How Do Radius and Orbit Affect Satellite Dynamics?

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SUMMARY

The discussion focuses on the relationship between the radius of a satellite's orbit and its dynamics, specifically the orbital period, kinetic energy, and speed. It is established that a larger orbital radius results in a longer orbital period due to the increased distance the satellite must travel. The kinetic energy of the satellite is inversely related to the radius, while the speed of the satellite decreases as the radius increases. To analyze these relationships algebraically, participants are encouraged to equate centripetal acceleration with gravitational force using Newton's second law, F=ma.

PREREQUISITES
  • Understanding of circular motion and gravitational forces
  • Familiarity with Newton's laws of motion
  • Basic algebra skills for manipulating equations
  • Knowledge of satellite dynamics and orbital mechanics
NEXT STEPS
  • Study the derivation of the orbital period formula for circular orbits
  • Learn how to calculate kinetic energy in the context of satellite motion
  • Explore the concept of centripetal acceleration and its application in orbital mechanics
  • Investigate the effects of varying orbital radius on satellite speed and energy
USEFUL FOR

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

Plutonium88
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For a satellite in circular orbit above earth, state how the following properties depend on radius?
a) period
b) kinetic energy
c) speed

This is the question i need help with folks... I've answered it using words so far (correct me if I'm wrong) but I'm wondering how i could go about this using algebra?


My answers:

a) it affects the period because the larger the radius of a planet, the longer it will take for another object to complete a full cycle. and vice versa.

b) .. not sure yet lol

c) ""


please help me out :(
 
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Way wrong so far. The radius they are talking about is radius of the orbit, not the radius of the planet. Leave that fixed. If you want to use algebra try equating the centripetal acceleration of the satellite to the gravitational force on the satellite. I.e. Newton law F=ma.
 

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