Abstract: Flyby is one kind of relative motion trajectory with increasing importance, whereas it is absent in traditional spacecraft orbit dynamics book. This paper investigates the teaching content of flyby motion design and the implementation procedure. Firstly, the concept is defined and its characteristic is summarized through formula derivation. Then, the application is presented with four cases. The derivation is concise, which allows students to understand the teaching content better with clear logic. The teaching content is of high value to spacecraft orbit dynamics teaching, besides it shows prospective application in space engineering.