Satellite Orbit Period Change if Earth Mass Multiplied by 4

Thread starter layla2525
Start date Sep 25, 2012
Tags

Earth Mass Period

In summary, the Earth's mass has a direct impact on the orbit period of a satellite, with a greater mass resulting in a shorter orbit period. The formula for calculating the change in orbit period when the Earth's mass is multiplied by 4 is given as new orbit period = original orbit period * (original Earth mass / 4)^1/2. This change in orbit period can be accurately predicted, but other factors such as altitude and velocity also play a role. A shorter orbit period will position the satellite closer to Earth compared to a longer orbit period. However, increasing the Earth's mass can have consequences such as more frequent maintenance, potential collisions, and potential impact on data collection and communication with ground stations.

Sep 25, 2012

layla2525

Homework Statement

If you suddenly multiplied the mass of Earth by a factor of 4, how would the period of a satellite change, if the radius of its orbit did not change?

4 times as long

1/4 as long

2 times as long

1/2 as long

Unchanged

Homework Equations

The Attempt at a Solution

I am not sure what equation to use...

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Sep 25, 2012

Simon Bridge

Science Advisor

Homework Helper

Use Newtons Law of Gravity.

FAQ: Satellite Orbit Period Change if Earth Mass Multiplied by 4

How does the Earth's mass affect the orbit period of a satellite?

The Earth's mass has a direct impact on the orbit period of a satellite. The greater the Earth's mass, the stronger the gravitational pull it exerts on the satellite, resulting in a shorter orbit period.

What is the formula for calculating the change in satellite orbit period if Earth's mass is multiplied by 4?

The formula for calculating the change in satellite orbit period when Earth's mass is multiplied by 4 is: new orbit period = original orbit period * (original Earth mass / 4)^1/2

Can the change in satellite orbit period be accurately predicted if Earth's mass is multiplied by 4?

Yes, the change in satellite orbit period can be accurately predicted using the formula mentioned above. However, other factors such as the satellite's altitude and velocity also play a role in determining the exact orbit period.

How does the change in satellite orbit period affect its position relative to Earth?

The change in satellite orbit period will affect the satellite's position relative to Earth. With a shorter orbit period, the satellite will complete more orbits in a given amount of time, resulting in it being positioned closer to Earth compared to when the orbit period was longer.

Are there any potential consequences of increasing Earth's mass on satellite orbit periods?

Yes, increasing the Earth's mass can have significant consequences on satellite orbit periods. A shorter orbit period can result in more frequent satellite maintenance and potential collisions with other satellites or space debris. Additionally, it can also affect the accuracy of satellite data collection and communication with ground stations.