Kepler's law gives a relation between the period, $p$ , of a planet's revolution, in years, and its average distance, $a$ , from the sun: where $K = 1.243 \times 1 0^{? 24}, a$ is measured in miles, and $p$ is in years. a. Solve Kepler's law for $D$ as a function of $a$ . Use $K$ rather than the given approximation. $p =$ b. Find the period of Jupiter if its average distance from the sun is $4.836 \times 1 0^{8}$ miles. years

Question

Kepler's law gives a relation between the period,

p

, of a planet's revolution, in years, and its average distance,

a

, from the sun: where

K = 1.243 \times 1 0^{? 24}, a

is measured in miles, and

p

is in years. a. Solve Kepler's law for

D

as a function of

a

. Use

K

rather than the given approximation.

p =

b. Find the period of Jupiter if its average distance from the sun is

4.836 \times 1 0^{8}

miles. years

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