Question

neptune has an average distance to the sun of 30.06 au in two or more complete sentences explain how to calculate the orbital period of neptune ​

Answer 1

As per Kepler's law we know that

\frac{T_1^2}{T_2^2} = \frac{R_1^3}{R_2^3}T22T12=R23R13

as we know that for earth the time period is 1 year and its distance is 1 AU

now from above formula we can say

let the time period of Neptune is T and its distance is given as R = 30.06 AU

now we will have

\frac{1^2}{T^2} = \frac{1^3}{30.06^3}T212=30.06313

by rearranging the above equation we have

T^2 = (30.06)^

3T2=(30.06)3

T = 164.8 years

T=164.8years

so it will have time period of 164.8 years