Hi Karl. The star is not in AAVSO's VSX (variable star catalogue) but it appears to have been observed with ASAS-3 and has the name ASAS 035045-1534.7. For some reason I have never been able to access the ASAS data and lightcurves but you may have better luck. Go to this URL:
http://www.astrouw.edu.pl/~gp/asas/asas3_catalog.html Then copy & paste this into the search box:
3:50:45.0,-15:34:39
Then click search and it should bring up the star and light curve. Be interested to see what's there.
Planetarium programs seem to have very little variable star info. Most variables I come across are shown with no variability in Starry Night.
Cheers -