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The table shows the mean (average) distances d of the planets from the Sun (taking the

Chapter 1, Problem 22

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QUESTION:

The table shows the mean (average) distances d of the planets from the Sun (taking the unit of measurement to be the distance from Earth to the Sun) and their periods T (time ofrevolution in years). a) Fit a power model to the data.(b) Keplers Third Law of Planetary Motion states that Thesquare of the period of revolution of a planet is proportionalto the cube of its mean distance from the Sun. Does yourmodel corroborate Keplers Third Law?

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QUESTION:

The table shows the mean (average) distances d of the planets from the Sun (taking the unit of measurement to be the distance from Earth to the Sun) and their periods T (time ofrevolution in years). a) Fit a power model to the data.(b) Keplers Third Law of Planetary Motion states that Thesquare of the period of revolution of a planet is proportionalto the cube of its mean distance from the Sun. Does yourmodel corroborate Keplers Third Law?

ANSWER:

Problem 22

The table shows the mean (average) distances d of the planets from the Sun (taking the unit of measurement to be the distance from Earth to the Sun) and their periods T (time of revolution in years).

(a) Fit a power model to the data.

(b) Kepler's Third Law of Planetary Motion states that "The square of the period of revolution of a planet is proportional to the cube of its mean distance from the Sun. Does your model corroborate Kepler's Third Law?

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