Earth orbit -- geosynchronous orbit calculation

  • Thread starter nysnacc
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  • #1
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Homework Statement


upload_2016-9-21_22-36-1.png


Homework Equations



ε= r_max - r_min / r_max + r_min
= r*v2 / gRE

The Attempt at a Solution


I first find that 1 revolution is 2π rad , the angular velocity ω = 2π rad / 24h = π/43200 rad /s
so v = rω where r is the unknown
ε = 0 (circular orbit)

r*(rω)2 / g RE = 0


Correct route?
 

Answers and Replies

  • #2
kuruman
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Your approach is incorrect. You need to use Newton's 2nd law to find a relation between speed and radius in a circular orbit.
 
  • #3
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st
Your approach is incorrect. You need to use Newton's 2nd law to find a relation between speed and radius in a circular orbit.
start with F= ma, then integrate?
 
  • #4
kuruman
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No need for integration. Remember that the acceleration here is centripetal. What is an expression for F?
 
  • #5
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F=ma then a is gravity?
 
  • #6
kuruman
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No, a is the centripetal acceleration. What is an expression for it? F is the force of gravitational attraction between two masses according to Newton's law of gravitational attraction.
 
  • #8
kuruman
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That's F. What about a on the other side of the equation?
 
  • #9
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m (r'' + rω) cuz it is the angular movement ?
 
  • #10
kuruman
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Centripetal acceleration is ω2r, not ωr. Also, what is r'' for a satellite in a circular orbit?
 

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