Area covered on Earth by geostationary satellites

[ovais]

Homework Statement

Hello all,

I have studying about radio communication, I came across a question which asked the fraction of area of earth covered by geostationary satellites. The answer given is 1/3. And when I go to see the solution it says a minimum of three geostationary satellites equiadistance 120° apart are required to cover the earth. I search more about it on the internet at some places they say that in that minimum 2 are needed to cover whole earth but to have interconnect them 3 are needed.

Relevant Equations

I used a little of trigonometry but it didn't match with the answer

My question is, given that the height of geostationary satellite to be 35786 Km and radius of about 6378km determine the area covered by a geostationary satellite Or deteremine minimum number of geostationary satellites requires to cover whole earth. Regards thanks a bunch :)

 

[jbriggs444]

Can you show us the trigonometry that you've tried? We can't help with where you are going wrong if we cannot see your attempts.

[The forum rules actually forbid giving help until that effort is shown]

Also, "some places on the internet" is not a specific enough reference for us to know whether the information you are getting is correct, is incorrect or is being misinterpreted.

 

[ovais]

Can you show us the trigonometry that you've tried? We can't help with where you are going wrong if we cannot see your attempts.

I am sorry I just did a little mistake in converting angles from trigonometry ratio, now I got the correct angle. 162° so to cover whole Earth 2 satellites are not enough and therefore minimum of 3 must requires.

[The forum rules actually forbid giving help until that effort is shown]

Also, "some places on the internet" is not a specific enough reference for us to know whether the information you are getting is correct, is incorrect or is being misinterpreted.

[The forum rules actually forbid giving help until that effort is shown]

Also, "some places on the internet" is not a specific enough reference for us to know whether the information you are getting is correct, is incorrect or is being misinterpreted.

There were few questions-answere sites I went through yesterday that talked about that as an example the following one.

https://www.google.com/amp/s/answers.yahoo.com/amp/qna/20090124133751AAZ3Vva
Thanks for your all support to help me look at my own mistake. Thanks a lot.

Regards!