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. 2025 Jan 2;10(1):22. doi: 10.3390/biomimetics10010022
[*]A * (model, vector or tensor) expressed in arbitrary reference frame A (Inertial (I), central body (B) and abdominal (T) reference frames in text)
A Arbitrary Rigid body A (Central body (B), abdomen (T) or whole aircraft (C) in text)
[R]BA 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
sab,Sab Displacement, skew-symmetric matrix of displacement of point a relative to point b (m)
VAB Velocity of point A relative to point B (m/s)
mA,m Mass of rigid body A, total mass of the aircraft, respectively (kg)
IaA Inertia tensor of rigid body A about point a (kg m2)
ωAB,ΩAB Angular velocity, skew symmetric matrix of angular velocity of frame A relative to frame B, respectively (rad/s)
F External force vector (N)
M External moment vector (N m)
Superscripts
˙ First-order time derivative
¨ Second-order time derivative