A spacecraft of mass m describes a circular orbit or radius r₁ around the earth. (a) Find the additional energy ΔE which must be imparted to the spacecraft to transfer it to a circular orbit of larger radius r₂. (b) If the transfer from one circular orbit to the other is executed by placing the spacecraft on a transitional semi elliptical path AB then find the amounts of energy ΔEA and ΔEB which must be imparted at A and B respectively.

Physics · Gravitation · Satellites, Orbital Motion & Kepler’s Laws

JEE MainsAdvanced

A spacecraft of mass m describes a circular orbit or radius r₁ around the earth. (a) Find the additional energy ΔE which must be imparted to the spacecraft to transfer it to a circular orbit of larger radius r₂. (b) If the transfer from one circular orbit to the other is executed by placing the spacecraft on a transitional semi elliptical path AB then find the amounts of energy ΔEA and ΔEB which must be imparted at A and B respectively.

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