How Long Does a Satellite Take to Orbit Earth at 325 km Altitude?

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SUMMARY

A satellite at an altitude of 325 km orbits Earth with a specific orbital period determined by gravitational forces. The relevant equations include the net force equation, expressed as 4π²r/T², and the gravitational force equation, Fg = Gm1m2/r². The radius of Earth is 6.38 x 10^6 meters, and its mass is 5.98 x 10^24 kg. Correctly applying these equations will yield the orbital period.

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  • Understanding of gravitational force and orbital mechanics
  • Familiarity with the equations of motion in physics
  • Knowledge of the universal gravitational constant (G)
  • Basic algebra for solving equations
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  • Calculate the orbital period using the formula T = 2π√(r³/GM)
  • Explore the concept of geostationary orbits and their characteristics
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Homework Statement



A satellite orbits Earth at an altitude of 325 km above the planet's surface. what is the oribital period? (radius of Earth =6.38 x 10 ^ 6 meters, mass of Earth = 5.98 x 10^24 kg)


Homework Equations



Net force = 4 pi^2r/T^2 Fg=Gm1m2/r^2


The Attempt at a Solution




4pi^2r/T^2 = gm1m2/r^2
 
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Klee91 said:

Homework Statement



A satellite orbits Earth at an altitude of 325 km above the planet's surface. what is the oribital period? (radius of Earth =6.38 x 10 ^ 6 meters, mass of Earth = 5.98 x 10^24 kg)

Homework Equations



Net force = 4 pi^2r/T^2
This is not correct. Check the dimensions. This has the dimensions of distance/time^2.

Fix that and you will have the problem solved.

AM
 

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