If the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2 Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun. Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun. Does the stated mass of Jupiter make sense? it is to big or to small or makes sense

Astronomy
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Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
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Chapter21: The Birth Of Stars And The Discovery Of Planets Outside The Solar System
Section: Chapter Questions
Problem 24E: Kepler’s third law says that the orbital period (in years) is proportional to the square root of the...
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If the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2

Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun.

Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun.

 

Does the stated mass of Jupiter make sense?

it is to big or to small or makes sense

 

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