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Calculate the number of days in one year when the average distance between the sun and earth becomes half to its initial value

Calculate the number of days in one year when the average distance between the sun and earth becomes half to its initial value

Grade:11

1 Answers

Khimraj
3007 Points
6 years ago
According to Kepler’s law of time Periods, the square of time period of a planet is directly proportional to cube of the semimajor axis of the orbit.Let T1 and a1 are initial time period and distance between sun and earth.So(T12/a13) = (T22/a23)(T1/T2)2 = (a1/a2)3(T1/T2)2 = (2)3(T1/T2)2 = 8T2 = T1/(81/2)T2 = 365/(81/2) = 129 Days.Hope it clears if still you have doubt you can ask me.If you like answer then please approve it.

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