The Schechter function is a mathematical model that describes the distribution of galaxies in the universe. It takes into account the number of galaxies of different luminosities and predicts the most common luminosity of galaxies in a given area of the universe.
L star is the characteristic luminosity in the Schechter function. It represents the most common luminosity of galaxies in a given area of the universe. This value is used to scale the overall shape of the Schechter function curve.
L star is calculated by fitting the Schechter function curve to observational data of galaxy luminosities. This involves finding the best values for the Schechter function parameters, including L star, that result in the closest match to the observed data.
L star is significant because it provides a way to compare the luminosities of galaxies in different areas of the universe. It also helps to identify the most common type of galaxy in a given region based on its luminosity.
L star can vary in different regions of the universe depending on the age and dynamics of the galaxies in that area. It can also vary based on the type of galaxies present, such as spiral or elliptical galaxies, as well as the amount of interstellar dust and gas present. In general, L star tends to increase in denser regions of the universe where there is a higher concentration of galaxies.