Astronomy, Intensity from Given Flux

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SUMMARY

The discussion focuses on calculating the intensity of a light source with a uniform intensity within a 3 arcmin diameter circle, given a flux of 10−16 erg cm−2 s−1. The relevant equation for this calculation is F = ∫(dω)cosθ, where F represents flux. To find the intensity, one must divide the flux by the angular area in sterradians, which can be derived from the radius of the circle (1.5 arcmin). The discussion emphasizes the importance of understanding the relationship between flux, intensity, and angular area in astronomical contexts.

PREREQUISITES
  • Understanding of flux in astrophysics
  • Familiarity with angular measurements (arcminutes and sterradians)
  • Basic knowledge of intensity and its relationship to flux
  • Ability to perform integrals in the context of angular areas
NEXT STEPS
  • Study the relationship between flux and intensity in astrophysics
  • Learn how to convert angular measurements from arcminutes to sterradians
  • Explore the concept of uniform intensity in light sources
  • Practice calculating flux using various astronomical equations
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding light intensity and flux calculations in astronomical observations.

jmm5872
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A light source has uniform intensity I(with respect to wavelength) within a
circle of diameter 3 arcmin on the sky. The flux of radiation reaching the observer is
10^(−16) erg cm^(−2) s^(−1). Calculate the intensity of the light from this source.


relevant Equations:

This is where my confusion comes in, I'm not really sure what the relavant equations are. The only equation I have found in the textbook is this:

F = Integral (d\omega)cos\theta

(I can't seem to get the latex to work correctly, I hope this makes sense as is).

I also know flux is watts per unit area, but I'm new to this on the astronomy side. I also know an erg is 10^-7 Ws. How would I use the 3 arcmin, would I find the area of a circle with 1.5 arcmin radius? Don't you need the distance to be able to calculate the flux? Any hints to get started would be great.
 
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The flux should be the integral over the angular area (sterradians) of the intensity. Since the intensity is claimed to be constant, presumably you can divide the flux by the angular area to obtain the uniform intensity.
 

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