Studies of resolved stellar populations in the Milky Way and nearby galaxies
reveal an amazingly detailed and clear picture of galaxy evolution. Within the
Local Group, the ability to probe the stellar populations of small and large
galaxies opens up the possibility of exploring key questions such as the nature
of dark matter, the detailed formation history of different galaxy components,
and the role of accretion in galactic formation. Upcoming wide-field surveys
promise to extend this ability to all galaxies within 10~Mpc, drastically
increasing our capability to decipher galaxy evolution and enabling statistical
studies of galaxies' stellar populations. To facilitate the optimum use of
these upcoming capabilities we develop a simple formalism to predict the
density of resolved stars for an observation of a stellar population at fixed
surface brightness and population parameters. We provide an interface to
calculate all quantities of interest to this formalism via a public release of
the code: \texttt{walter}. This code enables calculation of (i) the expected
number density of detected stars, (ii) the exposure time needed to reach
certain population features, such as the horizontal branch, and (iii) an
estimate of the crowding limit, among other features. These calculations will
be very useful for planning surveys with NASA's upcoming Nancy Grace Roman
Space Telescope (Roman, formerly WFIRST), which we use for example calculations
throughout this work.
Preprint
Comment: 16 pages, 6 figures, submitted to AJ. Comments welcome
Subjects: Astrophysics - Instrumentation and Methods for Astrophysics; Astrophysics - Astrophysics of Galaxies