The mass of the star the planet is orbiting in the nearest whole number is 2×10^-12 kg
Using the formula:
The formula = 4²³/²
Where M is the mass of the star
T is the orbital period = 0. 76 earth years
r is the orbital radius= 1. 2au
G is the universal gravitational constant = 6.67 × 10-11 Newtons kg-2 m2
π = 3. 14
Substitute values into the formula
Mass, M = [tex]\frac{4 * 3.14^2 * 1.2^3}{6.67* 10^-11 * 0. 76^2}[/tex]
Mass = [tex]\frac{68. 149}{3. 852 * 10^-11}[/tex]
Mass = [tex]1. 769 *10^-12[/tex] kg
Mass = [tex]2* 10^-12[/tex] kg
Thus, the mass of the star the planet is orbiting in the nearest whole number is 2×10^-12 kg
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