day, and more precise atomic-frequency standards drift away from this, UT is still used to produce a correction (called a leap second) to atomic time, in order to obtain a broadcast form of civil time that carries atomic frequency. Thus, civil broadcast standards for time and frequency usually follow TAI closely, but occasionally change discontinuously (or "leap") in order to prevent them from drifting too far from mean solar time. As of 1 January 2011 ( ), 00:00:00 UTC, TAI was exactly 34 seconds ahead of UTC (this is the case since 1 January 2009): an initial difference of 10 seconds at the start of 1972, plus 24 leap seconds in UTC since 1972; the last leap second was added on 31 December 2008
31 TIME - WHAT DOES GPS USE? GPSST TIME While most clocks are synchronized to Coordinated Universal Time (UTC), the atomic clocks on the satellites are set to GPS time (GPST): The difference is that GPS time is not corrected to match the rotation of the Earth, so it does not contain leap seconds or other corrections that are periodically added to UTC. GPS time was set to match Coordinated Universal Time (UTC) in 1980, but has since diverged. The lack of corrections means that GPS time remains at a constant offset with International Atomic Time (TAI) (TAI GPS = 19 seconds). Periodic corrections are performed on the on-board clocks to keep them synchronized with ground clocks
32 GPS TIME ORIGIN = JANUARY 1, 1980, ATOMIC TIME DELAYED 19 SECONDS TO TAI AT ORIGIN UTC IS DELAYED 15 SECONDS TO GPS TIME TIME OF WEEK IN SECONDS FROM SUNDAY MORNING THROUGH SATURDAY NIGHT = SECONDS
33 GNSS GPS GLONASS GALILEO COMPASS (BEIDOU-2)
34 GPS USERS SEGMENT
35 EXPANDING GPS MARKETS MOBILE MAPPING SYSTEMS MACHINE GUIDANCE GIS INFRASTRUCTURE
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38 WHAT DATA DOES GPS NATIVELY GIVE ME? NAD 83? NAVD 88? LATITUDE, LONGITUDE?
39 Z Zero Meridian -Y - -X ALL GPS SATELLITES POSITIONS ARE MAINTAINED IN ECEF X,Y,Z (WGS 84 DATUM) X Mean Equatorial Plane -Z Y GNSS POSITIONS ARE ECEF, XYZ
40 Z Axis X,Y,Z TO φ,λ,h h P (X,Y,Z) = P (φ,λ,h) Earth s Surface Zero Meridian Reference Ellipsoid φ Y Axis λ X Axis Mean Equatorial Plane
41 ELLIPSOID, GEOID & ORTHO HEIGHTS H 88 = h 83 N 09
42 NGS DTASHEET- E 167
43 E-167
44 GNSS TO ANY DATUM EXAMPLE: GPS TO SPC + ELEVATION: GNSS ECEF X,Y,Z (WGS 84 & PZ90) NAD 83 (φ,λ,h) SPC N,E,h + GEOID XX = SPC N,E,H OR CALIBRATE TO 4-5 SITE POINTS IN THE DESIRED DATUM. THIS IS USED TO LOCK TO PASSIVE MONUMENTATION IN THE PROJECT AREA.
45 CONSTRAINING PASSIVE MARKS
46 CHANGES IN GNSS cm??? 1-3 m GPS: L2C L5 CARRIER New Code on L5 L1C GLONASS- FULL OPERATIONAL CAPABILITY 2010 EUROPEAN UNION - GALILEO CHINA COMPASS/BEIDOU JAPAN- QZSS FIRST LAUNCH 2010 = 115 SATELLITES? BETTER RESISTANCE TO INTERFERENCE FASTER AMBIGUITY RESOLUTION AUGMENTED CODE APPLICATIONS
47 115+ SATELLITES IN TEN YEARS. 1.5 DM AUTONOMOUS POSITIONING NEW GEOMETRICAL DATUM ITRF ALIGNED GEOCENTER BUT PROBABLY FIXED ON NORTH AMERICAN PLATE. NSRS ENTIRELY REALIZED BY ACTIVE STATIONS OF THE FOUNDATION CORS NEW NATIONAL GEOPOTENTIAL DATUM 1 CM GRAVIMETRIC GEOID, ORTHOMETRIC HEIGHT SITE CONTROL TO 2 CM RELATIVE TO THE NATIONAL DATUM. MORE REMOTE SENSING: 2-3 DM SATELLITE IMAGERY/MAPPING, MMS INDOOR AND UNDERGROUND POSITIONING
48 TYPICAL GNSS EQUIPMENT STATIC: ALL: FIXED HEIGHT TRIPOD, DUAL FREQUENCY GPS RECEIVER (MAY HAVE GLONASS), GEODETIC ANTENNA, EXTERNAL OR INTERNAL BATTERIES, CELL PHONE, OBSERVATION SCHEDULE, MAP BOOK, LOG BOOK, VEHICLE.
