The article presents the steps of modeling of the dynamics of a levitating cart of an unmanned
aerial vehicle (UAV) magnetic catapult. The presented in the article innovative catapult
is based on the Meissner effect occurring between high-temperature superconductors (HTS)
and a magnetic field source. The catapult suspension system consists of two elements: fixed
to the ground base with magnetic rails and a moving cart. Generating magnetic field
rails are made of neodymium magnets. Levitation of the launcher cart is caused by sixteen
superconductors YBCO, placed in the cart frame supports. Described in the article model
contains the system of Cartesian reference frames, kinematic constrains, equations of motion
and description of forces acting on the cart as well as exemplary numerical simulation
results.
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