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un:spiral-and-irregular-galaxies [2026/02/08 10:43] – shuvoun:spiral-and-irregular-galaxies [2026/02/10 00:14] (current) – [0.4 Surface Brightness Profile] shuvo
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 Irregular galaxies (Irr) comprise the final portion of the Hubble classification system, defined primarily by their lack of symmetry and disorganized overall morphology [25.1, 25.2]. Hubble originally divided these into two categories: Irr I, which shows some hint of organized structure like arm segments, and Irr II, which describes highly amorphous and disorganized systems [25.2]. Modern refinements have reclassified many Irr I systems as Magellanic types (Sd, Sm, or Im), such as the Large Magellanic Cloud (SBm) and the Small Magellanic Cloud (Im), which often exhibit off-center bars [25.2]. These galaxies are generally less massive than major spirals, with typical masses ranging from $10^8$ to $10^{10}M_{\odot}$,yet they possess the highest proportions of volatiles in the universe [25.2]. The mass fraction of gas in irregular systems is exceptionally high, often accounting for 50% to as much as 90% of the total galactic mass [25.2]. Because of this abundance of raw material, irregular galaxies are sites of vigorous and ongoing star formation, resulting in a characteristically blue color index of approximately B−V≈0.37 [25.2]. Unlike earlier-type galaxies, irregulars often become bluer toward their centers, indicating that recent star birth is occurring throughout their disorganized interiors rather than being restricted to a well-defined disk [25.2]. The system M82 (NGC 3034) provides a quintessential example of the Irr II or amorphous type, showing a structure that is often the result of intense bursts of star formation or external gravitational interactions [25.1, 25.2]. Kinematically, irregular galaxies exhibit much slower maximum rotation velocities, generally ranging from 50 to 70 km/s Irregular galaxies (Irr) comprise the final portion of the Hubble classification system, defined primarily by their lack of symmetry and disorganized overall morphology [25.1, 25.2]. Hubble originally divided these into two categories: Irr I, which shows some hint of organized structure like arm segments, and Irr II, which describes highly amorphous and disorganized systems [25.2]. Modern refinements have reclassified many Irr I systems as Magellanic types (Sd, Sm, or Im), such as the Large Magellanic Cloud (SBm) and the Small Magellanic Cloud (Im), which often exhibit off-center bars [25.2]. These galaxies are generally less massive than major spirals, with typical masses ranging from $10^8$ to $10^{10}M_{\odot}$,yet they possess the highest proportions of volatiles in the universe [25.2]. The mass fraction of gas in irregular systems is exceptionally high, often accounting for 50% to as much as 90% of the total galactic mass [25.2]. Because of this abundance of raw material, irregular galaxies are sites of vigorous and ongoing star formation, resulting in a characteristically blue color index of approximately B−V≈0.37 [25.2]. Unlike earlier-type galaxies, irregulars often become bluer toward their centers, indicating that recent star birth is occurring throughout their disorganized interiors rather than being restricted to a well-defined disk [25.2]. The system M82 (NGC 3034) provides a quintessential example of the Irr II or amorphous type, showing a structure that is often the result of intense bursts of star formation or external gravitational interactions [25.1, 25.2]. Kinematically, irregular galaxies exhibit much slower maximum rotation velocities, generally ranging from 50 to 70 km/s
  , which suggests they lack the necessary angular momentum per unit mass to develop a well-organized spiral pattern [25.2]. Despite their smaller sizes—typically 1 to 10 kpc in diameter—they are critical to understanding chemical evolution, as they continue to process primordial gas into heavier elements via supernova-driven recycling [25.2]. Their specific frequency ($S_N$) of globular clusters is also lower on average than that of elliptical galaxies, indicating different early formation efficiencies [25.2]. Ultimately, irregular galaxies serve as the "late-type" end of the Hubble sequence, marking a transition toward systems nearly entirely composed of young stars and the interstellar medium [25.1].  , which suggests they lack the necessary angular momentum per unit mass to develop a well-organized spiral pattern [25.2]. Despite their smaller sizes—typically 1 to 10 kpc in diameter—they are critical to understanding chemical evolution, as they continue to process primordial gas into heavier elements via supernova-driven recycling [25.2]. Their specific frequency ($S_N$) of globular clusters is also lower on average than that of elliptical galaxies, indicating different early formation efficiencies [25.2]. Ultimately, irregular galaxies serve as the "late-type" end of the Hubble sequence, marking a transition toward systems nearly entirely composed of young stars and the interstellar medium [25.1].
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 +==== - Theories on Spiral Structure ====
 +The theory of spiral structure addresses the fundamental "winding problem," which notes that if spiral arms were composed of a fixed set of stars (material arms), the **differential rotation** of a galaxy would wind them too tightly to be observed after only a few orbits [12, 25.3]. The primary explanation for grand-design spirals is the **Lin–Shu density wave theory**, which posits that spiral arms are not material structures but **quasistatic density waves** of higher mass density (roughly 10% to 20% greater than average) through which stars and gas clouds move like cars in a traffic jam [25.3]. As gas clouds enter these high-density regions, they are compressed, triggering the **formation of new stars** and resulting in the bright OB associations and H II regions that delineate the arms [25.3]. For "flocculent" spirals with patchy, broken arms, the theory of **stochastic self-propagating star formation** suggests that localized star birth triggered by supernova shocks is stretched into spiral segments by differential rotation [25.3]. Additionally, these spiral patterns may be initiated or maintained by **gravitational perturbations**, such as tidal interactions with companion galaxies or the presence of a central stellar bar [25.3]. 
  
