In: Physics
1. a) The star μ Cephei has an apparent magnitude of +4.73 in the V-band. How many times brighter is its apparent brightness in the V-band than in the B-band if its B-V color index is +2.35?
b) Explain how μ Cephei’s apparent R-band magnitude of +1.98 demon- strates why this star is also known as the Crimson Star.
c) Given that μ Cephei has a luminosity of 3.7 · 105L⊙, estimate this star’s absolute magnitude given its distance of approximately 1800 pc. As- sume that the Sun has an absolute bolometric magnitude of +4.83.
d) μ Cephei also has a surface temperature of 3690 K, estimate its radius. If it were placed inside the Solar System, which planets would be orbitting inside of it?