in reply to the next day's date

You can use Date::Calc of course (or Date::Manip).

I'm almost in agreement with dws, except that time is a concept that is ethreal at best. If you're in a region plagued by "daylight savings time", then this may not work during that small window where a day has only 23 hours, or perhaps 25. It's like changing time-zones even though you're sitting still.