Article on GPS (Global Positioning System)

 In the olden days our ancestors used to work very hard to remember some place. They used to bury some places in the land to memorize the places and make identification marks. They used to identify places with the help of identification marks and maps. They used the sun in the day and the position of the taro at night for direction.

But in today's era, all these things have become so easy. A GPS which has now come in mobile, can tell you your position in city, country and world. Actually G.P.S. indicates the coordinates. Since the coordinates of every place of the earth are fixed, with the help of the map, we change in the city or country and we get to know our position.

All the places of the earth can be identified by three coordinates. As we see in Naxo, we can mark every point of the Earth with the help of latitude and longitude line. Height becomes the third coordinate for things above the earth. Thus every point can be marked with the help of these three coordinates latitude, longitude and height. GPS, the system likewise identifies all the places on the earth with the help of three coordinates, which is GPS. It is called the coordinate.

GPS, In fact, there is a group of 27 artificial satellites (24 working and 3 working if someone is damaged). The army had built it for itself but later opened it to everyone. All these artificial satellites revolve at a height of 1200 miles from the earth and they make two rounds in a day. All these artificial satellites are arranged in such a way that at least four satellites are visible on the earth at any given time.

GPS, the method of working on a principle of mathematics is called coordinate geometry (method of making maps). It works in three dimensions (3D). To understand this easily, let us understand in the first two dimensions (2D).

Two dimensional geometry

Suppose you are somewhere in India and you have no idea where you are. In such a situation, you will get to know from your friend that you are at a distance of 650 km from location-1 and 500 km from place-2, from the first information you get to know that you consider location-1 as the center. The tax is said on the drawn circle. You will get another circle from the second information. Both circles cut each other in two places. Now the possibility of you being confined in these two places.

Similarly, if you know your position from a third place, then you will get three circles.

If you come to know that you are 600 km away from place 3, then you will have three circles. These three circles will cut each other at the same point, which will be your position. In this way, if you are able to find out how far you are from the three identity symbols, then you can find your definite location by geometric method.

GPS, it also works on the same principle, just calculating three dimensions instead of two dimensional.

Three dimensional geometry

It is not easy to imagine a picture of three Ayamo because there is a circle instead of a circle. If you know that you are at a distance of 20 km from satellite A, then you can imagine that you have placed the satellite on the surface of a sphere having radius of 20 km as a center. Now if you came to know that you are at a distance of 20 km from satellite B then you will get another ball like the first sphere which will cut the first sphere into the shape of a circle. This means that you are somewhere on the circle. Now, you will also make a third circle, which will cut the first circle at 2 places, by satellite. If we consider the earth as the fourth sphere, one will be on the earth and the other in the sky. Your position is the place where it will be on earth.

GPS, To calculate, two things are required.

1. Position of at least three satellites.

2. Distance of all the three planets from you.

GPS, With the help of both of them, the GPS tells the coordinate of the place on earth where you are. If you are in the air, the Earth's sphere does not work, therefore a fourth satellite is needed. In this way, with the help of four satellites, you can also find coordinates with the help of GPS.