Binary stars apparent and absolute magnitudes

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SUMMARY

The discussion focuses on calculating the apparent and absolute magnitudes of individual stars in a binary star system with equal luminosity. Given that the combined apparent magnitude is 11.2 and the distance is 76 parsecs, the apparent magnitude of each star can be determined using the formula for combined luminosity. The absolute magnitude can then be calculated using the luminosity of one star and the provided equations.

PREREQUISITES
  • Understanding of stellar luminosity and magnitude concepts
  • Familiarity with logarithmic calculations in astronomy
  • Knowledge of the distance modulus formula
  • Basic grasp of binary star systems
NEXT STEPS
  • Study the calculation of individual star magnitudes in binary systems
  • Learn about the distance modulus in astronomy
  • Explore the concept of luminosity and its relation to absolute magnitude
  • Investigate the use of logarithmic functions in astrophysics
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Astronomy students, astrophysics researchers, and anyone interested in understanding binary star systems and their luminosity calculations.

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Homework Statement


A binary star system has two star of equal luminosity. The apparent magnitude of the two stars together is 11.2, and they are at a distance is 76pcs. How do I work out the apparent and absolute magnitudes of just one star?


Homework Equations



m=-2.5log(L)

m-M=5log(d)-5

M=-2.5log(L/Lsun)+4.8



The Attempt at a Solution



luminosities can be added, I know that much.
 
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So given that the luminosities can be added, if the luminosity of each start is L, what is the luminosity of the system? Then, using your first equation, knowing the apparent magnitude of the system, what is the apparent magnitude of each star?
 

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