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Suppose that a satellite is at a height of 1.21E+6 meter and use 6.38E+6 meter as the radius of the earth. The period of the orbit of the satellite is 6.58E+3 second and it has a mass of 110 kilogram. The angular momentum of the satellite is 6.05 × 1012 kg·m2/s and the quantum number is 5.74 × 1046. Find by what fraction would the radius of the satellite orbit have to be increased to increase the quantum number by 1?

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