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The binding energy of a satellite of mass m in an orbit of radius r is |
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Answer» y Binding energy is the TOTAL amount of energy required by a SATELLITE to go from its ORBIT to infinity.binding energy = - total energy of satellite in its orbit. = = -T.E = -(K.E + P.E) we know, P.E is given by, P.E = -GMm/r and K.E is given by , K.E = 1/2mv² but we know, centripetal force = gravitational force [ in CIRCULAR orbit at equilibrium]so, mv²/r = GMm/r² so, mv² = GMm/r or, K.E = 1/2mv² = GMm/2r so, T.E = K.E + P.E = GMm/2r - GMm/r = -GMm/2r hence, binding energy of satellite =-(- GMm/2r)= GMm/2r, where M is mass of earth , m is mass of satellite and r is the radius of satellite. |
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