PHYS 4103W In Class 1-Stellar Magnitudes Name Thomas H. Glouho m stars luminosit
ID: 1571385 • Letter: P
Question
PHYS 4103W In Class 1-Stellar Magnitudes Name Thomas H. Glouho m stars luminosity, L. is the rate at which it emits energy in watts. A stars nux Fis the rate at which that energy passes through an area at some distance from the star in w/m2. write down the relationship between flux a distance daway from a star and luminosity. The starlight will be spread over a sphere with radius d. Astars apparent brightness is a measure of its flux. Stars were originally classified according to their brightness by Hipparcus. He divided stars up into six categories that he labeled magnitude 1-6. Magnitude 1 stars were the brightest and magnitude 6 stars were the dimmest that could be seen with the unaided human eye. This system was further formalized by Norman Progson who realized that the flux produced by magnitude 1 stars was roughly 100 times greater than magnitude 6 stars. If mi 1 and m2 6 are the magnitudes of two stars with corresponding fluxes Fi and F2. verify that the following relationship holds: 10 I00 What is the relative flux between a magnitude 2 and magnitude 3 star? (m1-2 and m2-3 7,512 Solve equation for m2 (2) Conventionally, the magnitude of the star Vega is used as the zero point of the magnitude scale (mvega 0). Let mi mvega 0, mz m, Fi Fivga, Fr F. Substitute these quantities into (2)Explanation / Answer
magnitude of two star combination = 7.5 * log(F1/F2)
= 7.5 * log(104/103)
= 7.5
total magnitude as function Ftotal = Ftotal * log(F1/F2) + 5
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