Answer:
The mass of the planet is [tex]2.7\times10^{27}\ kg[/tex].
Explanation:
Given that,
Semi major axis [tex]a= 4.3\times10^{8}[/tex]
Orbital period T=1.516 days
Using Kepler's third law
[tex]T^2=\dfrac{4\pi^2}{GM}a^3[/tex]
[tex]M=\dfrac{4\pi^2}{GT^2}a^3[/tex]
Where, T = days
G = gravitational constant
a = semi major axis
Put the value into the formula
[tex]M=\dfrac{4\times(3.14)^2}{6.67\times10^{-11}(1.516\times24\times60\times60)^2}(4.3\times10^{8})^3[/tex]
[tex]M=2.7\times10^{27}\ kg[/tex]
Hence, The mass of the planet is [tex]2.7\times10^{27}\ kg[/tex].
