This paper presents a relational model of movement based on the notion of mobile moving about with constant speed. Three basic relations between mobiles are considered: (1) "Sometime or other, the mobiles x and u meet up somewhere", (2) "The position of the encounter between x and u and the position of the encounter between y and v are equal" and (3) " The moment of the encounter between x and u precedes the moment of the encounter between y and v".