Effective radius

The effective radius or half-light radius ( R e {displaystyle R_{e}} ) of a galaxy is the radius at which half of the total light of the system is emitted. This assumes the galaxy has either intrinsic spherical symmetry or is at least circularly symmetric as viewed in the plane of the sky. Alternatively, a half-light contour, or isophote, may be used for spherically and circularly asymmetric objects. The effective radius or half-light radius ( R e {displaystyle R_{e}} ) of a galaxy is the radius at which half of the total light of the system is emitted. This assumes the galaxy has either intrinsic spherical symmetry or is at least circularly symmetric as viewed in the plane of the sky. Alternatively, a half-light contour, or isophote, may be used for spherically and circularly asymmetric objects. R e {displaystyle R_{e}} is an important length scale in de Vaucouleurs R 4 {displaystyle {sqrt{R}}} law, which characterizes a specific rate at which surface brightness decreases as a function of radius: where I e {displaystyle I_{e}} is the surface brightness at R = R e {displaystyle R=R_{e}} . At R = 0 {displaystyle R=0} , Thus, the central surface brightness is approximately 2000 ⋅ I e {displaystyle 2000cdot I_{e}} .