A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an orbital period of 1.556 days. Use these data to estimate the mass of the planet. Express the mass of the planet, M, in terms of the orbital period T, the length a of the orbit's semimajor axis, and the universal gravitation constant G. M = (Use integers or fractions for any numbers in the expression.)

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5x 10° m and has an orbital period of 1.556 days. Use these data to estimate the mass of the planet.
Express the mass of the planet, M, in terms of the orbital period T, the length a of the orbit's semimajor axis, and the universal gravitation constant G.
M =
(Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5x 10° m and has an orbital period of 1.556 days. Use these data to estimate the mass of the planet. Express the mass of the planet, M, in terms of the orbital period T, the length a of the orbit's semimajor axis, and the universal gravitation constant G. M = (Use integers or fractions for any numbers in the expression.)
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