Yeadon, Fred
The simulation of aerial movementâ€”III. The determination of the angular momentum of the human body
A method is presented for determining the angular momentum of the human body about its mass
centre for general threeâ€“dimensional movements. The body is modelled as an 11 segment link system
with 17 rotational degrees of freedom and the angular momentum of the body is derived as a sum of 12
terms, each of which is a vector function of just one angular velocity. This partitioning of the angular
momentum vector gives the contribution due to the relative segmental movement at each joint rather
than the usual contribution of each segment. A method of normalizing the angular momentum is
introduced to enable the comparison of rotational movements which have different flight times and
are performed by athletes with differing inertia parameters. Angular momentum estimates were
calculated during the flight phases of nine twisting somersaults performed on trampoline. Errors in
film digitization made large contributions to the angular momentum error estimates. For individual
angular momentum estimates the relative error is estimated to be about 10% whereas for mean
angular momentum estimates the relative error is estimated to be about 1%.
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2009-09-14
https://repository.lboro.ac.uk/articles/The_simulation_of_aerial_movement_III_The_determination_of_the_angular_momentum_of_the_human_body/9626342