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Title: Science Case<br />

Reference: MUSE-MEM-SCI-052<br />

Issue: 1.3<br />

Date: 04/02/2004<br />

Page: 49/100<br />

The main issue <strong>for</strong> a MUSE survey is the limited field of view (1 arcmin 2 ). The comoving<br />

scale corresponding to 1 arcmin does not change strongly with redshift at z > 2 and is<br />

approximately 2.5 Mpc. For studying the assembly of individual galaxies, surveying scales of<br />

only a few Mpc is sufficient. At turn-around, the 6×10 10 M <br />

of matter which is currently<br />

within the virialized halo of a ~L* galaxy such as the Milky Way is contained within a<br />

volume of radius 750 kpc. Thus a survey field of side 2.5 Mpc should contain all the baryonic<br />

material that will assemble into individual L* galaxies.<br />

The other physical scale of interest is the clustering scale of galaxies, about 5-10 comoving<br />

Mpc. This enters into the issue of sampling variance since it means that the galaxy population<br />

within sp<strong>here</strong>s of this size is highly correlated and the statistics of galaxies are far more noisy<br />

than simple consideration of their numbers would indicate - put another way, the n galaxies<br />

within a sample do not represent n statistically independent entities but rather n/m entities,<br />

w<strong>here</strong> m may be calculated from the correlation function knowing the survey geometry.<br />

Surveys on arc-minute scales are dominated by this sampling variance: a good example is the<br />

very different population of red galaxies in the HDF-N and HDF-S which, on their own would<br />

lead to quite different interpretations of the global star-<strong>for</strong>mation rate.<br />

Given the limited field of view of MUSE, the two strategies <strong>for</strong> overcoming sampling<br />

variance are (a) to observe adjacent contiguous fields to build up a larger area, or (b) to<br />

observe widely separated fields. Of these,<br />

the second is much more efficient: the<br />

statistical weight of the survey builds up as<br />

N 0.5 (w<strong>here</strong> N is the number of MUSE<br />

pointings) w<strong>here</strong>as in (a) the gain is more<br />

like N 0.3 . Thus the optimum survey<br />

strategy would be to observe multiple<br />

widely spaced pointings.<br />

A good feature of this is that this strategy<br />

naturally accommodates the need <strong>for</strong> m ~<br />

17–18 guide stars <strong>for</strong> the AO system.<br />

Un<strong>for</strong>tunately, at present, most of the deep<br />

extragalactic survey fields, and especially<br />

those that have been observed with the<br />

HST) consist of a handful of large<br />

contiguous areas (e.g. GOODS-S 10×16<br />

arcmin 2 ). However, within these, multiple<br />

pointings around available stars could be<br />

made (Fig. 2-26).<br />

Figure 2-26: Potential guide-stars in the CDFS<br />

region, each surrounded by a 90 arcsec radius<br />

region. Axes are decimal degrees in RA and dec

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