Global positioning system and its mathematical form.
By Mustahsan Khan _ BS(physics-Nanotechnology) (International Islamic University Islamabad) Pakistan.
Global positioning system and its mathematical form.
By Mustahsan Khan _ BS(physics-Nanotechnology) (International Islamic University Islamabad) Pakistan.
The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radionavigation system owned by the United States government and operated by the United States Space Force.
It is one of the global navigation satellite systems (GNSS) that provides geolocation and time information to a GPS receiver anywhere on or near the Earth where there is an unobstructed line of sight to four or more GPS satellites.
Obstacles such as mountains and buildings block the relatively weak GPS signals.
Global Positioning System (GPS) is the only system today able to show one’s own position on the earth any time in any weather, anywhere. This paper addresses this satellite based navigation system at length. The different segments of GPS viz. space segment, control segment, user segment are discussed. In addition, how this amazing system GPS works, is clearly described. The various errors that degrade the performance of GPS are also included. DIFFERENTIAL GPS, which is used to improve the accuracy of measurements, is also studied. The need, working and implementation of DGPS are discussed at length. Finally, the paper ends with advanced application of GPS.
The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radionavigation system owned by the United States government and operated by the United States Space Force.
It is one of the global navigation satellite systems (GNSS) that provides geolocation and time information to a GPS receiver anywhere on or near the Earth where there is an unobstructed line of sight to four or more GPS satellites.
Obstacles such as mountains and buildings block the relatively weak GPS signals.
Global Positioning System (GPS) is the only system today able to show one’s own position on the earth any time in any weather, anywhere. This paper addresses this satellite based navigation system at length. The different segments of GPS viz. space segment, control segment, user segment are discussed. In addition, how this amazing system GPS works, is clearly described. The various errors that degrade the performance of GPS are also included. DIFFERENTIAL GPS, which is used to improve the accuracy of measurements, is also studied. The need, working and implementation of DGPS are discussed at length. Finally, the paper ends with advanced application of GPS.
GPS helps us identify exact location of a place/feature in the globe. Now-a-days we can carry out survey, enter data and process data. GPS is very helpful in soil survey
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Instructions for Submissions thorugh G- Classroom.pptx
GLOBAL POSITIONING SYSTEM
1. SARVAJANIK COLLEGE OF
ENGINEERING
& TECHNOLOGY, SURAT
1
Manoj Patel (Enrollment No. 120420748004) Guided by: Prof. Bhasker Bhatt
Guided by: Prof. Anuj
Chandiwala
"GPS"
GEOSPATIAL TECHNIQUES (IDE-II)
2. CONTENTS
2
1. Introduction
2.Three Aspects Concern GPS
3. Principle of Measuring Signal Transit Time
4. Determining a Position on a Plane
5. Effect and Correction of Time Error
6. Description of The Entire System
7. Differential GPS
8. References
3. Introduction
3
Using the Global Positioning System the following
two values can be determined anywhere on Earth.
One’s exact location (longitude, latitude & height
co-ordinates)(20m to approx.1mm)
The precise time (UTC) accurate to within a range
of 60ns to approx. 5ns.
5. 5
GPS (NAVigation System with Timing & Ranging
Global Positioning System, NAVSTARGPS) was
developed by the U.S. Department of
Defense(DoD) (civilians and military personnel)
The civil signal SPS(Standard Positioning Service)
can be used freely by the general public, whilst the
military signal PPS(Precise Positioning Service)can
only be used by authorized government agencies.
The first satellite was placed in orbit on 22nd
February 1978, and there are currently 24
operational satellites orbiting the Earth at a height
of 20,180 km on 6 different orbital planes.
Their orbits are inclined at 55° to the equator,
ensuring that a least 4 satellites are in radio
communication with any point on the planet. Each
satellite orbits the Earth in approximately 12 hours
6. 6
Three Aspects Concern GPS
It had to provide users with the capability of
determining position, speed and time, whether in
motion or at rest.
It had to have a continuous, global, 3-dimensional
positioning capability with a high degree of
accuracy, irrespective of the weather.
It had to offer potential for civilian use.
7. 7
Principle of Measuring Signal Transit Time
At some time or other during a stormy night you have
almost certainly attempted to work out how far away
you are from a flash of lightning.
The distance can be established quite easily distance
= the time the lightning flash is perceived (start time)
until the thunder is heard (stop time) multiplied by the
speed of sound(approx. 330 m/s). The difference
between the start and stop time is termed the transit
time.
Signal Transit Time
8. Distance = transit time • the speed of sound
The GPS system functions according to exactly the
same principle. In order to calculate one’s exact
position, all that needs to be measured is the signal
transit time between the point of observation and
four different satellites whose positions are known.
Generating GPS Signal Transit Time
9. 9
Atomic clocks are currently the most precise
instruments known, losing a maximum of one
second every 30,000 to 1,000,000 years.
In order to make them even more accurate,
they are regularly adjusted or synchronised
from various control points on Earth.
Each satellite transmits its exact position and its
precise on board clock time to Earth at a
frequency of 1575.42 MHz. These signals are
transmitted at the speed of light (300,000
km/s) and therefore require approx. 67.3 ms to
reach a position on the Earth’s surface located
directly below the satellite.
11. 11
Measuring signal transit time and knowing the
distance to a satellite is still not enough to
calculate one’s own position in 3-D space.
To achieve this, four independent transit time
measurements are required. It is for this
reason that signal communication with four
different satellites is needed to calculate one’s
exact position.
12. 12
Determining a Position on a Plane
Two satellites are sufficient to determine a position on the
X/Y plane
13. 13
In reality, a position has to be determined in 3-d, rather than on a
plane. (height Z), an additional third satellite must be available
to determine the true position. If the distance to the three
satellites is known, all possible positions are located on the
surface of three spheres whose radii correspond to the distance
calculated.
The position sought is at the point where all three surfaces of the
spheres intersect.
14. 14
Description of The Entire System
The GPS comprises three segments
1. The space segment (all functional satellites)
2. The control segment (all ground stations involved
in the monitoring of the system: master control
station, monitor stations, and ground control
stations)
3. The user segment (all civil and military GPS
users)
18. 18
Control Segment - The control & monitoring stations
The control segment (Operational Control System OCS)
consists of a Master Control Station located in the state of
Colorado, five monitor stations equipped with atomic clocks
that are spread around the globe in the vicinity of the equator,
and three ground control stations that transmit information to
the satellites.
Most important tasks of the control segment
1. Observing the movement of the satellites and computing
orbital data
2. Monitoring the satellite clocks and predicting their
behaviour
3. Synchronizing on board satellite time
4. Relaying precise orbital data received from satellites in
communication
5. Relaying further information, including satellite health,
clock errors etc.
19. Differential GPS
19
The majority of data collected using GPS for GIS is
differentially corrected to improve accuracy.
The underlying premise of differential GPS (DGPS) is that
any two receivers that are relatively close together will
experience similar atmospheric errors.
This GPS receiver is the base or reference station. The
base station receiver calculates its position based on
satellite signals and compares this location to the known
location.
The difference is applied to the GPS data recorded by the
second GPS receiver, which is known as the roving
receiver.
The corrected information can be applied to data from the
roving receiver in real time in the field using radio signals
or through postprocessing.
20. 20
References
1. TITLE: GPS BASICS, Introduction to the system
Application overview
Date: 26/03/2002 Author: Jean-Marie Zogg
www.u-blox.com
2. Global Positioning System,
Standard Positioning System Service, Signal Specification,
2nd Edition, 1995, page 18,
http://www.navcen.uscg.gov/pubs/gps/sigspec/gpssps1.pdf