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Navigation Functionalities for an Autonomous UAV Helicopter

Navigation Functionalities for an Autonomous UAV Helicopter

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3.3. REFERENCE FRAMES 17<br />

3.3 Reference frames<br />

This section provides <strong>an</strong> overview of the different reference frames used in<br />

this thesis.<br />

The Earth frame (Fig. 3.3) has its origin at the center of mass of the<br />

Earth <strong>an</strong>d axes which are fixed with respect to the Earth. Its Xe axis<br />

points toward the me<strong>an</strong> meridi<strong>an</strong> of Greenwich, the Ze axis is parallel to<br />

the me<strong>an</strong> spin axis of the Earth, <strong>an</strong>d the Ye axis completes a right-h<strong>an</strong>ded<br />

orthogonal frame.<br />

The navigation frame (Fig. 3.3) is a local geodetic frame which has<br />

its origin coinciding with that of the sensor frame <strong>an</strong>d axes with the Xn<br />

axis pointing toward the geodetic north, the Zn axis orthogonal to the reference<br />

ellipsoid pointing down, <strong>an</strong>d the Yn axis completing a right-h<strong>an</strong>ded<br />

orthogonal frame.<br />

Figure 3.3: Earth <strong>an</strong>d navigation frames.<br />

The body frame (Fig. 3.4) is <strong>an</strong> orthogonal axis set which has its origin<br />

coinciding with the center of gravity of the helicopter, the Xb axis pointing<br />

<strong>for</strong>ward to the nose, the y-axis orthogonal to the Yb axis <strong>an</strong>d pointing to<br />

the right side of the helicopter body, <strong>an</strong>d the Zb axis pointing down so that

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