Global positioning system is now an integral part of our life. Wherever we want to go, we just have to input the place in our mobile and it will show the direction and expected time to be taken to reach the destination. Not only at an individual level but it has a mass scale use both in civil and military. Its accuracy is within 5 metres. Sometimes we need to look up at the sky and thank those satellites and Einstein instead of God.
Now there are 31 operational satellites dedicated for this task. A minimum of 24 satellites are required to accurately calculate the location on earth and 4 satellites are required to find your position at any point of time. In 2011, 3 more satellites were placed on orbit and the position of the satellites readjusted for better accuracy. So as of now 27 satellites are at work round the clock and 4 satellites are in reserve, a total of 31 satellites are orbiting the earth.
These satellites are about 20,200 kms above earth and moving at a constant speed of 3.9 kms/sec. Each satellites orbits the earth twice in a day. At that speed the clock on the satellite is actually slower by 7200 nanosecond per day that that of a clock on the surface of earth. A very small difference for us but its implication is important in the overall accuracy of locating a location for us.
Einstein had stated in his general theory of relativity that time runs slower at faster speed. He has also stated in the same theory that time runs slower where gravity is higher. In this case also gravity is more on earth surface than on the satellite. At the height of the satellite the gravitational effect is 4% less than that of earth’s surface. Therefore we have this minor difference in the precision of time on earth and the satellites. Gravity has a bigger effect on time variation; it is 45,900 nanosecond per day.
So the net effect is of 38,700 nanosecond per day. This can put you off by around 5kms, and that is a lot when you want to rely on your GPS to accurately reach your destination.
But we need not worry as this minor difference in time has been catered for in the atomic clocks used for this purpose both on ground and the satellites. The satellite clock run slower to compensate the difference.
Smartphones with GPS have an accuracy of 16 feet radius when standing under open sky, but may vary when under a bridge or building, or if the signal is bouncing off another structure. If the mapping software is faulty then also it can give wrong location and in case of solar storms or maintenance. Now the user error is less than 2.3 feet most of the time.
The US Air Force manages the GPS.
Thanks CryptoSmart