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--- courses:ast301:3 [2024/03/15 11:57] – [3. HR diagram] asad
+++ courses:ast301:3 [2024/03/15 13:19] (current) – [3. HR diagram] asad
@@ Line 164: / Line 164: @@
 ===== - HR diagram =====
-HR ([[wp>Ejnar_Hertzsprung|Hertzsprung]]-[[wp>Henry_Norris_Russell|Russell]]) diagram related the luminosity and temperature of stars. These two quantities are linked to the radius via the equation of flux we introduced before: $\mathscr{F}=\sigma T^4=L/(4\pi R^2)$ leading to
+HR ([[wp>Ejnar_Hertzsprung|Hertzsprung]]-[[wp>Henry_Norris_Russell|Russell]]) diagram related the luminosity and temperature of stars. These two quantities are linked to the radius via the equation of flux we introduced before: $\mathscr{F}=\sigma T_e^4=L/(4\pi R^2)$ where  $T_e$  is the **effective temperature**.
  $R = \frac{\sqrt{L}}{\sqrt{4\pi\sigma}T^2} = \frac{\sqrt{L/L_\odot}}{(T/T_\odot)^2} \ R_\odot$