In this exercise, you will explore the differences in the populations of galaxies detected by the two surveys: ALFALFA and the SDSS.
We will provide you with all the data you need. We hope that you have already had a chance to play with TOPCAT. If you have not used TOPCAT before, check out the links on the UAT Groups Google Site and/or find someone who has used it before.Next we will use TOPCAT to match entries in the two catalogs. Crossmatch the two catalogs by AGC number in TOPCAT. To do this, use the "Joins" function with the "Pair Match" option (alternatively hit the double-match icon in the main window). Use the 'Exact Value' Algorithm and pick the AGC number for each table in TOPCAT.
Going back to the original catalogs, make a crossmatch using the "Sky" algorithm. Use the HI positions for the α.40 catalog.
Now let's look at how the gas and stars are connected in the α.40 galaxy population. Note that the SDSS file contains parameters for both V-band and i-band, but let's stick to the i-band for this exercise. Plot the i-band optical luminosity, log_LI, on the x axis versus the HI mass, logM_HI, on the y axis. We suggest you scale the axes as log_LI=[6,11.5] and logM_HI = [6,11.5].
Make a second plot using the optical luminosity and the gas fraction parameter. You will need to calculate the "gas fraction" (gas2L = logM_HI - log_LI) for each α.40 galaxy which also has SDSS photometry. Use TOPCAT to do this, by adding a column and typing in the formula. Then plot the i-band optical luminosity, log_LI, on the x axis versus the gas fraction, logM_HI, on the y axis.
Consider the results:The plots you made above are called "scaling relations" because they illustrate how one property of a galaxy scales (is related to) another. The optical luminosity that you plotted may also be converted to an estimate of the stellar mass in the galaxy (i.e., how much mass produces the light) using stellar evolution and population models. Plots illustrating the scaling relations between gas, stars, and star formation can be found in Figure 2 of Huang et al. 2012, for example.