What Frequency Should a Geostationary Satellite's Receiver Be Tuned To?

[briteliner]

Homework Statement

a synchronous satellite parked in orbit over the equator is used to relay microwave transmissions between stations on the ground. to what frequency must the satellite's reciever be tuned if the frequency of the transmission from earch is exactly 9.376GHz?(ignore doppler effects)

Homework Equations

The Attempt at a Solution

i thought i could have used the gravitational redshift formula: f/f0=1+GM/R but there isn't a mass to work with here

there is also the formula (f-fo)/fo=gh/c^2 but i don't think it relates to this

 

[Jhero]

problem

Hi there,

To answer your question, we need to first understand the concept of synchronous satellites and how they work. A synchronous satellite is a satellite that orbits the Earth at the same rate that the Earth rotates, meaning that it stays in the same position relative to a specific point on Earth's surface. This type of orbit is also known as a geostationary orbit.

In order for the satellite to relay microwave transmissions between ground stations, it needs to be able to receive and transmit at the same frequency. This is because the satellite acts as a "mirror" for the transmissions, reflecting them back down to Earth. So, the frequency of the transmission from Earth (9.376GHz) is also the frequency that the satellite's receiver needs to be tuned to.

In short, the frequency of the satellite's receiver does not need to be adjusted in order to relay the transmissions between ground stations. It simply needs to be able to receive and transmit at the same frequency as the transmission from Earth. I hope this helps clarify things for you! Let me know if you have any other questions.