In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits similar to that of Earth, which orbits the Sun (with a mass MSun=1.99×10³⁰ kg) at a distance of 1.50 × 10¹¹ m, known as 1 astronomical unit (1 AU). Others have extreme orbits that differ significantly from anything in our solar system. The following problem relates to one of these planets that follows a circular orbit around its star.
A planet in another star system, HD 10180-g, orbits with a period of 600 days at a distance of 1.4 AU from its star (HD 10180). What is the mass of this planet's parent star?