Track-module bogie-suspension apparatus for attachment to a track module having a frame, a drive wheel and an endless track. The bogie-suspension apparatus comprises (a) a bogie assembly having a bogie mount, at least one rotatable ground-engaging bogie wheel thereon, and forward and rearward bogie-mount connections; (b) first and second load- and ground-responsive suspension joints spaced from one another in a forward/rearward direction; and (c) leading and trailing suspension elements each having an upper end and a lower end, the upper ends of the leading and trailing suspension elements rotatably attached to the first and second suspension joints, respectively, and the lower ends thereof rotatably attached to the rearward and forward bogie-mount connections, respectively.