Help with satellites and planets orbital motion

AI Thread Summary
A Martian civilization is developing space travel capabilities by creating a prototype satellite with a mass of 578kg, intended to orbit Mars at a height of 602km. The orbital velocity of the satellite was calculated to be approximately 3549.92 m/s using the formula for gravitational force. To find the period of the satellite, one can use the relationship between tangential velocity and orbital radius. If the satellite's mass were doubled, the orbital velocity would remain unchanged, as it is independent of mass. Increasing the satellite's altitude would require recalculating the orbital velocity based on the new distance from Mars' center.
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A Martian civilization is attempting to develp the capabilities for space travel. They have built a prototype satellite with a mass of 578kg that they plan to put in orbit Mars a distance of 602km above the surface of mars.

A) Using the data provided, calculate the orbital velocity of the satellite.
B)Find the period of the satellite.
C)How would you answer to (a) change if the satellite was twice as massive? Explain how you know.
D) How would you answer to (a) change if the satellite was to be twice as far from the surface of Mars?


Please explain thoroughly. I really don't understand any of this stuff and need help studying.



The attempt at a solution
I could only do part A and I used the square root of Gm/r which equals
the square root of (6.67E-11)*(6.42E23)/3398km which equals 3398000m and my answer was 3549.921453 m/s

Everything else I'm soooo lost and going to cry bc I don't understand
 
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Knowing the tangential velocity you should find the angular velocity and that should give you the period, for C and D just redo the equations with the new data and describe the change

I guess you don't need to use angular velocity, you could use v = 2∏r/T, where T is the period.
 
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