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Extending the Model

Modeling the airframe and guidance loop in a single plane is only the start of the design process. Extending the model to a full six-degrees-of-freedom representation requires the implementation of the full equations of motion for a rigid body.

Six-degrees-of-freedom can be represented using quaternion or Euler Angles. The quaternion implementation uses a quaternion to represent the angular orientation of the body in space. The quaternion is appropriate when the standard Euler angle definitions become singular as the pitch attitude tends to ±90 degrees. The Euler angle implementation uses the standard Euler angle equations of motion. Euler angles are appropriate when obtaining trim conditions and modeling linear airframes. This model contains one of the six-degrees-of-freedom equations of motion blocks:


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