49 TYPICAL GNSS EQUIPMENT REAL TIME:BASE: FIXED HEIGHT TRIPOD, DUAL FREQUENCY GPS RECEIVER (MAY HAVE GLONASS), GEODETIC ANTENNA, EXTERNAL BATTERIES, UHF RADIO GEAR OR DATA MODEM. ROVER: RECEIVER/ANTENNA INTEGRATED UNIT, CARBON FIBER POLE, DATA COLLECTOR, INTERNAL UHF RADIO (RECEIVE) OR DATA MODEM SINGLE BASE ONLY BOTH SINGLE BASE & RTN
50 POSITIONS FROM GNSS OBSERVATIONS STATIC POST PROCESSING- USING PASSIVE MARKS STATIC ACTIVE STATION POST PROCESSING (CORS DATA) STATIC NGS POST PROCESSING (OPUS) REAL TIME YOUR BASE REAL TIME NETWORK SUPPLIED AUTONOMOUS
51 WHAT CAN I EXPECT FROM STATIC GNSS POSITIONING? NETWORK CAMPAIGNS: = SUB-CENTIMETER GEOMETRICAL WITHIN NETWORK, 2 CENTIMETER ORTHOMETRIC HEIGHTS SINGLE POSITION: (CORS/OPUS) 1 CENTIMETER TO NSRS GEOMETRICAL WITH 4 HOURS, 5 CENTIMETERS ORTHOMETRIC HEIGHT
52 WHAT CAN I EXPECT FROM REAL TIME POSITIONING? REAL TIME NETWORKS (RTN): A FEW CENTIMETERS. GEOMETRICAL. MOST RTN PRODUCE GOOD HORIZONTAL VALUES. OUR HORIZONTAL SYSTEM IS BASED ON ACTIVE REFERENCE STATIONS (NGS CORS), AS ARE THE RTN STATIONS. 7 OR 8 CENTIMETERS ORTHOMETRIC HEIGHT. BECAUSE ORTHOMETRIC HEIGHTS ( ELEVATIONS ) ARE BASED ON PASSIVE MONUMENTS, THE RTN USER SHOULD, FOR THE MOST PART, CONSTRAIN THE PASSIVE MARK VALUES IN A LOCALIZATION. SINGLE BASE: 2 CENTIMETERS REPEATABLE GEOMETRIC & ORTHOMETRIC HEIGHT TO A LOCAL BASE POSITION LESS THAN 10 K DISTANT. HOW DOES THAT BASE RELATE TO THE TRUTH?
53 WHY DOES MY CAR GPS GIVE ME ERRORS? Datum Accuracy Grid/ground INS Degradation Map errors
54 PRECISION VS. ACCURACY PRECISION IS A COMPUTED STATISTICAL QUANTITY TO THE SOURCE OF THE MEASUREMENT - ALIGNMENT TO THE RTN OR PASSIVE MARK SHOWS PRECISION OF THE OBSERVATION (PER THE DATA COLLECTOR). ACCURACY IS A COMPUTED STATISTICAL QUANTITY TO THE REALIZATION OF THE DATUM - ALIGNMENT OF THE RTN OR PASSIVE MARK TO THE NSRS SHOWS ACCURACY (PER ESTABLISHED METHODOLGY)
55 PRECISION vs. ACCURACY ACCURATE NOT PRECISE PRECISE NOT ACCURATE ACCURATE AND PRECISE
56 GPS SIGNALS- CODE PHASE 37 suitable codes are referred to as GOLD-codes (names after a mathematician). For these GOLDcodes the correlation among each other is particularly weak, making an unequivocal identification possible. Navigation Data 50Hz Data, Satellite Almanac, Satellite Ephemeris, Satellite Clock Error GPS Time to UTC Ionosphere Model parameters User Range Accuracy(URA)
57 CODE MODULATES THE CARRIER WAVE PHASE MODULATION: When a data signal shall be modulated onto a carrier signal by phase modulation, the sine oscillation of the carrier signal is interrupted and restarted with a PHASE SHIFT OF 180. This phase shift can be recognized by a suitable receiver and the data can be restored. Phase modulation leads to an extension of the frequency range of the carrier signal (leading to a spread spectrum) depending on how often the phase is shifted. When the phase changes, wave peaks are followed by wave minimums in a shorter distance than were in the original carrier signal (as can be seen in the graph). This kind of modulation can only be used for the transmission of digital data. SOURCE: /gps/signals.htm
58 GPS SIGNAL STRUCTURE
59 PRN CODE MODULATION
60 GPS USERS SEGMENT GPS SIGNALS- CARRIER PHASE
61 THE INTEGER AMBIGUITY Resolving the integer ambiguity allows phase measurements to be related to distances WGS 84 X,Y,Z λ = First Partial Wavelength Nλ = Integer Ambiguity Distance = Nλ + λ
62 L1 & L2 CARRIER PHASE L1 = MHz = 154 x MHz L2 = MHz = 120 x MHz And L5 = MHz = 115 x MHz The wavelengths of the carriers are: λ1 = cm λ2 = cm Λ5 = cm
