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Recent major oil-spills were tracked using observations with sufficientaltitudes over the sea surface, to detect oil slick locations. For oil-spillresponders, we propose a captive Unmanned Aerial System, UAS acting like aperiscope over a ship or supply vessel. The system is composed of an umbilicaldeployed from ship deck, and there are few studies that have examinedelasticity within cable dynamic during take-off or landing (TOL) and normalflight phases. Therefore, the safest approach for the control-commands of thesystem is through umbilical dynamic modelling. We give a time-dependantfinite-element formulation, using improved elastic non-linear cable elements.Two kinds of boundary condition, natural or essential, are discussed forroll-in or roll-out of the umbilical. A numerical convergence and a validationwith an exact solution are provided, using two examples for the flightparameters. Finally, sensitivity of the model potentially extends its capacityfor the system equilibrium prediction, under wind primary influence.

Modelling of a captive unmanned aerial system teledetecting oil pollution on sea surface