We do have threads for troubleshooting the cases of App Home not starting, hanging at startup, or starting but having errors on downloading apps. However, your issue sounds unique as I have yet to see it crash immediately after "launching...".
The troubleshooting process is similar nonetheless. Please take a look at your %LocalAppData%\Airspace\log.txt (or ~/Library/Application Support/Airspace/log.txt on OS X), and some of the log content here. Hopefully it'll tell us the exact error that causes App Home to quit.
If that log.txt is not sufficient, there is a more complex way to obtain a detailed node-webkit log.