63 WHY DOES GPS USE CERTAIN FREQUENCIES? Choice of the carrier frequency: To transport data signals, a suitable carrier frequency is required. -Frequencies should be chosen below 2 GHz, as frequencies above 2 GHz would require beam antennae for the signal reception -Ionospheric delays are enormous for frequency rages below 100 MHz and above 10 GHz -The speed of propagation of electromagnetic waves in media like air deviates from the speed of light (in vacuum) the more, the lower the frequency is. For low frequencies the runtime is falsified. -The PRN-codes require a high bandwidth for the code modulation on the carrier frequency. Therefore a range of high frequencies with the possibility of a high bandwidth has to be chosen. The chosen frequency should be in a range where the signal propagation is not influenced by weather phenomena like, rain, snow or clouds. SOURCE:
64 THE AMBIGUITY SEARCH. The ambiguity is an integer number (a multiple of the carrier wavelength). The integer is different for the L1 and L2 phase observations. The integer ambiguity is different for each satellite-receiver pair. The integer ambiguity is a constant for a particular satellite-receiver pair for all epochs of continuous tracking (that is, as long as no cycle slips occur) The carrier phase measurement from one observation epoch to another is a measure of the change in satellite-receiver range. The determination of the cycle ambiguity integer is known as ambiguity resolution, and is generally not an easy task because of the presence of other biases and errors in the carrier phase measurement.
65 SOME REAL TIME INTEGER FIXING TECHNIQUES- DUAL FREQUENCY ALSO ENABLES OTF INITIALIZATION Wide Laning (L1 L2) = c (speed of light) ( MHz MHz) or 299, Km/sec MHz = m wave length. Narrow Laning (L1 + L2) = c (speed of light) ( MHz MHz) or 299, Km/sec MHz = m wave length Iono Free f(l 1 )ion-free = a 1.f(L 1 ) + a 2.f(L 2 ) with a 1 = f 1 2/ (f 12 - f 22 ) and a 2 = - f 1. f 2 /(f 12 - f 22 ) Triple Differencing Kalman Filtering Double Differencing
66 INTEGER SEARCH
67 WHAT CAN AFFECT THE GPS SIGNAL? WHAT SHOULD I BE CONCERNED ABOUT WHEN COLLECTING DATA?
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69 IONO & TROPO LAYERS AND THEIR EFFECT ON THE GNSS SIGNAL
70 TROPOSPHERE DELAY The more air molecules, the slower the signal (dry delay) High pressure, Low temperature 90% of total delay relatively constant and EASY TO CORRECT FOR The more water vapor in the atmosphere the slower the signal (wet delay) High humidity 10% of total delay Highly variable and HARD TO CORRECT FOR
71 IONOSPHERIC EFFECTS ON POSITIONING HIGH IONO- NO NETWORK AVERAGE IONO- NO NETWORK 2D PRECISION/ACCURACY (CM) SINGLE BASE 10 KM ( ) ( ) NETWORK 30 KM WITH NETWORK DISTANCE TO REFERENCE STATION (KM) (SOURCE-BKG- GERMANY)
72 IONO, TROPO, ORBIT CONTRIBUTE TO PPM ERROR REMEMBER GNSS EQUIPMENT MANUFACTURERS SPECS!
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74 SUNSPOT CYCLE Sunspots follow a regular 11 year cycle We are just past the low point of the current cycle Sunspots increase the radiation hitting the earth's upper atmosphere and produce an active and unstable ionosphere
75 DILUTION OF POSITION = DOP UNITLESS PRN ERROR MULTIPLIER HDOP = HORIZONTAL VDOP = VERTICAL PDOP = POSITION (HYPOTENUSE OF H & V) TDOP = TIME GDOP = GEOMETRIC (PDOP + TIME) RDOP = RELATIVE (REAL TIME PARAMETERS)
76 SATELLITES/ DOP WITH OBSTRUCTIONS
77 SATELLITES/ DOP WITH OBSTRUCTIONS
78 WHAT ABOUT GLONASS? GPS AND GLN DUAL CONSTELLATION RT POSSIBILITIES: GPS 5, GLN = 0 BEST SCENARIO = 7 OR MORE GPS GPS = 4, GLN = 2 GPS = 3, GLN = 3 GLN K SATS WILL HAVE A CDMA GPS = 2, GLN = 4 (L3) FORMAT SIGNAL (Can't initialize with only GLN Sats.)
