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Numerical problems: The Earth’s distance from the Sun is 149.6 × 106km and the period of Earth’s revolution is 1 year. Calculate the ratio of the squares of the periods to cubes of the major axis. -

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Question

Numerical problems:

The Earth’s distance from the Sun is 149.6 × 106km and the period of Earth’s revolution is 1 year. Calculate the ratio of the squares of the periods to cubes of the major axis.

Short Note

Solution

Semi major axis from sun, R = 149.6 × 106 km.
Period of Earth, T = 1 year.
The ratio = `"T2"/"R3"`=`(1)^2/(149.6×10^6)^3` = 2.98 ×10-25 year2 / km 3.

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