Gravitation - Satellite with same w as earth

In summary, the conversation involves a discussion about the rotation and time period of the Earth, as well as the calculation of the height of a geostationary satellite above Earth's surface. It is mentioned that the sidereal day is not exactly 24 hours, and there is confusion about the calculated distance. The error is attributed to a previous question being misunderstood.
  • #1
cupid.callin
1,132
1

Homework Statement


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The Attempt at a Solution



as w is same as w of Earth ... so T is 24 hrs

so its like a geostationary satellite
if i use w to find distance ... it comes like 42300 KM
if we used t=24 hrs to find distance ... it comes 36000 KM

what the hell is this? ... 1 question 2 answers?

and answer to (b) is 6hrs
so Time period is 24hrs is confirmed
 

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  • #2
Show your calculations both ways. At least one of them has an error. :smile:

It might be of interest to know that the rotational period of the Earth on its axis is not quite 24 hours. The sidereal day is 23h 56m 4.091s, or 23.9344696 hours.
 
  • #3
gneill said:
Show your calculations both ways. At least one of them has an error. :smile:

It might be of interest to know that the rotational period of the Earth on its axis is not quite 24 hours. The sidereal day is 23h 56m 4.091s, or 23.9344696 hours.

Oh I'm really sorry.
i did a question to find height of geostationary satellite above Earth surface and memorized it incorrectly as orbital radius

36000KM + 6400KM ≈ 42300KM
 

FAQ: Gravitation - Satellite with same w as earth

What is gravitation?

Gravitation is a fundamental force of nature that describes the attraction between two objects with mass.

What is a satellite with the same w as Earth?

A satellite with the same w as Earth refers to a satellite that orbits the Earth at the same rate as the Earth's rotation. This means that the satellite remains in a fixed position relative to a specific point on Earth's surface.

How does gravitation affect satellites with the same w as Earth?

Gravitation is the force that keeps satellites in orbit around the Earth. Satellites with the same w as Earth are able to maintain a stable orbit because they are constantly being pulled towards the Earth's center of mass by the force of gravity.

What are some applications of satellites with the same w as Earth?

Satellites with the same w as Earth are commonly used for communication and navigation purposes. They can also be used for remote sensing, weather forecasting, and scientific research.

Can the w of a satellite be changed?

Yes, the w of a satellite can be changed by using thrusters to alter its speed and direction. This is often done to adjust the satellite's orbit or to maintain its position relative to a specific point on Earth's surface.

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