# 6DOF

Implement six-degrees-of-freedom equations of motion
in simulations, using Euler angles and quaternion representations

Model and simulate point mass and six-degrees-of-freedom dynamics of fixed or variable mass atmospheric flight vehicles. Define representations of the equations of motion in body, wind, and Earth-centered, Earth-fixed (ECEF) coordinate systems. Transform between coordinate systems and perform unit conversions to ensure model consistency.

## Blocks

6DOF (Euler Angles) | Implement Euler angle representation of six-degrees-of-freedom equations of motion |

6DOF (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion with respect to body axes |

6DOF ECEF (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion in Earth-centered Earth-fixed (ECEF) coordinates |

6DOF Wind (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion with respect to wind axes |

6DOF Wind (Wind Angles) | Implement wind angle representation of six-degrees-of-freedom equations of motion |

Custom Variable Mass 6DOF (Euler Angles) | Implement Euler angle representation of six-degrees-of-freedom equations of motion of custom variable mass |

Custom Variable Mass 6DOF (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion of custom variable mass with respect to body axes |

Custom Variable Mass 6DOF ECEF (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion of custom variable mass in Earth-centered Earth-fixed (ECEF) coordinates |

Custom Variable Mass 6DOF Wind (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion of custom variable mass with respect to wind axes |

Custom Variable Mass 6DOF Wind (Wind Angles) | Implement wind angle representation of six-degrees-of-freedom equations of motion of custom variable mass |

Simple Variable Mass 6DOF (Euler Angles) | Implement Euler angle representation of six-degrees-of-freedom equations of motion of simple variable mass |

Simple Variable Mass 6DOF (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion of simple variable mass with respect to body axes |

Simple Variable Mass 6DOF ECEF (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion of simple variable mass in Earth-centered Earth-fixed (ECEF) coordinates |

Simple Variable Mass 6DOF Wind (Quaternion) | Implement quaternion representation of six-degrees-of-freedom equations of motion of simple variable mass with respect to wind axes |

Simple Variable Mass 6DOF Wind (Wind Angles) | Implement wind angle representation of six-degrees-of-freedom equations of motion of simple variable mass |

## Topics

**About Aerospace Coordinate Systems**Define coordinate systems to represent aircraft and spacecraft motion.