When using standard astronomical units ($P$ in years, $a$ in AU), what quantity does the equation $(M_1 + M_2) = a^3 / P^2$ yield directly?

Answer

The sum of the masses of the two stars

This specific formulation of the law, where the constant of proportionality $G$ conveniently cancels out, yields the total mass of the system, $M_1 + M_2$.

When using standard astronomical units ($P$ in years, $a$ in AU), what quantity does the equation $(M_1 + M_2) = a^3 / P^2$ yield directly?
AstronomerLawstarmassbinary system