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The American Institute of Aeronautics and Astronautics (AIAA)

is the world's largest technical society dedicated to the global aerospace profession.

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    Course Outline

    Modeling Flight Dynamics with Tensors 

     

     

    Course Outline:


    I. Mathematical Modeling in Flight Dynamics
    A. Axioms of classical mechanics

     
    II. Tensor Algebra
    A. Tensor elements
    B. Tensor products and special tensors

     
    III. Reference Frames and Coordinate Systems
    A. Heliocentric, inertial, Earth, body frames
    B. Deriving coordinate transformations

     
    IV. Rotation Tensor
    A. Axis and angle of rotation
    B. Small rotations

     
    V. Kinematics
    A. Tensor concept of rotational time derivative
    B. Linear velocities an angular velocities

     

    VI. Translational Equations of Motion
    A. Newton’s second law

     
    VII. Angular Momentum
    A. Euler’s transformation between referenced frames

     
    VIII. Attitude Equations of Motion of Motion
    A. Euler’s law

     
    IX. Gyrodynamics
    A. Poinsot motions

     
    X. Theory of Perturbations
    A. Equations of motion for steady flight
    B. Equations of motion for unsteady flight


    XI. Aerodynamic Derivatives
    A. Linear and non-linear coefficients

     
    XII. Linear Equations of Motions
    A. Perturbation equations of aircraft in pull-up
    B. Perturbation equations of agile air-to-air missile