  
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 $M = -10 \log_{10} V_{\text{max}} + \text{constant}$ $M = -10 \log_{10} V_{\text{max}} + \text{constant}$
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 Accurate determination of these profiles requires meticulous sky subtraction to account for the background sky brightness, which typically averages:  Accurate determination of these profiles requires meticulous sky subtraction to account for the background sky brightness, which typically averages: 
  
-$\mu_{sky} \approx 22 \ arcsec^{-2}$+$\mu_{sky} \approx 22 \ mag \ arcsec^{-2}$
  
 The bulges of spiral galaxies and large elliptical galaxies are most frequently modeled using the de Vaucouleurs $r^{1/4}$ law. In units of magnitudes per arcsecond squared ($\text{mag arcsec}^{-2}$), this profile is defined as: The bulges of spiral galaxies and large elliptical galaxies are most frequently modeled using the de Vaucouleurs $r^{1/4}$ law. In units of magnitudes per arcsecond squared ($\text{mag arcsec}^{-2}$), this profile is defined as:
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 In this versatile model: (1) $n = 1$ yields the exponential disk profile, (2) $n = 4$ recovers the standard de Vaucouleurs law. In this versatile model: (1) $n = 1$ yields the exponential disk profile, (2) $n = 4$ recovers the standard de Vaucouleurs law.
  
-Finally, the **Holmberg radius** ($r_H$) and the isophotal radius $R_{25}$ (where the surface brightness reaches $25 \ arcsec^{-2}$ provide standardized benchmarks for comparing the physical extents of different galaxies regardless of their Hubble type.+Finally, the **Holmberg radius** ($r_H$) and the isophotal radius $R_{25}$ (where the surface brightness reaches $25 \ mag \ arcsec^{-2}$ provide standardized benchmarks for comparing the physical extents of different galaxies regardless of their Hubble type.
  
  
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 (3) Correcting the colors of high-redshift objects to their rest-frame equivalent (often termed "color transformation"). (3) Correcting the colors of high-redshift objects to their rest-frame equivalent (often termed "color transformation").
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 +There is a classic article on K-correction in arXiV: [[https://arxiv.org/pdf/astro-ph/0210394]]
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un/spiral-and-irregular-galaxies.1770572583.txt.gz · Last modified: by shuvo
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