Question

Vesta is a minor planet (asteroid) that takes 3.63 years to orbit the Sun.

Answer 1

Using Kepler's third law, the average sun -Vesta distance is 2.36 AU.

According to Kepler's laws, the square of the period of revolution of planets are proportional to the cube of their average distances from the sun. Hence, we can write; $T^{2} =r^{3}$

Where;

T = period of the planet

r = average distance of the planet

When;

T =  3.63 years

r = $\sqrt[3]{T^2}$

r = $\sqrt[3]{(3.63)^2}$

r = 2.36 AU

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