What Formula Can Help You Understand Satellites in Orbit?

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The discussion focuses on calculating the velocity needed for a communication satellite to transition from a lower orbit to a geosynchronous orbit. The key formula used is v = √(GM/(Re+h)), which incorporates gravitational constant (G), Earth's radius (Re), and altitude (h). The calculated velocity for the satellite at 300 km above Earth is 7730 m/s. Participants confirm the accuracy of the calculations and the application of energy conservation principles in orbital mechanics. The conversation emphasizes the importance of adjusting kinetic energy to achieve the desired orbital transition.
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i solved it. thanks to all who responded
 
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shouldnt the answer be the same as the one in part a?
 
Apply the energy conservation.
 
No, its speed needs to be increased at point 1 so that it matches the speed if it were in the elliptical orbit. This will then transfer it into the new elliptical orbit, or stated differently its energy need to be increased (kinetic) so that it matches the energy of the elliptical orbit at that point (the potential energy is the same at that point for both orbits).
 
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nick727kcin said:
a.)Consider a 1000 kg communication satellite that needs to be boosted from an orbit 300 km above the Earth to a geosynchronous orbit 35,900 km above the earth. Find the velocity v_1 on the lower circular orbit.

this came out to be: 7730m/s
Can you show how you got that answer?
 
thanks for responding guys, and i got that answer by using this formula:

v= (sq. root) GM/(Re+h)

part a is definitely right, though
 
nick727kcin said:
thanks for responding guys, and i got that answer by using this formula:

v= (sq. root) GM/(Re+h)

part a is definitely right, though

That looks good to me.
 
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