The artificial satellite Vanguard 1 was found to have a period of revolution of 134 minutes. It approached the Earth to distance of 660 km and receded to a distance of 4023 km. Calculate the mass of the Earth with respect to the Sun’s mass if the semi-major axis of the Earth’s orbit is 149·5 × 106 km, the radius of the Earth is 6372 km and the year contains 365·25 mean solar days.
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