[size=150]Presented materials are primarily intended for high school students and for students of the teaching of mathematics.[br][br]Besides the fact that the use of GeoGebra to create models of planetary motion is amazing in itself, this activity also [size=150]has [/size]its practical use in (high school and college) math education. [br][br]We will show how GeoGebra allows students (high school students and students of the teaching of mathematics) not only to understand the essence of the proof, but, through exercises based on the successive phases of the proof, to also practice and use their knowledge of the geometry of triangle and conic sections.[br][br][b]GeoGebra allows students to deal with these problems.[/b][/size]