The day night cycle is server specific. It is a cyclic clock that starts ticking when the server comes up after a restart. Even if Turbine were to bring all the servers down for maintenance and back up. They will not all come up at the same moment in real time. The in game day is designed so that it does not divide evenly into a 24 hour day. If you you log at 7 PM your time every day. You will log into a different part of the Lotro day and night cycle each day.
I do not know of any application that does what you want.
Unless stated otherwise, all content in this post is My Personal Opinion.