Fig. 1. Location of markers and explanation of the GRF distribution method.
Retroreflective markers (small circles) were placed bilaterally on the skin
overlying bony landmarks of the forelimb (tuber of spina scapulae, greater
tubercle of humerus, a point midway between the two, lateral epicondyle of
humerus, carpal joint, fetlock joint, lateral side of the hoof at the level of
the coffin joint), hindlimb (tuber coxae, greater trochanter of femur, lateral
epicondyle of femur, tarsal joint, fetlock joint, lateral side of the hoof at
the level of the coffin joint), and on the head and neck (crista facialis,
zygomatic arc, wing of atlas, transverse process of vertebra C7). Furthermore,
spherical markers were placed on the trunk (spinous processes of vertebrae T6,
T10, T13, T17, L1, L3, L5, S3, S5 and C2). Left limbs are indicated with
dotted lines, markers on hoofs in contact with the ground have been filled.
The GRF distribution method involved the following steps. The acceleration of
the centre of mass (CM) of the horse was calculated from the marker
positiontime histories using a segmental model. The acceleration of CM,
combined with the acceleration due to gravity, provided the magnitude and
direction of the calculated total ground reaction force vector
FR,total. The product of the ground reaction force and its
moment arm relative to CM (aR) equals the rate of change
of angular momentum. The latter was also calculated from marker
positiontime histories, so aR could be calculated.
This then fully defined the line of action of the calculated
FR,total, and therewith the point P where it passed
between the hoofs of the limbs in contact with the ground. When only one
forelimb and one hindlimb were in contact with the ground, the relative
contribution of the forelimb to the calculated FR,total
was taken to be equal to
ah/(af+ah) and
that of the hindlimb was taken to be equal to
af/(af+ah). The
situation shown in the diagram occurred at the instant that the vertical
component of FR,total (FRy,total)
reached its peak at trot (for illustrative purposes a trial was selected in
which the angular momentum and horizontal component of
FR,total were exceptionally large at the instant that
FRy,total attained its peak).