How Einstein saved the GPS

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3 years ago

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.

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3 years ago

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Thanks CryptoSmart

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3 years ago

Thank you Telesfor sir

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3 years ago

I'm a big fan of Albert Einstein. Many physicists would agree that his theories are the purest expression of genius in the history of humanity with all the ensuing applications. In this case, we talk about the Global Positioning System (GPS).

The GPS was developed by the US military in the middle of the Cold War in the 60s. It was originally used by the navy for navigational purposes. In a previous version, a ship could update the data on the position only once per hour. Over the following decades, the United States has continued to improve the system by launching more satellites. In the 80s, the Reagan administration decided to make available GPS technology for civilian purposes. The impetus for the solution was the Korean Airlines passenger plane shot down by the USSR in 1983, accidentally flying over the Soviet Union on its way from Alaska to Korea.The GPS system consists of 24 satellites flying around the earth in high orbit. These satellites travel at a speed of about 14.500 km per hour and their orbit is at an altitude of 19.000 kilometres. (For comparison, The orbital altitude of the International Space Station is about 400 kilometres). Each satellite has an atomic clock, the precision of which is about 1 nanosecondo. The satellites are distributed in such a way that from any part of the Earth's surface, at least four of them are in line of sight. A GPS receiver on the ground (or on an airplane in flight) It receives data about the time and location of these satellites using a radiofrequency signal 1,575 GHz.

Without the theory of relativity, Albert Einstein would not exist GPS. Ideas like crazy slow times at higher speed or bend a subject called four-dimensional space-time continuum by a massive object are crucial to the operation of the GPS. Instead of accurately measuring standing (and for the military, in inches) without taking into account of the theories of Einstein, You would be measured just in miles. But for an accurate indication of the path that is not enough. Within a very short period of time, such errors would accumulate and the entire system would become useless.The GPS receiver can calculate the distance to each satellite from the time taken by the radio waves that propagate at the speed of light. Knowing the exact distance of three satellites encoded within the signal and their position, the microprocessor of the receiver can determine its coordinates by means of trilateration. The trilateration is a more complex form of triangulation, which uses intersecting spheres to determine the location based on the distance from the other three points of the three-dimensional space. a fourth satellite is needed to verify backup and temporary fixes to a non-atomic receiver.

Measure the travel time of radio waves which propagate on these relatively short distances requires an extremely high precision. The GPS requires accuracy to within a few nanoseconds. And this requires an appeal to the special and general theory of relativity of Einstein. Special relativity regards objects moving at high speed, while the general relativity is a theory of gravity.

Einstein published his theory of special relativity in 1905 and forever changed our fundamental ideas about the universe. It showed that in contrast to Newton and common sense, the speed of light, and not the time or the distance, It is a truly universal constant. His theory states that while the speed of an object approaches the speed of light, time slows down in relation to the observer “immobile” on earth. I highlighted the word “immobile” in quotes, because in reality there is nothing Property, and right now we are moving on Earth, making revolutions around the sun in a galaxy which rotates in an expanding Universe

Nice written article dear!

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3 years ago

Thank you for your detailed further elaboration. Indeed he should be remembered more as his contribution is immense, the problem is common man like us dont understand fully his work and contribution to mankind.

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3 years ago