If there is a satellite in geosynchronous orbit

In summary, geosynchronous orbit is an orbit where a satellite's orbital period matches the rotation period of the Earth, allowing it to appear stationary above a specific point on the Earth's surface. This orbit is typically located 22,236 miles above the Earth's surface and has benefits such as providing continuous coverage and stability for communication and monitoring purposes. Satellites in geosynchronous orbit take approximately 24 hours to complete one orbit and can fall out of orbit due to various factors, but are equipped with propulsion systems to maintain their position.
  • #1
ninetyfour
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Homework Statement



Does the centripetal force equal the gravitational force?

Homework Equations



Fg = G(m1)(m2) / r^2
Fc = 4(pi^2)(m)(r) / T^2

The Attempt at a Solution



I have the mass of a satellite in geosynchronous Earth orbit. The period of Earth's orbit, and the Earth's radius and mass.
I need to find the distance of the satellite above earth.

Is it right to set Fc = Fg?
 
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  • #2
As long as the satellite is traveling in a circular orbit around the Earth, the gravitational force provides the centripetal force. The geosynchronous orbit gives you the period time of the satellite.
 

Related to If there is a satellite in geosynchronous orbit

1. What is geosynchronous orbit and how does it work?

Geosynchronous orbit is an orbit around the Earth where a satellite's orbital period matches the rotation period of the Earth. This means that the satellite appears to remain stationary above a specific point on the Earth's surface. The satellite stays in this orbit due to the balance between its centrifugal force and the Earth's gravitational force.

2. How high above the Earth's surface is a geosynchronous orbit?

A geosynchronous orbit is typically located at an altitude of approximately 22,236 miles (35,786 kilometers) above the Earth's surface.

3. What are the benefits of having a satellite in geosynchronous orbit?

Satellites in geosynchronous orbit have a fixed position in the sky, making them ideal for telecommunications, weather monitoring, and other communication purposes. This also allows for continuous coverage of a specific region on Earth.

4. How long does it take for a satellite to complete one orbit in geosynchronous orbit?

A satellite in geosynchronous orbit takes approximately 24 hours to complete one orbit, which is the same amount of time it takes for the Earth to rotate once on its axis.

5. Can satellites in geosynchronous orbit ever fall out of orbit?

Yes, satellites in geosynchronous orbit can fall out of orbit due to various factors such as atmospheric drag, solar radiation pressure, and gravitational perturbations from other celestial bodies. However, these satellites are equipped with propulsion systems to make small adjustments to their orbits to maintain their geosynchronous position.

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