Answer:
1.02
Explanation:
By the third Kepler's Law for an elliptic orbital, such as the Earth and the Sun:
T² = R³/k
Where T is the period of the rotation (in years), R is the distance between the planet to the star (in au), and k is the constant which depends on the mass of the star. For Earth and Sun, T = 1 year, and R = 1 au, so k = 1.
For HD 10180g, T = 600/365 = 1.64 years, R = 1.4
(1.64)² = (1.4)³/k
k = 2.744/2.6896
k = 1.02
Because k only depends on the mass, we can conclude that the ratio of the star's mass to our sun's mass is the ratio of the k values, so it will be:
1.02/1
1.02
Answer:
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