Eclipsing binary stars question

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SUMMARY

The discussion focuses on calculating the flux ratios for an eclipsing binary star system, specifically for two stars with temperatures T1=5000 K and T2=10000 K, and a radius ratio of R1/R2=4. The key equations involved are Flux = σT⁴ and Brightness = πR²σT⁴. Participants are tasked with computing fa/fnormal and fb/fnormal, where fnormal is the total flux when neither star is obscured. The challenge arises from the need to account for the light blocked during the eclipses, despite the problem's emphasis on flux rather than brightness.

PREREQUISITES
  • Understanding of the Stefan-Boltzmann Law (Flux = σT⁴)
  • Knowledge of brightness calculations (Brightness = πR²σT⁴)
  • Familiarity with the concept of eclipsing binary star systems
  • Basic algebra for manipulating ratios and equations
NEXT STEPS
  • Study the effects of eclipses on light curves in binary star systems
  • Learn about the application of the Stefan-Boltzmann Law in astrophysics
  • Explore advanced topics in stellar brightness and flux calculations
  • Investigate observational techniques for measuring flux in binary systems
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in the dynamics of binary star systems and light curve analysis.

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Homework Statement



Figure 1 showed the light curve for an exlipsing binary system. This system consists of 2 stars. Star is is the larrger of the stars, and has a surface temp of T1=5000 K. Star 2 has a surface temp of T2=10000K. The ratio of their radii is R1/R2=4. Fnormal is the flux from the system when neither star is blocked. and fa and fb are the fluxes when star 2 passes in front of, or behind star 1, as seen from Earth.

(A)Compute fa/fnormal
(B)Compute fb/fnormal

The light curve looks like this:

http://www.ifa.hawaii.edu/users/mendez/ASTRO110LAB07/modeleb.gif

where the top line is fnormal, the drop at x=.5 is fa, and the drop at x=1 is fb.

Homework Equations



Flux = [tex]{\sigma}T^{4}[/tex]
Brightness = [tex]{\pi}R^{2}{\sigma}T^{4}[/tex]

The Attempt at a Solution



I am being thrown off because the question says compare the fluxes, but just computing the flux doesn't take into account the fact that you are blocking out some light from each star when one passes in front of another. For that I would use brightness, but he makes no mention of using brightness in the question.
 
Last edited:
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sorry, i didnt post this in the astronomy section
 

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