What would have been the duration of the year if the distance between the earth and the sun would have been four times the
present value?
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Answer:
According to Kepler’s law
T² ∝ r³
(T₁ / T₂)² = (r₁ / r₂)³
(365 / T₂)² = (2r₁ / r₁)³
(365 / T₂)² = 8
365 / T₂) = 2√2
T₂ = 365 / (2√2)
T₂ = 129 days
There will be 129 days in an year.
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