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In this video we develop a dynamic model of an aircraft by describing forces and moments generated by aerodynamic, propulsion, and gravity that act on the aircraft. This video outlines the analytical models/equations used as well as provides some discussion on the features and phenomenon that are captured in the RCAM model. A separate video discusses how to implement this in Matlab/Simulink. This model is based on the Research Civil Aircraft Model (RCAM) documented in the following reference: -Group for Aeronautical Research and Technology in Europe, "Robust Flight Control Design Challenge Problem Formulation and Manual: the Research Civil Aircraft Model (RCAM)", GARTEUR/TP-0883. February 17, 1997 (https://garteur.org) (an older version of the document is located at https://garteur.org/wp-content/report...) Topics and timestamps: 0:00 – Introduction to the RCAM model 6:48 – Step 1: Control limits/saturation 11:22 – Step 2: Intermediate variables 23:14 – Step 3: Nondimensional aerodynamic force coefficients in Fs 1:00:24 – Step 4: Aerodynamic force in Fb 1:03:31 – Step 5: Nondimensional aerodynamic moment coefficients about AC in Fb 1:14:12 – Step 6: Aerodynamic moment about AC in Fb 1:16:21 – Step 7: Aerodynamic moment about CG in Fb 1:22:41 – Step 8: Propulsion effects 1:31:08 – Step 9: Gravity effects 1:36:15 – Step 10: Explicit first order form Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... Errata/Corrections 38:45 – This is improperly written as +11.5 deg, it should be -11.5 deg 1:08:36 – There should be a term cbar/Va multiplying the entire matrix All Flight Mechanics videos in a single playlist ( • Flight Mechanics ) #FlightMechanics You can support this channel via Patreon at / christopherwlum or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!