Advice needed: Astronomy radiation problem

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SUMMARY

The discussion centers on calculating the flux at point P, located at a distance r from the center of a sphere with uniform brightness B, as well as for an infinite plane and a square surface with side L. The participants emphasize the need to formulate appropriate integrals to solve these problems. Key concepts include the application of radiative transfer principles and the use of integral calculus to derive the flux equations for different geometries.

PREREQUISITES
  • Understanding of radiative transfer principles
  • Knowledge of integral calculus
  • Familiarity with flux calculations in astrophysics
  • Concept of uniform brightness in astronomical contexts
NEXT STEPS
  • Study the derivation of flux equations for spherical surfaces
  • Research the application of integrals in calculating flux for infinite planes
  • Explore the mathematical treatment of flux for finite geometries like square surfaces
  • Learn about the implications of brightness uniformity in astrophysical models
USEFUL FOR

Astronomy students, astrophysicists, and educators seeking to deepen their understanding of flux calculations in various geometrical contexts.

snowflakita78
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Homework Statement
Calculate the flux at point P located at a distance r from the centre of a sphere with uniform brightness, B. Idem for an infinite plane with the same brightness B. And the same for a square surface with side L.
Relevant Equations
N/A
Hi! I’m really struggling to solve the last part of this problem, from where it says “Idem for an infinite plane with the same brightness B. And the same for a square surface with side L.”.

Could anyone please help or point me in the right direction? Thank you so much in advance!
 
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snowflakita78 said:
Homework Statement:: Calculate the flux at point P located at a distance r from the centre of a sphere with uniform brightness, B. Idem for an infinite plane with the same brightness B. And the same for a square surface with side L.
Relevant Equations:: N/A

Hi! I’m really struggling to solve the last part of this problem, from where it says “Idem for an infinite plane with the same brightness B. And the same for a square surface with side L.”.

Could anyone please help or point me in the right direction? Thank you so much in advance!
Per forum rules, you must show some attempt.
Can you write a suitable integral?
 

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