- #1
abercrombiems02
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For any of you advanced dynamics people, can you please show me a derivation of the BKE. (Basic Kinematic Equation)
The BKE is...
e d/dt(Vector) = u d/dt(Vector) + omega between e and u X (Vector)
sometimes an additional term is added which is the linear velocity between the frames but for some simplicity let's assume this is zero.
e is the inertial frame
and u is the working frame
omega is the angular velocity
X is the cross product operator
I know just by looking at a simple single rotation problem, the solution is trivial but does anyone know of a formal proof?
The BKE is...
e d/dt(Vector) = u d/dt(Vector) + omega between e and u X (Vector)
sometimes an additional term is added which is the linear velocity between the frames but for some simplicity let's assume this is zero.
e is the inertial frame
and u is the working frame
omega is the angular velocity
X is the cross product operator
I know just by looking at a simple single rotation problem, the solution is trivial but does anyone know of a formal proof?