Apparent magnitude of a binary star system

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SUMMARY

The apparent magnitude of a binary star system consisting of a hot main sequence star with a magnitude of 0.5m and a red giant with a magnitude of 1.2m can be calculated using the intensity ratio formula b1/b2 = 2.512^(m2-m1). The parallax of the system is p=0.0012", which corresponds to a distance of approximately 833.65 parsecs from Earth. To find the total apparent magnitude, one must convert the magnitudes into intensities, sum them, and then convert back to magnitude.

PREREQUISITES
  • Understanding of binary star systems and their magnitudes
  • Familiarity with the concept of parallax in astronomy
  • Knowledge of the formula for converting magnitudes to intensities
  • Basic skills in astronomical calculations and unit conversions
NEXT STEPS
  • Research the method for converting magnitudes to intensities in detail
  • Learn about the effects of distance on apparent magnitude
  • Explore the concept of parallax and its applications in astronomy
  • Study the characteristics of different types of stars, including main sequence stars and red giants
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding the calculations involved in determining the apparent magnitudes of binary star systems.

~ZeroPoint~
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Homework Statement


A binary star system consists of a hot main sequence star (m=0.5m) and a red giant (m=1.2m), the parallax of the system is p=0.0012". Calculate the apparent magnitude of the system.


Homework Equations


I have b1/b2 = 2.512^(m2-m1) and p=1/r


The Attempt at a Solution


I've already calculated the distance from the system to the Earth (~833.65pc) and I know that I can't simply add the apparent magnitudes.
 
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