Question

In the following problem you will calculate various properties of a star in order to ultimately determine the radius of an exoplanet which transits that star. The nearby star has a parallax angle of 0.6 arcseconds.

B. Our sun is measured to be 2.3 × 10¹⁰ brighter than this star. Determine the luminosity (L) of the star relative to the sun's luminosity (LSun) (i.e., determine L/LSun) (1 AU = 4.848 × 10^-6 parsecs and (L/LSun)= (B/BSun) * (D/DSun), where B is the measured brightness and D is the distance)

C. Assume the star is a main-sequence star, which obeys the Mass-Luminosity Law: (L/LSun) = (M/Msun) . What is the mass of the star?

D. Given the luminosity, and assuming that the star’s temperature is equal to the surface temperature of the Sun, what is the radius of the parent star? Remember (L/LSun) = (R/RSun) ² (T/TSun) ⁴

Answer 1