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# The mean distance of Mars from the sun is $1.52times$ that of Earth from the Sun. From Kepler’s law of periods, calculate the number of years required for Mars to make one revolution around the Sun.

Last updated date: 22nd Jul 2024
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Hint: In order to answer this question, to calculate the number of years required for Mars to make one revolution around the Sun, we will apply the Kepler’s law of periods equation to find it, and then we will discuss more about the mentioned law.

${(\dfrac{{{a_M}}}{{{a_E}}})^3} = {(\dfrac{{{T_M}}}{{{T_E}}})^2}$
Here, $\dfrac{{{a_M}}}{{{a_E}}}$ is the mean distance ratio for the semi-major axis ratio.
and, ${T_E}$ is the number of years for Earth to make one revolution around the Sun.
and we have to calculate the number of years for Mars ( ${T_M}$ ) to make one revolution around the Sun.
$\Rightarrow {(1.52)^3} = {(\dfrac{{{T_M}}}{{1yr}})^2} \\ \Rightarrow {T_M} = 1.87yr \\$
Hence, the number of years required for Mars to make one revolution around the Sun is $1.87years$.