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Galactic disc

Component of disc galaxies comprising gas and stars

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Stellar component

Exponential surface brightness profiles

Galactic discs have surface brightness profiles that very closely follow exponential functions in both the radial and vertical directions.

Radial profile

The surface brightness radial profile of the galactic disc of a typical disc galaxy (viewed face-on) roughly follows an exponential function:

I(R)=I0exp⁡[−RhR],

where I0 is the galaxy's central brightness and hR is the scale length. The scale length is the radius at which the galaxy is a factor of e (≈2.7) less bright than it is at its center. Due to the diversity in the shapes and sizes of galaxies, not all galactic discs follow this simple exponential form in their brightness profiles. Some galaxies have been found to have discs with profiles that become truncated in the outermost regions.

Vertical profile

When viewed edge-on, the vertical surface brightness profiles of galactic discs follow a very similar exponential profile that is proportional to the disc's radial profile:

I(R,z)=I(R)exp⁡[−|z|hz]=I0exp⁡[−(RhR+|z|hz)],

where hz≈0.1hR is the scale height. Although exponential profiles serve as a useful first approximation, vertical surface brightness profiles can also be more complicated. For example, the scale height hz, although assumed to be a constant above, can in some cases increase with the radius.

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