iLuna
iLuna is an astrological lunar calendar for smartphones. It displays information about the phase of the Moon, the sign of the zodiac the Moon is in, the void-of-course periods of the Moon. The iOS version is also displaying the mansions of the Moon. All this information is available for any day in a wide range of years (until 2050).
On opening the app, you'll see information for the current day: the phase of the Moon, the sign of the zodiac, and the void-of-course status. The version for iPhone also displays the lunar mansion.
In the iPhone version, you can swipe a section with information from right to left or from left to right and see the next or the previous phase, sign, etc. And if you long-press it, it will return to displaying the information for the current moment.
Tap on the element of information you are interested in, and you'll see a description for it.
On the iPhone you can see a summary of information for the current day (the Day View). Tap on any of the elements, and you'll see its description. Swipe the screen right-to-left or left-to-right, and you'll see a summary for the next or for the previous day. Long-press, and you'll return to the current day.
In the Android version, you can use the date picker to select a date.
In the iPhone version you can use a monthly calendar. Tap the day you are interested in, and you'll see it opened in the Day view. Swipe the calendar right-to-left or left-to-right to see the next or the previous month. Long-press it to return to the current month.