The time taken for Planet Mercury to orbit around the sun is determined as 1.21 x 10⁶ s.
Period of the planet mercury
The time of motion of the planet around the sun is calculated as follows;
[tex]T = 2\pi \sqrt{\frac{a^3}{Gm} } \\\\[/tex]
where;
- a is the mean radius of the planet Mercury
- G is universal gravitation constant
- M is mass of the sun
[tex]T = 2\pi \sqrt{\frac{(5.8 \times 10^{10})^3}{(6.67 \times 10^{-11})(1.99\times 10^{30})} } \\\\T = 1.21 \times 10^6 \ s[/tex]
Learn more about orbital period here: https://brainly.com/question/22247460
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