Derive surface brightness formula

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SUMMARY

The discussion focuses on deriving the surface brightness formula, specifically S(mag/arcsec^2) = M⊙ + 21.572 - 2.5 log_{10} S(L⊙/pc^2). This formula is essential for astrophysical calculations involving the brightness of celestial objects. Participants emphasize the importance of understanding the components of the formula, including the solar magnitude (M⊙) and luminosity (L⊙), to accurately apply it in various astrophysical contexts.

PREREQUISITES
  • Understanding of astrophysical concepts such as surface brightness and luminosity.
  • Familiarity with logarithmic functions and their applications in scientific formulas.
  • Knowledge of solar magnitude (M⊙) and its significance in astronomy.
  • Basic mathematical skills for manipulating equations and deriving formulas.
NEXT STEPS
  • Research the implications of surface brightness in astronomical observations.
  • Study the derivation of related formulas in astrophysics, such as the distance modulus.
  • Learn about the application of logarithmic scales in measuring brightness and luminosity.
  • Explore the role of M⊙ in different astrophysical contexts and its impact on surface brightness calculations.
USEFUL FOR

Astronomers, astrophysics students, and researchers involved in celestial object analysis and brightness measurements will benefit from this discussion.

Zapped17
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Homework Statement
How to derive derive formula for surface brightness that converts mag/arcsec^2 to L⊙/pc^2?
Relevant Equations
S(mag/arcsec^2) = M⊙ + 21.572 -2.5 log_{10} S(L⊙/pc^2)
Derive formula for surface brightness
The formula in question we wanna derive is:
S(mag/arcsec^2) = M⊙ + 21.572 -2.5 log_{10} S(L⊙/pc^2).
Best regards.
 

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