RE: [amsat-bb] Orbital velocity question

["John Henderson" <jah@xxxxxxxxx>]

Jamie,
 
I finally derived the equation in the Journal and it is correct.
 
Hope I can type this clearly....
 
The balancing force on a satellite at distance r is:
                    
                        (GMm)/r**2 = mw**2r
G = gravity at surface, M = Earth mass  m=sat mass  r=distance from
center of Earth  w= angular velocity of sat
 
 
The Orbital Velocity  found from using the above and orb velocity :
 
v =  rw and g = GM/R**2 where g is gravity at sat and R is earth radius.
 
Solving the forced equation for wr we get SqRT(GM/r) =wr
 
Therefore v = SqRT (GM/R); solve g=GM/R**2  for GM we get g(R**2)
 
Substitute in v= SqRT (GM/r) GM=g(R**2) and you get:
 
            V = SqRT (( gR**2)/r)
 
 
73,  John 
N4NAB/ FM14lq
AMSAT # 32411
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