79 GNSS CAN HELP IN URBAN CANYONS
80 GNSS CAN HELP IN CORRIDOR SURVEYS
81 GNSS CAN HELP IN OBSTRUCTED AREAS
82 Different Phase Patterns Antenna Type A Antenna Type B Note that SV elevation and varying phase patterns affect signal interpretation differently
83 RELATIVE & ABSOLUTE ANTENNA CALIBRATIONS
84 THE TECHNOLOGY SWEET SPOT SBAS: 2 M H, 6 M V, 0.3 M SMOOTHED H, CHEAP COMMERCIAL DGPS: FEW DM, $$ USCG BEACON: METER+, CHEAP DIFFERENTIAL LEVELING: 2-4 CM, LABOR/TIME INTENSIVE, $$$ GEODETIC LEVELING: mm, LABOR/TIME INTENSIVE, $$$$$ USER BASE RTK: 2-4 CM H, 3-5 CM V, REQUIRES INITIAL INVESTMENT RTN: 3-4 CM H, 5-7 CM V, REQUIRES INITIAL INVESTMENT(BUT ½ OF RTK) AERIAL MAPPING:.10 M H,.20 M V, $$$ LIDAR: M V SATELLITE IMAGERY: 0.5 METER H RESOLUTION, 3 M LOCATION, $$$ LOW ALTITUDE AERIAL IMAGERY: 2-4 CM H, 3-5 CM V, $$$ TERRESTRIAL LASER SCANNING: PROJECT SITES ONLY, M H, 0.02 M V, REQUIRES INITIAL INVESTMENT
85 LightSquared LightSquared, formerly known as SkyTerra and Mobile Satellite Ventures (MSV), is based in Reston, Virginia. LightSquared is deploying an open wireless $14 billion broadband communications system with uplink (base station to handset) signals operating in the MHz frequency band. LightSquared plans to provide coverage to the entire United States by deploying more than 40,000 ATC base stations by Recently, the Federal Communications Commission (FCC) conditionally approved an application for a waiver allowing LightSquared to repurpose the satellite spectrum immediately neighboring Global Positioning System (GPS) for use ground-based transmissions via Ancillary Terrestrial Component (ATC). Report on possible GPS Interference to be submitted by June 15
86 PROPOSED L1 BAND ALLOCATIONS FOR LIGHTSQUARED MHz Mhz
87 The Economic Benefits of Commercial GPS Use in the U.S. and The Costs of Potential Disruption Nam D. Pham, Ph.D. June 2011 DIRECT ECONOMIC BENEFITS OF GPS TECHNOLOGY ON COMMERCIAL GPS USERS ARE ESTIMATED TO BE OVER $67.6 BILLION/YEAR IN THE UNITED STATES $122.4 BILLION/YEAR 3.3 MILLION JOBS 5.8 MILLION JOBS AFFECTED DIRECT ECONOMIC COSTS OF FULL GPS DISRUPTION TO COMMERCIAL GPS USERS AND GPS MANUFACTURERS ARE ESTIMATED TO BE $96 BILLION PER YEAR IN THE UNITED STATES, THE EQUIVALENT OF 0.7 PERCENT OF THE U.S. ECONOMY
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89 URBAN AREA EXAMPLE
90 PBO STREAMS
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92 CRADLE TO GRAVE GNSS! GPS Helps Track Babies in Nurseries Hospitals all over the world are starting to use GPS to track newborns in their nurseries as a security measure. Instead of looking for a traditional tombstone to mark the final resting place of a loved one, friends and relatives will be able to find the location of the deceased using a GPS device or mobile phone. "The park will look very natural, just grass and trees. There will be no headstones and instead people will be buried in the park and a GPS locator placed in the coffin, Michael McMahon chief executive of the Catholic Cemeteries Board told ABC News.
GPS GROWTH WORKSHOP PLAN BILLION USERS 1 BILLION RECEIVERS ECONOMIC IMPACT = $50 BILLION MILLION USERS ECONOMIC IMPACT = $6.
WORKSHOP PLAN ROCKET SCIENCE HISTORY OF GPS DEVELOPMENT COMPONENTS OF THE GPS SYSTEM 2000 1.5 MILLION USERS ECONOMIC IMPACT = $6.2 BILLION GPS GROWTH 2010 1 BILLION USERS 1 BILLION RECEIVERS ECONOMIC IMPACT
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