Question

use the equation \\(t^2 = a^3\\) to compute an unknown orbital period or distance

you used a telescope and other mathematics to discover that jupiter is 5.20 au from the sun. use the equation to find its orbital period. round to the nearest tenth of a year.

jupiters orbit: 11.9 years

suppose that your data shows that saturn orbits every 29.5 years. to the nearest hundredth of an au, how far is saturn from the sun?

saturns distance from the sun: au

Explanation:

Identify the given values and formula

Using the Keplers Third Law knowledge point

$$
LATEXBLOCK0
$$

Solve for the orbital distance

Using the Keplers Third Law knowledge point

$$
LATEXBLOCK1
$$

Round to the nearest hundredth

Using the Keplers Third Law knowledge point

$$ A \approx 9.55\text{ au} $$

Answer:

Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the Sun?

Saturn's Distance from the Sun: <blank>9.55</blank> au