Flight Mechanics and Control

  1. Coordinate Systems and Transformations
    1. Reference Frame Definitions
      1. Inertial Reference Frame
        1. Earth-Centered Inertial Frame
          1. Local Level Frame
          2. Earth-Fixed Frame
            1. Geographic Coordinate System
              1. Local Tangent Plane
                1. Geodetic Coordinates
                2. Aircraft-Fixed Frames
                  1. Body-Fixed Coordinate System
                    1. Stability-Axis System
                      1. Wind-Axis System
                        1. Principal Axis System
                      2. Angular Orientation Description
                        1. Euler Angle Sequences
                          1. Roll Angle Definition
                            1. Pitch Angle Definition
                              1. Yaw Angle Definition
                                1. Rotation Sequence Importance
                                  1. Gimbal Lock Issues
                                  2. Direction Cosine Matrices
                                    1. Rotation Matrix Properties
                                      1. Transformation Sequences
                                        1. Matrix Multiplication Rules
                                        2. Quaternion Representation
                                          1. Quaternion Advantages
                                            1. Quaternion Operations
                                              1. Singularity Avoidance
                                            2. Coordinate Transformations
                                              1. Body to Wind Axis Transformation
                                                1. Angle of Attack Effects
                                                  1. Sideslip Angle Effects
                                                  2. Wind to Stability Axis Transformation
                                                    1. Bank Angle Considerations
                                                    2. Velocity Transformations
                                                      1. Airspeed Components
                                                        1. Ground Speed Components
                                                        2. Force and Moment Transformations
                                                          1. Force Resolution
                                                            1. Moment Transfer

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                                                        2. Aerodynamic Forces and Moments

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                                                        4. Aircraft Performance Analysis