Given: G=6.67259 x 10^-11 N m^2/kg^2 Mimas, a moon of Saturn, has an orbital radius of 1.88 x 10^8 m and an orbital period of about 23.48 h. Use Newton's version of Kepler's third law and these data to find the mass of Saturn. Answer in units of kg.

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Newton realized that two bodies orbit around a common center of mass, rather than one round the other. He therefore modified Kepler's 3rd Law to:

(m1 + m2) P^2 = (d1 + d2)^3 = R^3

where R is the total distance between the 2 centers of mass, and P is...

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Newton realized that two bodies orbit around a common center of mass, rather than one round the other. He therefore modified Kepler's 3rd Law to:

(m1 + m2) P^2 = (d1 + d2)^3 = R^3

where R is the total distance between the 2 centers of mass, and P is the orbital period, d is the distance between an object and the center of mass, and m is mass of an object.

Having the mass of Mimas along with the other data would be helpful.....

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