A graphical and mathematical analysis of homing and navigational courses of automatic target‐seeking devices is presented. Homing courses for a seeker‐to‐target speed ratio of over two are likely to be impractical for target interception. A method for obtaining a constant bearing course (navigational course) is developed. Some special cases of navigational courses have been studied graphically. It is shown that an optimum navigational ratio exists between that which leads to too slow an approach to the desired course and that which leads to instability. Graphical analysis of navigational courses for straight as well as circular target motion is also given.