Answer:
Distance of Saturn from sun is 9.5473 astronomical units
Step-by-step explanation:
We have given,
A formula relating the planet's orbital period and planet's distance from the sun. i.e p = [tex]a^{\frac{3}{2} }[/tex]
since we have, orbital period of Saturn = 29.5 years
And we need to find the distance of Saturn from the sun.
so we can use the given formula: p = [tex]a^{\frac{3}{2} }[/tex]
Here, Orbital period , p = 29.5 , Let a be the distance between Saturn and sun.
29.5 = [tex]a^{\frac{3}{2} }[/tex]
Squaring both sides, we get :
29.5² = [tex]a^{3}[/tex]
Taking cube root both sides, we get:
[tex]29.5^{\frac{2}{3} } =a[/tex]
a = 9.5473 astronomical units
Distance of Saturn from sun is 9.5473 astronomical units
