The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be
Text Solution
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Orbit speed of the satellite around the earth is
u = 
where,
G = Universal gravitational constant
M = Mass of earth
r = Radius of the orbit of the satellite
For satellite A
r A = 4R, u A = 3V, u A = 
.........(i)
For satellite B
r B = R, u B =? u B = 
.........(ii)
Dividing equation (ii) by equation (i), we get
∴ 
, u B = u A 
Substituting the given values, we get
u B = 3V 
u B = 6 V
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