How Is Work Done by Gravitational Force Calculated in Satellite Orbits?

In summary, the conversation is about a homework problem involving a satellite's elliptical orbit and finding the work done by gravitational force as it moves between the apogee and perigee points. The person asking for help is not familiar with the concept of work and is unsure of how to begin solving the problem.
  • #1
emmah01
1
0
1. Homework Statement

A 7655 kg satellite has an elliptical orbit. The point on the orbit that is farthest from the Earth is called the apogee and is at the far right side of the drawing. The point on the orbit that is closest to the Earth is called the perigee and is at the far left side of the drawing. Suppose that the speed of the satellite is 2880 m/s at the apogee and 8396 m/s at the perigee. Find the work done by the gravitational force when the satellite moves from a) the apogee to the perigee and b) the perigee to the apogee?

2. Homework Equations

No idea...

The Attempt at a Solution



Honestly I don't even have a clue how to start this...anyone who can help, thank you!

Homework Statement


2. Homework Equations
3. The Attempt at a Solution
 
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  • #2
What is 'work'? Have you heard of the 'word-energy theorem'?
 
  • #3
emmah01 said:
Honestly I don't even have a clue how to start this...

That being the case I have to ask, why are you even trying it? If it is part of a class you should have SOME idea how to start it.
 

Related to How Is Work Done by Gravitational Force Calculated in Satellite Orbits?

1. What is an elliptical orbit?

An elliptical orbit is a type of orbital path in which an object, such as a satellite, follows an oval-shaped trajectory around a larger body, such as a planet or star. It is characterized by varying distances between the object and the body it is orbiting.

2. How is an elliptical orbit different from a circular orbit?

An elliptical orbit differs from a circular orbit in that it is not a perfect circle, but rather an oval shape. This means that the object in orbit will experience varying levels of gravitational pull and may have different speeds at different points in its orbit.

3. What factors determine the shape of an elliptical orbit?

The shape of an elliptical orbit is determined by the velocity and direction of the object in orbit, as well as the gravitational pull of the body it is orbiting. Other factors, such as the presence of other objects in the surrounding space, can also influence the shape of the orbit.

4. How does the satellite's speed change in an elliptical orbit?

In an elliptical orbit, the satellite's speed will vary as it moves closer to or farther away from the body it is orbiting. When it is closer, it will experience a stronger gravitational pull and will speed up, and when it is farther away, it will slow down due to weaker gravitational pull.

5. What are the practical applications of elliptical orbits for satellites?

Elliptical orbits are commonly used for satellites that need to cover a large area or make observations at different distances from Earth. They can also be used to conserve fuel and extend the lifespan of the satellite, as the varying speeds in the orbit can help maintain its position and trajectory without constantly using thrusters.

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