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This notebook is a continuation of representing orientation of the vehicle based on its Body Frame.

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AAE_Notebook_004_Quaternions

This notebook is a continuation of representing orientation of the vehicle based on its Body Frame.

quaternions

As seen in the Euler Angle notebook, a vehicles orientation within the Local Frame can be given by the orientation of the Body Frame. Though, unlike with computationally expensive Rotation Matrices, a single Quaternion accomplishes the same thing, mathematically, as a series of rotation matrix multiplication in a more compact form.

quaternions

Using Quaternions, we can still represent vehicle orientation and changes thereof:

orientationchange

Not only can we convert between Quaternions and Rotation Matrices...

quattorot

... But, we can also convert Quaternions to Euler Angles

conversion

And even multiply Quaternions together:

multiplyingquats

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This notebook is a continuation of representing orientation of the vehicle based on its Body Frame.

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