question 17\n1 pts\nfind the orbital period (in years) of an asteroid whose average distance from the sun is…

question 17\n1 pts\nfind the orbital period (in years) of an asteroid whose average distance from the sun is 5 au. use keplers 3rd law and only enter the number, not the units 2 pt question

question 17\n1 pts\nfind the orbital period (in years) of an asteroid whose average distance from the sun is 5 au. use keplers 3rd law and only enter the number, not the units 2 pt question

Answer

Explanation:

Step1: Recall Kepler's 3rd law

$T^{2}=a^{3}$, where $T$ is the orbital period in years and $a$ is the average distance from the sun in astronomical - units (AU).

Step2: Substitute the given value of $a$

Given $a = 5$ AU. Substitute $a$ into the formula: $T^{2}=5^{3}=125$.

Step3: Solve for $T$

$T=\sqrt{125}\approx11.18$.

Answer:

$11.18$