00:01
We have a satellite that is in a geosynchronous circular orbit above the surface of the earth, and the satellite is 3 .58 times 10 to the 7 meters away from the surface of the earth.
00:14
The problem wants us to find the orbital speed of this satellite.
00:18
So first, we need to understand what a geosynchronous circular orbit is.
00:23
Here i've drawn the earth and a red satellite box orbiting around at a height h, and geosynchronous means it takes one day for the satellite to orbit earth.
00:38
So if the satellite, the orbital plane of the satellite cuts through the equator of the earth, that means the satellite will be above a point on the equator throughout the day.
00:54
So at any point of the day, the satellite will be above the same point on the earth.
00:58
So it rotates with the earth and completes one orbit in one day.
01:04
So here we need to find the velocity of this orbit, actually the speed of this orbit.
01:12
So let's go ahead and write speed as s...
