The amount of time it takes an asteroid, whose average distance from the Sun is 4.70 astronomical units, to complete one orbit around the Sun is ____ years
For Earth the average distance(R) from sun is 1 AU and the period(T) is 1 year
From Kepler's third law
T2
R3
T
R3/2
Hence T2 / R3 (for asteroid)= constant = T2 / R3 (for earth) = 1
So T = R3/2
T = 4.73/2 = 10.19 years
The amount of time it takes an asteroid, whose average distance from the Sun is 4.70...
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