A system development case study problem based on a set of aircraft landing gear is examined in Hybrid Event-B (an extension of Event-B that includes provision for continuously varying behaviour as well as the usual discrete changes of state). Although tool support for Hybrid Event-B is currently lacking, the complexity of the case study provides a valuable challenge for the expressivity and modelling capabilities of the Hybrid Event-B formalism. The size of the case study, and in particular, the number of overtly independent subcomponents that the problem domain contains, both significantly exercise the multi-machine and coordination capabilities of the modelling formalism. These aspects of the case study, vital in the development of realistic cyberphysical systems in general, have contributed significant improvements in the theoretical formulation of multi-machine Hybrid Event-B itself.