<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
<head>
  <title>Secretariat Talk</title>
  <!-- Meta Information -->
  <meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
  <!-- Site Feed Autodiscovery-->
  <link href="http://mail.truevine.net/blogs/secblog/rss.xml" rel="alternate" type="application/rss+xml" title="Secretariat Talk" >
  <link rel="stylesheet" href="blog.css" type="text/css">
</head>
<style>
.post img {
  margin:0 0 5px 0;
  padding:4px;
  border:1px solid #586;
  }
</style>
<body onload="window.focus()"  id="body" >
<!-- Begin #content - center all content and provide edges for floated columns -->
<div id="content">

<!-- Blog Header -->
<div id="header"><div>
  <h1 id="blog-title">
         <img src="http://mail.truevine.net/users/sec@truevine.net/Pictures/">
      Secretariat Talk
  </h1>
  <p id="description">Much has been said and written about the horse Secretariat. Much discussion has taken place regarding his legacy, what he did for racing. This continues here. Go to main paper: copy and paste  'http://www.truevine.net/~sec@truevine.net/Legends/'

<!-- Back to template.htm -->
</p>
</div></div>

<!-- Begin #main -  main column blog content -->
<div id="main"><div id="main2"><div id="main3">

   <!-- This following section will be repeated for each post -->
     
   
     <h2 class="date-header">Friday, 11 May 2012</h2>
      
   <div class="post"><a name=7></a>
    <h3 class="post-title">Did Secretariat Win By 31?</h3>
    <div class="post-body">
      <p><div style="text-align: center;">IT WAS CHIC ANDERSON'S CALL<br></div><br><br>Chick Anderson called the Belmont finish this way: "Here comes Secretariat to the wire .........., he hits the finish......25 lengths in front....". We are left with a call that in the aftermath of the race was largely forgotten. With the astonishment at the finishing time and the with the zeal at the call of what was to become the official margin of victory, Anderson's initial calculation faded. Anderson himself in summarizing the race concluded that estimating large victory margins is a difficult task, "it could conceivable have been larger [than 25]". Was Anderson, an experienced announcer, close to the truth? How was the official margin determined? Are there ways of probing the distance, of corroborating the official mark? Lets try. <br><br>On examining Secretariat's Belmont in slow motion using video equipment with a built-in timer calibrated at 30 frames per second, 6 frames per fifth, the following observations were recorded:<br><br>- Secretariat ran the Belmont in 2 minutes and 24 seconds as second place Twice A Prince (TAP) ran it in 2 minutes, 28.2 seconds;<br><br>- Secretariat ran the final quarter in 25 seconds as Twice A Prince completed it in 26.2;<br><br>- Secretariat clipped the wire at a rate near 52 feet per second (fps) while Twice-A-Prince in successfully winning the duel for second also clipped the finish at a speed near 52 fps;<br><br>(Please note that all VHS decimal times are expressed in fifths.)<br><br>Scenario 1<br>We will begin our examination with the third bullet, both win and place clipping the wire at about 52 fps. These figures were obtained using VHS technology equipped with a timer, the footage viewed in slow motion investigating multiple trials using differing feeds with varying visual qualities before settling on the speeds. The probe continues:<br><br>Using 52 fps as the measure, dividing this by 5 gives the feet covered in fifths per second, or 10.4 ft per fifth . Dividing this by 8 ft, the standard measure for a length, gives 1.3 lengths per fifth. This 1.3 applies to both Secretariat and Twice A Prince since they were both traveling at about the same speed at the finish. From the first bullet, given that Place finished 4.2 seconds behind Secretariat, expressing 4.2 in fifths gives 21. This figure multiplied by 1.3 gives 27.3, or the difference in lengths between First and Place. Accordingly, Secretariat finished approx. <span style="font-weight: bold;">27</span> lengths in front of Twice A Prince;<br><br>Scenario 2<br>Approaching the inquiry from a different angle, using data from the second bullet, we derive an average speed for Place on through the final quarter. Twice a Prince running the final quarter in 26.2 seconds gives an average speed in fps of 50.4. Dividing this by 5 gives 10.08 ft per fifth of a second. This figure divided by 8 gives 1.26, the average length the horse is traveling every fifth of a second down the stretch. The time elapsed between Secretariat's finishing time and that of TAP is 4.2 seconds or 21 fifths. The product of 21 and 1.26 is 26.46, the deficit in lengths TAP traveled in the wake of Secretariat's performance. This demonstrates that the slower the horse is moving, the closer it has to be to Secretariat in order to travel the final distance in 21 fifths. In this scenario, Secretariat's margin of victory is approx. <span style="font-weight: bold;">26.5</span> lengths;<br><br>These figures found proximate corroboration with a few independent on-line pieces, one found at http://www.horseracegame.com/community/content/blogs/stretchrun/27-05-2009/did-secretariat-really-win-belmont-stakes-31-lengths-sorry-we-do , entitled "Did Secretariat Really Win the Belmont Stakes by 31 Lengths? Sorry, We Don't Think So." In that analysis, the writer(s) estimated a 25 length victory. A second piece estimated the margin at under 25.