Direction of a satellite in a circular orbit

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SUMMARY

The discussion focuses on calculating the altitude of a satellite in a circular orbit around Earth, specifically where the gravitational field strength is 4.5 N/kg. The user successfully applied the formula Fg = √(Gm/r²) to determine the orbital distance and used v = √(Gm/r) to find the satellite's velocity, leading to the calculation of circular acceleration (Ac = V²/r). The user seeks clarification on the direction of the acceleration vector, which is definitively towards the center of the Earth, confirming the nature of centripetal acceleration in circular motion.

PREREQUISITES
  • Understanding of gravitational force equations, specifically Fg = Gm/r²
  • Knowledge of circular motion principles, including centripetal acceleration
  • Familiarity with the concept of gravitational field strength
  • Basic proficiency in algebra and square root calculations
NEXT STEPS
  • Study the derivation of gravitational force equations in orbital mechanics
  • Learn about centripetal acceleration and its applications in satellite motion
  • Explore the concept of gravitational field strength and its implications for satellite orbits
  • Investigate the mathematical proof of acceleration direction in circular motion
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in orbital mechanics and satellite dynamics will benefit from this discussion.

ND3G
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A satellite is designed to orbit Earth at an altitude above its surface that will place it in a gravitational field with a strength of 4.5 N/kg

a) Calculate the distance above the surface of Earth at which the satellite must orbit

b) Assuming the orbit is circular calculate the acceleration of the satellite and its direction

I have solved part a) using the equation: Fg = sqr of Gm/r^2

I also solved the accelaration of the satellite by first finding the velocity (v = sqr of Gm/r) and then the circular acceleration (Ac = V^2/r).

I am a bit confused as to what they are asking for with regards to direction. I could work out the curve I suppose though I do not recall what forumula I would use. Can someone point me in the right direction please?

Thanks
 
Physics news on Phys.org
The question is asking for the direction of the acceleration vector...
 
Do you think that it is enought to state that the acceleration is towards the centre of the Earth so do I need to prove it mathematically?
 

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