un:hr
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====== HR diagram ====== | ====== HR diagram ====== | ||
- | HR ([[wp> | + | HR ([[Hertzsprung]]-[[Russell]]) diagram |
$$ R = \frac{\sqrt{L}}{\sqrt{4\pi\sigma}T^2} = \frac{\sqrt{L/ | $$ 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. | + | 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:// | ||
- | 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< | + | 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 $m_B< |
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 diagrams have been such fantastic infographics in astrophysics that their creators [[Hertzsprung]] and [[Russell]] have been called the Minards of astronomy, where Minard is the French engineer who became famous by drawing the most influential flow-map of the 1812 Ruassian campaign of Napoleon in 1869.(([[https:// | ||
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+ | {{youtube> | ||
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+ | The life of a star becomes truly alive in an HR diagram. [[https:// | ||
un/hr.1713249658.txt.gz · Last modified: by asad