The application of Data Warehousing (DW) and OLAP techniques on conventional data has been extensively studied in the literature. On the other hand, Trajectory Data Warehousing and Trajectory OLAP are relatively new research areas, which have to deal with the spatiotemporal (hence dynamic) nature of such data. In this paper, we present an innovative organization of a trajectory data cube in order to be able to answer OLAP queries considering different interpretations of the notion of trajectory. Thus, ad-hoc analysis on trajectory data cubes can be achieved, which can be really useful for a number of applications. Preliminary experimental results illustrate the applicability and efficiency of our approach.