The Docking Computer is a medium-sized, rectangular device with a sleek, metallic exterior, designed to seamlessly integrate into a spacecraft's control panel. It features a smooth, polished surface with subtle grooved patterns for grip, and a small, illuminated display screen that shows docking status in a cool blue hue. The edges are slightly rounded for an ergonomic fit, and it has a series of small, recessed buttons for manual override, each with a faint glow to indicate functionality.