un:hr
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un:hr [2024/04/16 01:28] – asad | un:hr [2024/04/16 02:23] (current) – asad | ||
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====== HR diagram ====== | ====== HR diagram ====== | ||
- | HR ([[Hertzsprung]]-[[Russell]]) diagram relates the luminosity $L$ and the effective surface temperature $T$ of stars. These two quantities are linked to the radius $R$ of a star via the equation of flux, $\mathscr{F}=\sigma T^4=L/(4\pi R^2)$. | + | HR ([[Hertzsprung]]-[[Russell]]) diagram relates the luminosity $L$ and the effective surface temperature $T$ of stars. These two quantities are linked to the radius $R$ of a star via the equation of flux, $\mathscr{F}=\sigma T^4=L/(4\pi R^2)$, meaning |
$$ R = \frac{\sqrt{L}}{\sqrt{4\pi\sigma}T^2} = \frac{\sqrt{L/ | $$ R = \frac{\sqrt{L}}{\sqrt{4\pi\sigma}T^2} = \frac{\sqrt{L/ | ||
- | which means there are diagonal constant-radius lines in the HR diagram. HR diagram can be shown using either $T$-$L$ or the corresponding observable quantities [[color index]] and absolute [[magnitude]]. Both temperature-luminosity and color-magnitude versions are shown below [clicking the image will open the corresponding applet of NAAP Labs]. | + | where $L_\odot$, $T_\odot$ and $R_\odot$ are the luminosity, temperature and radius of the sun. This means there are diagonal constant-radius lines in the HR diagram. |
[[https:// | [[https:// | ||
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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. | 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. | ||
- | HR diagram has been such a fantastic | + | HR diagrams have been such fantastic |
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+ | {{youtube> | ||
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+ | The life of a star becomes truly alive in an HR diagram. [[https:// | ||
un/hr.1713252510.txt.gz · Last modified: by asad