As I write this comment, it is Oct 12, 3:30 pm Central time. So the launch window starts in 15 and a half hours.
It's using the wrong time zone for my location anyway, and therefore the gives the wrong local time.
The "timeanddate" meeting planner is my go-to these days for figuring out cross tz stuff:
https://www.timeanddate.com/worldclock/meeting.html
Not always super intuitive, but I have yet (heh!) seen it give wrong time info. :)