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--- courses:ast301:3 [2024/03/15 11:33] – [3. HR diagram] asad
+++ courses:ast301:3 [2024/03/15 13:19] (current) – [3. HR diagram] asad
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 ===== - 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**.
 $$ R = \frac{\sqrt{L}}{\sqrt{4\pi\sigma}T^2} = \frac{\sqrt{L/L_\odot}}{(T/T_\odot)^2} \ R_\odot $$
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 [[https://astro.unl.edu/naap/hr/animations/hr.html|{{:courses:ast301:hrd.webp?nolink|}}]]
-B-V color index is the difference between apparent magnitudes in the blue and visual or yellow bands, i. e. $m_B-m_V$. The absolute magnitude on the $y$-axis is the yellow magnitude $M_V$. A negative B-V index means the $m_B<m_V$ and, hence, the brightness in blue wavelengths is greater than in the visual band. Note that $M_V\propto - \log L$ and $m_B-m_V\propto \log T$ which will be evident if you compare the axes of the two panels.
+B-V color index is the difference between apparent magnitudes in the blue and visual or yellow bands, i. e. $m_B-m_V$. The absolute magnitude on the $y$-axis is the yellow magnitude $M_V$. A negative B-V index means the $m_B<m_V$ and, hence, the brightness in blue wavelengths is greater than in the visual band. Note that $M_V\propto - \log L$ and $(m_B-m_V)\propto -\log T$ which will be evident if you compare the axes of the two panels.
 The green patch in the HR diagram is the main sequence where a star stays during its stable period. Before the birth a star is to the lower right hand side of the main sequence. When the equilibrium of the star is broken, it moves to the upper right hand side of the main sequence toward the giant (light red) or supergiant (blue) branches. After death stars move to the lower left hand side of the main sequence near the white dwarf patch (grey). Some massive stars oscillate periodically and they are found in the instability strip (dark red). On the main sequence the heavier stars are found in the upper part, and vice versa.