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The mean distance of mass from the sun i...

The mean distance of mass from the sun is 1.524 times that of earth from the sun. Find the number of years required for mass to make one revolution about the sun.

Text Solution

Verified by Experts

Given that `R_m`=1.524 `R_e` and `T_e` = 1 year
According to Kepler.s third law , we can write `T^2 prop R^3`
`rArr (T_S/T_e)^2=(R_S/R_e)^3 rArr T_S=Te(R_S/R_e)^(3//2)`
`rArr T_S=(1)((1.524R_e)/R_e)^(3//2) rArr T_S=(1)(1.524)^(3//2)` = 1.88 years
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