The minimum and maximum distances of a satellite from the centre of the earth are 2 R and 4 R respectively, where R is the radius of earth and M is the mass of the earth. Radius of curvature at the po

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The minimum and maximum distances of a satellite from the centre of the earth are 2 R and 4 R respectively, where R is the radius of earth and M is the mass of the earth. Radius of curvature at the point of maximum distance is α R , value of α is.

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​ m s ​ v 1 ​ ⋅ 2 R = m s ​ v 2 ​ ⋅ 4 R v 1 ​ = 2 v 2 ​ ​ from conservation of energy ​ 2 1 ​ m s ​ v 1 2 ​ − 2 R GM ε ​ ⋅ m s ​ ​ = 2 1 ​ m s ​ v 2 2 ​ − 2 R GM ε ​ ⋅ m s ​ ​ ​ on solving (i) and (ii) v 1 ​ = 3 R 2 GM ​ ​ and v 2 ​ = 2 1 ​ 3 R 2 GM ​ ​ Radius of curvature at B. ( 4 R ) 2 GM e ​ m s ​ ​ = ( R c ​ ) m s ​ ⋅ v 2 2 ​ ​ ⇒ R c ​ = 3 8 R ​

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