<br><br>Some may say that the mark that matters is the margin established when the winner's nose clips the wire, not the time elapsed between this and when Place finishes. In response, the following image is telling: (double click image to view)<br><br><a href="a_7_Cog_Color_Stretch_HR.jpg"><img style="width: 98px; height: 33px;" src="tn_a_7_Cog_Color_Stretch_HR.jpg"></a><br><br>Scenario 3<br>This image taken from Secretariat.com displays Secretariat in the stretch inside the final 16th, an observation verified using various VHS resources. Using the same resources, it was found that the number of rail studs between the 16 poles is 41. Dividing the distance of a 16th, 330 ft, by this figure gives 8.05, the measure of a length. These studs can serve as a measuring instrument in estimating the margin of victory. It can be seen here that TAP and My Gallant are in heated competition just past the final 16 pole while Ron Turcotte looks towards the teletimer, perhaps in surprise at the fractions his colt is setting. Counting the rail studs between First and Place sums to an apparent 23. At this point, Secretariat's distance to the 16 pole in studs is 26.&nbsp; Subtracting 26 from 41, the stud count between the poles, gives 15. The product of 15 and 8.05 gives 120.75, the distance in feet from Secretariat to the finish.&nbsp; Using the average speeds for the final quarter derived from the second bullet, Secretariat, traveling at an average of 53fps will traverse this distance in about 2.3 seconds. If his counterparts are traveling at an average 50.4 fps., then Secretariat's velocity is about 2.6 fps faster. This figure, 2.6, multiplied by 2.3 seconds gives 5.9 ft or .74 of a length. At this rate, Secretariat will at most increase his distance over his nearest rival by about 3/4s of a length to the finish. Adding 3/4s of a length to 23 rounds to 24, so it is evident that Secretariat did not win by 31. A range starting at <span style="font-weight: bold;">24</span> with a ceiling at not more than <span style="font-weight: bold;">27</span> can be established. I believe Chic Anderson is vindicated, ......posthumously vindicated*. <br><br>This scenario, however, reveals discrepancies with the other two. A proper counting of the studs and thus the lengths from Secretariat to TAP sums to about 23. We count the misplaced studs as if they were placed in their proper position. If the time elapsed between Secretariat's finishing time and TAP's clip to the wire is in fact 4.2 seconds (and it is), then TAP's (and My Gallants) closing velocity would be a much slower <span style="font-weight: bold;">46</span> fps, and not the higher speeds derived above. To close the final distance of 24 lengths (approx. 193 ft ) in 4.2 seconds suggests momentum at Place and Show would have rapidly decayed in the final yards of the race. I don't believe this is accurate. On reviewing Belmont footage, TAP's final furlong time at 13.2 seconds, or 50 fps, was verified. This figure is less than the quarter average of 50.4 quoted above, but not significantly. Either the image above is not the final 16th (it is in fact the final 16th) or rail studs between Winner and Place are missing. Using ESPN Classics video footage, a good quality feed of all the horses passing the <span style="font-weight: bold;">3/16</span> pole on into the final eighth was found; at that point, again carefully counting studs placed Place approximately 23 to 24 lengths behind the leader. If that distance was 24, then the rate differential between Secretariat's and TAP's quarterly averages should have added close to 4 lengths through the final sixteenths, thus Secretariat leading by approximately 28 at the finish. If 23 is accurate, then Secretariat's final margin would have been closer to 27. This latter mark more closely coincides with the derivations in the first 2 scenarios. Presently, the discrepancies between the third scenario and the other two cannot be accounted for. A full range graphic of the final 16th would help resolve these questions. <br><br>So how was the official margin of victory established?&nbsp; That has never been found. Some years back I contacted Belmont Park with this question, and never received a reply. The judges that day came up with the figure 31, but who were they? Are some of them still living today?<br><br>This leaves a few more questions: was Count Fleet's margin of victory really 25? What type of technology was used in 1943 to make that determination? Also, a quick highlight from Dorothy Our's 2006 work on Man O' War: in a footnote she addressed his 100 length victory in the 1920 Lawrence Realization and surmised that his actual margin of victory was probably just under 90 lengths (a furlong plus about 6 lengths which is equivalent to 88.5 lengths). Large margins are very difficult to establish. <br><br>This piece does not detract from Secretariat's finishing time which was the true marvel of the day; in fact it may prove to be a marvel for centuries to come (see my blog on Singularities).<br><br>*&nbsp; Chic Anderson went to our Maker in March of 1979. He called America's last 3 Triple Crown winners.<br>**note: Secretariat, on average, opened at least 1 length for every 16th ran that day.<br><br><br><a href="a_7_Cog_Color_Stretch_HR.jpg"></a>
</p>
    </div>
    <a name=comments> </a>
    <!--- run through the comments without displaying them to get count of comments  but save vars first --->
     
