The mass of Saturn can be determined by applying Kepler's 3rd Law to the motion of a single ice particle in its rings. A) True B) False

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Landen

Physics

17 January, 15:11

The mass of Saturn can be determined by applying Kepler's 3rd Law to the motion of a single ice particle in its rings. A) True B) False

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Answers (1)

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Peppermint · Answer 1

A) True, the mass of Saturn can be determined by applying Kepler's 3rd Law to the motion of a single ice particle in its rings.

Explanation:

Kepler's 3rd law states that the square of the orbital period of an object is directly proportional to the cube of the semi-major axis of its orbit. This is expressed as follows:

T² = 4π² a³ / GM

where

T is the orbital period of the object a is the semi-major axis of the object's orbit M is the mass of the planet G is universal gravitational constant

With a given period and semi-major axis, the mass of Saturn can be determined by applying Kepler's 3rd Law to the motion of a single ice particle in its rings.