Answer :
Answer:
Number of years for the asteroid to make one revolution about the sun is 2.83 years
Explanation:
The square of the period , T of any planet in a circular orbit with radius, r is given by:
T^2= (4pi^2/Gm) × r^3 ...eq1
For earth,T^2earth= (4pi^2/Gm) × r^3 ...
eq2
Where m is mass of the sun
Divide eq1 by eq2 , you get:
T^2/T^2earth = (r/rearth)^3
Substituting r=2reath , we get:
T^2/T^2earth =( 2rearth/rearth)^3
T/Tearth = Sqrt(8)
T/Tearth= 2.83
The period the earth revolves around the sun is 1 year
T/1 = 2.83
T= (1 × 2.83)years
T = 2.83 years