Video motion analysis allows tracing trajectories of objects in motion and is an established method in physics education. Tablet computers, with their integrated cameras, offer the opportunity to both record and analyze dynamic motions during experiments on a single device. This enables students to work without transitioning the data between camera and computer, but with ubiquitously available applications on mobile devices. This article describes a model experiment to examine Kepler's laws of motion using tablet computers with a video analysis application.