• air refuelling
• air to air refuelling
• basket
• bow wave effect
• continuous gusts
• drogue
• Dryden gusts
• gust model
• probe and drogue
• refuelling basket
• von Karman gusts

The purpose of this thesis is to develop and test a dynamic model of a refuelling basket also known as refuelling drogue.
Thereafter, the procedure of air to air refuelling with hose and basket system has been analysed. As a result it has been possible to explain from a physical point of view the forces acting on the basket which cause its random motion.
Subsequently, as a first approach, the modelling of the physics of such as non-trivial problem trying to establish proper simplified assumptions has been considered. This has been necessary because of the large amount of unknowns and the poor quantity of literature. The only available data are given by flight videos recorded during refuelling procedures from which it has been possible only to measure the motion of the basket through a video processing analysis.
The dynamics of the basket has thus been reduced to the motion of a mass around an initial starting condition of stable equilibrium, affected by the variation of the aerodynamic forces due to gusts, the velocity field variation due to an incoming receiving aircraft and the constraint reactions given by a damper and a spring in the three directions of motion.
In order to describe the gust influence a continuous gust model has been implemented. The hypothesis of inviscid flow has been exploited to define the velocity field variation around the basket. This variation is due to the presence of the tanker and the receiving aircraft.
Once the dynamics has been implemented in a simulation environment, the parameters of the simulation through the usage of the elaborated data have been properly tuned.
Despite the simplifications made to develop the entire model, the results of the simulation give a realistic motion of the basket with same frequency and magnitude of the oscillations recorded in flight videos.