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* (model, vector or tensor) expressed in arbitrary reference frame A (Inertial (I), central body (B) and abdominal (T) reference frames in text) |
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A
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Arbitrary Rigid body A (Central body (B), abdomen (T) or whole aircraft (C) in text) |
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The rotation matrix from reference frame A to B |
| b, t, j, c |
Locations of the centre of mass of the central body, tail, tail joint and whole aircraft, respectively |
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Displacement, skew-symmetric matrix of displacement of point a relative to point b (m) |
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Velocity of point A relative to point B () |
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Mass of rigid body , total mass of the aircraft, respectively () |
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Inertia tensor of rigid body A about point a () |
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Angular velocity, skew symmetric matrix of angular velocity of frame A relative to frame B, respectively () |
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F
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External force vector (N) |
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M
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External moment vector (N m) |
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Superscripts
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First-order time derivative |
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Second-order time derivative |