You can download it here to try it out. You need Java to run it and an internet connection to download the game and retrieve the changelog. So far, it's been tested on two computers, both running Windows 7 64-bit, with no problems.
Here's a screenshot for the skeptical:
As for the game itself, I'll get back to working on it. Version 0.7.2 has already been released, featuring the ship overview screen, new movement system, and a few other changes. You can expect one or two more of these smaller updates as I prepare the game for the addition of the combat system, coming in version 0.8.0 (Or maybe Alpha 1.0.0, if I'm feeling extravagant).
Great addition to your game, it's good to have a proper updater in place.
Does your updater handle diff updates, or just install a new version each time?