The moon details card on Astrospheric shows at a glance information for current and future moon events. The details are computed dynamically for your current forecast location. Getting a forecast for another location will update the moon data accordingly.
Next Moon Phase shows the dates of the next quarter moon event.
In addition to current and phases, the Moon details will also display Lunar Eclipse data if an eclipse will occur at the given location in the next year. The Lunar Eclipse data card is similar to the Solar Eclipse data, however lunar specific events like Penumbral times are included.