Question

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29. 5 years, what is its distance from the sun?.

Answer 1

The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units

What is orbital period?

Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula

$P =a^{3/2}$

The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,

$29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm$

Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.

Learn more about the orbital period here;

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