Calculating the luminosity density of the universe

AI Thread Summary
The discussion focuses on calculating the luminosity density of the universe using the Schechter parameters from the Sloan Digital Sky Survey (SDSS). The parameters include a value for the absolute magnitude M* and the density parameter Phi*. A participant expresses confusion about correctly relating absolute magnitude M* to luminosity L*, believing they made an error in their calculations. They mention that L* should be around 10^10 and seek clarification on this relationship. The urgency of the request is emphasized due to an impending deadline for submission.
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l = Phi*L*Gamma(a+2)

b)

The Sloan Digital Sky Survey (SDSS) has recently measured the following Schechter
parameters in the r passband: a = -1.16 +/- 0.03, M*= -20.80 +/- 0.03, Phi* = (1.50 +/-0.13). Given that the sun has absolute magnitude M = 4.62 in the SDSS r band, calculate the luminosity density in this band in solar units. Estimate the error on this quantity.
Gamma(0.84) = 1.122, Gamma(0.81) = 1.153, Gamma(0.87) = 1.094.


I done the entire question and then realized i had made a grave error. And this is what I think it is; I took L* as being -20.80 +/- 0.03 ie M*, and I am pretty sure this is wrong. Luminosity confuses me and I'm not sure how to relate the absolute magnitude M* to the Luminosity L*. I know that L* is supposed to be in the order of 10^10. Can anyone out there help? Its kind of urgent (due in tomorrow!).
 
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