The time required for Mars to orbit the Sun in Earth days is 1.87y.
The square of the time period of orbiting is directly proportional to the cube of the mean distance.
The ratio of mean distance, (am /ae)³ = (Tm/Te)²
Substitute the ratio of semimajor axis and time period of earth orbit Te =1 yr, we get
(1.52)³ = (Tm / 1 yr)
Tm=1.87y.
Thus, the time required for Mars to orbit the Sun in Earth days is 1.87y.
Learn more about Kepler's law of periods.
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