# Documentation

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# Incidence, Sideslip & Airspeed

Calculate incidence, sideslip, and airspeed

## Library

Flight Parameters

## Description

The Incidence, Sideslip & Airspeed block supports the 6DoF (Euler Angles) and 6DoF (Quaternion) models by calculating the angles between the velocity vector and the body, and also the total airspeed from the velocity components in the body-fixed coordinate frame.

`$\alpha =a\mathrm{tan}\left(\frac{w}{u}\right)$`
`$\beta =a\mathrm{sin}\left(\frac{v}{V}\right)$`
`$V=\sqrt{{u}^{2}+{v}^{2}+{w}^{2}}$`
``` ```

## Inputs and Outputs

InputDimension TypeDescription

First

Three-element vector Contains the velocity of the body resolved into the body-fixed coordinate frame.

OutputDimension TypeDescription

First

Contains the incidence angle in radians.

Second

Contains the sideslip angle in radians.

Third

Contains the airspeed of the body.

## Examples

See Airframe in the `aeroblk_HL20` model for an example of this block.