thoroughbred
12-18-2001, 07:33 PM
I have been reading various posts where an analysis is done that depends on comparing the times of horses at various locations in a race. Turn time is one example.
I have some comments to make about the accuracy of time calculations in general..
Pont No. 1: When horses are racing around a turn, the extra distance that a horse must run depends on how far from the rail the horse is. If we assume that there is about 3 feet between each "lane" as we go from the rail horse out toward the center of the track, then the extra distance that a horse must race in going around the turn is about one length per "lane" position. Under these conditions the actual numbers are:
Position from Rail Horse Extra distance in lengths
1 0.94
2 1.88
3 2.83
4 3.77
5 4.71
If we approcimate a length to be 0.2 seconds, then, for example, a horse that is 3 positions out from the rail lhorse will add: 2.83 x 0.2 = 0.57 seconds to his time compared to the rail horse. All other positions wide of the rail will have similarly different numbers.
These values are large enough that ignoring them will make any calculation, where time differences are important, extremely inaccurate. If turn time, for example is calculated where there is a portion of a turn, then a large error in the calculation can occur.
Note: These numbers remain exactly the same, regardless of the radius of the turn "circle."
Am I wrong in thinking that this important factor is not usually taken into account?
Point 2: Even the approximation of 0.2 seconds per length is not accurate. We all know that horses, with rare exception, slow down as the race proceeds. So one length represents a longer time later on in the race than at the beginning. And, each horse has a different velocity profile. So unless we know the speed of the horse at exactly the point where we are trying to adjust time by lengths behind, this will introduce another inaccuracy.
The size of the inaccuracies, it seems to me, can swamp out the results of the calculations making many of those efforts a futile exercise.
Comments please.
I have some comments to make about the accuracy of time calculations in general..
Pont No. 1: When horses are racing around a turn, the extra distance that a horse must run depends on how far from the rail the horse is. If we assume that there is about 3 feet between each "lane" as we go from the rail horse out toward the center of the track, then the extra distance that a horse must race in going around the turn is about one length per "lane" position. Under these conditions the actual numbers are:
Position from Rail Horse Extra distance in lengths
1 0.94
2 1.88
3 2.83
4 3.77
5 4.71
If we approcimate a length to be 0.2 seconds, then, for example, a horse that is 3 positions out from the rail lhorse will add: 2.83 x 0.2 = 0.57 seconds to his time compared to the rail horse. All other positions wide of the rail will have similarly different numbers.
These values are large enough that ignoring them will make any calculation, where time differences are important, extremely inaccurate. If turn time, for example is calculated where there is a portion of a turn, then a large error in the calculation can occur.
Note: These numbers remain exactly the same, regardless of the radius of the turn "circle."
Am I wrong in thinking that this important factor is not usually taken into account?
Point 2: Even the approximation of 0.2 seconds per length is not accurate. We all know that horses, with rare exception, slow down as the race proceeds. So one length represents a longer time later on in the race than at the beginning. And, each horse has a different velocity profile. So unless we know the speed of the horse at exactly the point where we are trying to adjust time by lengths behind, this will introduce another inaccuracy.
The size of the inaccuracies, it seems to me, can swamp out the results of the calculations making many of those efforts a futile exercise.
Comments please.