Abstract: The main components of an exemplary inventive simulation are a towing platform (such as a ship), a towed body, an underwater vehicle (such as a UUV), and a tow cable connecting the towing platform and the towed body. An objective of the dynamic arrangement of the components is to perform a “line capture” of the moving vehicle by the cable. Respective motions and positions of the towing platform and the towed body affect the cable. Waves and currents in the water, as well as changes in catenary and tension of the cable, affect the tow body. Advantageously, the invention more accurately accounts not only for continuities, but also for discontinuities, characterizing the dynamic interrelationships between and among the components. Among the invention's features is its ability to “trigger” consideration of certain dynamic manifestations relating to the vehicle, depending on whether or not the vehicle is in a captured state.