Astrophysics: radiation pressue&gas pressure

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SUMMARY

The discussion centers on calculating the critical mass of a star, which is determined to be 2.5 times the mass of the Sun. The user successfully equated the temperatures of radiation and gas pressures and utilized the equation P = GM²/R⁴ to solve the problem. This equation is crucial for understanding the balance between gravitational forces and radiation pressure in stellar formation.

PREREQUISITES
  • Understanding of stellar physics and critical mass concepts
  • Familiarity with the equation P = GM²/R⁴
  • Knowledge of radiation pressure and gas pressure dynamics
  • Basic grasp of thermodynamics in astrophysics
NEXT STEPS
  • Study the derivation and implications of the equation P = GM²/R⁴
  • Research the relationship between radiation pressure and gas pressure in stars
  • Explore the concept of critical mass in stellar evolution
  • Learn about the role of temperature in stellar stability and formation
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in the mechanics of star formation and the balance of forces within stars.

nbky
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IMG_20121106_113635.jpg

first sorry for my english.

i wrote the problem and equations.the result is:

critical mass of a star =2,5x mass of the sun.

but i couldn't find the result.pls help me to find the result with this equations.
 
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i solved the problem.

tempeture of radiation and tempeture of gas are equal.And when i add a equation on the problem which is P=GM^2/R^4, i solve the problem.
 

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