A planet orbiting a distant star has been observed to have an orbital period of 0.76 earth years at a distance of 1.2 au. what is the mass of the star the planet is orbiting? round your answer to the nearest whole number. solar masses

Respuesta :

The mass of the star the planet is orbiting in the nearest whole number is 2×10^-12 kg

How to determine the mass of the star

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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