00:01
In the question, we are asked to consider a geosynchronous satellite and the question is about the time period of the satellite.
00:22
So let us see about it.
00:25
Geosynchronous satellite orbits with a period which is same as the earth's rotation period.
00:38
So the time period of the satellite is equal to rotation period of that is equal to one sidereal day.
00:57
One sidereal day it is the time taken by earth to complete one rotation on its own axis.
01:16
So which is equal to 23 hours, 56 minute and 4 seconds or it is equal to 23 .93 hours.
01:37
It is not 24 hours.
01:43
We will see why it is so.
01:46
Let us look at this figure.
01:47
Let us assume that this is sun and this is earth and the earth is wrong.
01:52
Rotating on its own axis in this direction.
01:55
Along with this rotation, earth is constantly moving along its orbit around the sun.
02:03
So, after one rotation, a different point on the planet faces the sun directly at the end of 360 degree spin.
02:14
That is, if initially the earth has this point facing towards the sun after 360 degree, this point will be facing like this.
02:28
So it will have to cover one more degree so that it will face the sun.
02:35
That is why we have chosen to measure day by seeing position of sun in the sky rather than by earth's exact rotation.
02:46
The second part of the question deals with altitude of the satellite...