91影视

The law elucidates that a planet鈥檚 鈥渙rbital period鈥檚 square鈥� is directly proportional to the orbit鈥檚 鈥渟emi-major axes鈥� cube of a particular planet or comet.

The product of the square of the time period and the Kepler's constant gives the semi-major axis of the comet.

From Kepler鈥檚 third law, the semi-major axis of the comet鈥檚 orbit can be expressed as-

$a^3=\frac{T^{2}G{M}_s}{4{蟺}^2}$

Here, a is the semi-major axis, T is the time period , and G is the gravitational constant $6.67脳{10}^{鈭�11}{\text{鈥塏尘}}^{\text{2}}{\text{/kg}}^{\text{2}}$. The mass of the sun is $1.99脳{10}^{30}\text{鈥塳驳}$.

Substituting the value in the above equation, we get-

Hence, the semi-major axis of the comet's orbit is $1.66脳{10}^{41}\text{鈥尘}$.

The average Sun-Pluto distance $5.909脳{10}^{12}\text{鈥尘}$is less than the semi-major axis.

The distance of Alpha Centauri is 4.3 light-years which is$4.13脳{10}^{16}\text{鈥尘}$ that is less than the semi-major axis of the comet.