Seventy days worth of solar system observations from NASA's Kepler spacecraft show the planet Neptune appearing on day 15, followed by its moon Triton. Neptune's tiny moon Nereid can be seen at day 24.
Hehe with the pixel resolution, they're using drizzle (actually developed for the hubble) and lots of PSF deconvolution..
Drizzle is where you use lots of little shifts between each image so that when you align the stars, the pixel 'grid' moves across the field of view. When you add the images together, you do so on a grid of 10x the resolution, the result is that you get back details you can't see in a single image.