Aerospace Dynamic Systems Modeling
- Course Objectives, Useful References, Topics and Schedules, History and Applications of Dynamics, Basic Concepts, Introduction to Modeling of Flight Dynamics
- Mathematical Concepts in Modeling, Elements of Classical Mechanics, Coordinate Systems, Cartesian Tensors, Tensor Algebra
- Scalar Product, Vector Product, Dyadic Product, Modeling of Geometry, Straight Line, Plane, Plane Projection Tensor, Projection Tensor
- Frames, Reference Frames, Coordinate Systems, Coordinate Transformation Matrix
- Coordinate Systems and Their Transformations
- Rotation Tensor, Properties of Rotation Tensor, Special Rotations, Axis and Angle of Rotation, Small Rotations
- Kinematics of Changing Times, Rotational Time Derivative, Linear Velocity and Acceleration, Angular Velocity, Euler Transformation, Properties of angular velocities, Attitude determination, Rotation Tensor Differential Equations
- Euler Angle Differential Equations, Quaternion Differential Equations, Midterm Exam
- Translational Dynamics, Linear Momentum, Newtonian Dynamics, Newtons Second Law, Coriolis Transformation, Grubin Transformation
- Simulation Implementation, Three-Degrees-of-Freedom Simulations, Five-Degrees-of-Freedom Simulations, Six-Degrees-of-Freedom Simulations, Attitude Dynamics, Inertia Tensor, Inertia Ellipsoid
- Angular Momentum, Eulers Law, Free Flight
- Noninertial Reference Frame, TOP, Clustered Bodies, Gyrodynamics
- Kinetic Energy, Integrals of Motion, Perturbation Equations, Perturbation Techniques, Linear and Angular Momentum Equations, Steady Reference Flight
- Unsteady Reference Flight, Aerodynamic Forces and Moments, Aerodynamic Symmetry of Aircraft and Missiles, Derivative Maps, Perturbation Equations of Steady Flight
- Flight-Path-Angle State Equations, Perturbation Equations of Unsteady Flight, Perturbation Equations of Agile Missile