Q1=Two satellites A and B are travelling in the same plane and same sense in circular orbit around the earth at an altitude of rA and rB from the centre of the earth respectively .If at time t=0 the satellite are alligned such that there centre points are collinear Determine the time interval after which they will attain the same configuration.Ans=
2π(rArB)3/2 / √gR(rB 3/2 -rA 3/2 )
Wa = √GM/ra^3
Wb = √GM/rb^3
Now,
Theta(b) = Wb*t
Theta(a) = Wa*t
Theta(b) = √GM/ra^3 *t
Theta(a) = √GM/ra^3 *t
t[ 1 - √GM/rb^3 + √GM/ra^3 ] = 2π
t = 2π(ra^3 * rb^3)/√gR(rb^3/2 - ra^3/2)
