Update: the new version released with iOS 8 is a tremendous upgrade. This app just gets better and better!
Original review: I am truly amazed by this application. Its a bit difficult to put into words why that is, but the app evokes an almost visceral reaction, unlike any of the more popular astronomy applications (SkySafari Pro, Star Walk) I have used. The vision of the author comes through in a thousand details large and small, and the sum is greater than its parts. The full Tycho 2 star catalog is enormous, which is just one external resource the app draws upon to make it the biggest collection of space objects I have seen. While there is a bit of a learning curve, it is well worth the effort; the app advances the state of the art not only for astronomy software, but for iOS apps in general. Highly, highly recommended.
PD Ferguson about Luminos