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4. Statistical Model of Galaxies

In devising a suitable galaxy detection and observation strategy, a necessary first step is the development of a statistical model of external galaxies giving the relevant properties of a typical galaxy as function of a limited set of parameters. Such a model is required to estimate the number of galaxies that could be detected, the angular radius to which the surface brightness profile could be followed and the resulting telemetry rate.

The observations that are needed in order to build the model are the number density, angular size and surface brightness distribution of the galaxies observed on the sky. Observations in the $ V$ or $ I$ band are preferable because the very broad $ G$ band, in which galaxies will be detected, is intermediate between these two bands, and the broad bands that will be implemented in the BBP, and in which galaxy observations will be carried out, will approximately cover this wavelength range. Recent literature, and more specifically the Medium Deep Survey (MDS, [Ratnatunga et al. 1999]) and Hubble Deep Field North (HDF-N, [Williams et al. 1996]) databases, offer a substantial amount of data in both bands, extending to large sky regions and faint magnitudes. The model's results, however, are here expressed in the $ I$ band, since mostly $ I$-band data were used. A magnitude limit of $ I=24$ mag, much fainter than it was in principle necessary for our purposes, was chosen, so as to provide an estimation of the average disturbance from galaxies to the observation of stars.

It turns out that, to a first approximation, the galaxy statistical properties that are relevant for our purposes can be conveniently expressed as function of two parameters only, namely the galaxy total magnitude and morphological type. It must be emphasized how, under our assumptions, these two parameters completely characterize the photometric properties of a galaxy. The predictions of our model are thus much different in nature from the results of conventional galaxy surface photometry analysis. While in the latter a set of parameters is fitted to galaxy images in order to obtain information about galactic structural properties, in our model the results of this analysis are combined to derive analytical expressions predicting the photometric properties of typical galaxies. While this model obviously cannot do justice to the strong individuality displayed by many galaxies, it is believed to yield sufficiently reliable results when, as in our case, only statistical properties, i.e. properties averaged over large samples, are of interest.


Subsections
next up previous contents
Next: 4.1 Morphological Classification Up: thesis Previous: 3.3.2 Galaxy Surface Photometry   Contents
Mattia Vaccari 2000-12-05