Discovering the Solar Corona Luminosity Curve: Explained and Explored

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SUMMARY

The discussion focuses on the solar corona luminosity curve in relation to distance, specifically up to 4 solar radii. The curve is identified as exponential, and the participant seeks the actual equation governing this relationship. They reference a figure from a document that suggests a temperature range of approximately 1,500,000 K, leading to a luminosity calculation based on the formula L=4π(R^2)σ(T^4). The participant concludes that the difference in luminosity can be derived by multiplying the lowest values by 10^4.

PREREQUISITES
  • Understanding of solar physics and the solar corona
  • Familiarity with the Stefan-Boltzmann Law (L=4π(R^2)σ(T^4))
  • Basic knowledge of exponential functions
  • Ability to interpret scientific figures and data
NEXT STEPS
  • Research the solar corona's temperature variations and their effects on luminosity
  • Explore the implications of the Stefan-Boltzmann Law in astrophysics
  • Study the mathematical modeling of exponential curves in astrophysical contexts
  • Examine additional resources on solar radiation and its measurement techniques
USEFUL FOR

Astronomers, astrophysicists, and students studying solar phenomena or those interested in the mathematical modeling of stellar luminosity.

Eleftheria
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I've been trying to find out what's the curve for the solar corona luminosity vs distance like.
I know that the corona can be practically observed up to 4 solar radii. I also found out that the curve is more or less exponential but I need the actuall equation of the curve.

Can anyone help me?
 
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Judging by that figure I assume that the difference in temperature (from the lowest to the highest value) for the corona is about 1 500 000 K (more or less), which means that the lowest value must be multiplied by 10 to reach the highest.
So, based on the equation that relates temperature and luminosity [L=4π(R^2)σ(T^4)] I guess the difference in luminosity (from the lowest to the highest value) can be found if we multiply the lowest values by 10^4.

Am I right?
 

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