   	    <p class="post-footer">
      <em>Russ @ 18:57 PM</em>
        		  			<a href="/cgi/user.cgi?urlname=secblog&inreplyto=7&cmd_blog_comment=Comment" class="comment-link">Add Comment</a>
		  		    </p>

	 <!--- ie want them inline --->
	  	  </div>
     
   
     <h2 class="date-header">Saturday, 25 February 2012</h2>
      
   <div class="post"><a name=6></a>
    <h3 class="post-title">Secretariat ManOWar II</h3>
    <div class="post-body">
      <p><p style="margin-bottom: 0in">Secretariat , ManOWar, and Citation
bring the best and worst out of us. There simply is no way to know
with factual certainty which was finally the better. All the poles of
so called experts are built on speculation, opinion, and fixed
memories of particular performances that left impressions on
observers. State culture plays a role as well, for instance, the
adulation of ManOWar in Kentucky in distinction to that of
Secretariat in New York. Contrast this to the following of Citation
in California. Kentucky Horse Park (KHP)is a monument to ManOWar just
as Belmont Park is the same to Secretariat. In a similar way the
Blood-Horse publication out of Kentucky competes with the New York's
Daily Racing Form (DRF) for communities.  All are influenced by the
cultures from which they arise. The old timers referenced in one list
could easily be countered by a list of old timers in another. Fixed
allegiances  are difficult to break. For every Sylvester Veitch is a
Holly Hughs, both Hall-of-Fame trainers who 'saw them all', yet both
with differing opinions as to what they saw. For every Ed Bowen,
writer and editor for Blood-Horse, is a Joe Hirsch, the late writer
and chief-editor for the DRF, both of high distinction yet with
differing opinions when it came to 'the best'. For every Phil
Georgeff or Tommy Trotter, etc, can be found an Allen Jerkins,
Hall-of-Fame (HOF) trainer,  or an Eddie Arcaro, HOF jockey, who both
had  experiences and judgments countervailing the former. Add Charles
Hatton (who 'saw them all'), Andy Beyer, handicapper and
co-developer of the respected Beyer Figures, Steve Davidowitz, Teddy Cox, Mike Casale, Tim Capps, and others to
that list. And finally, the Blood-Horse panel of seven which found
both Secretariat and ManOWar tied for first, both receiving 3 votes,
but differing by one at place giving ManOWar the edge. Hardly a
consensus, especially when considering that <span style="background: transparent">one
member placed Secretariat outside the top 10 (14</span><sup><span style="background: transparent">th</span></sup><span style="background: transparent">),
a determination whose judgment on a Thoroughbred that as a three
year old  set or equaled 6 track records, two of which were world
marks, and was a mere 1/5th off of two more, both on hand rides and one in the mud; completed the Triple Crown in record time; in two seasons set or broke 8 top graded stakes records (7 in one season), five of which have never been broken; and set at least one record at all 6 distances ran between and including 8 to 12 furlongs (8, 8.5, 9, 9.5, 10, 12); should have been questioned and
possibly discarded as an outlier.</span> One can only guess at the
employed criteria. Nevertheless, this panel brought into contention
the earlier AP panels that decidedly awarded ManOWar the trophy
with little discussion. 
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in">A question concerns the listing itself.
How does one interpret it? Is the second place horse a nose off the
first, a head, a half-length, a length or more? A pound lighter, 2
pounds  or more? Is the horse in the last spot 100 lengths off the
first, or 100 pounds lighter? Or does the list rank an overall career
impression, both on and off the track? An overall contribution to the
sport? If the former, then Timeform in 1999 asked the same questions
and derived rankings based on computer models and imposts . If the
latter, then it is difficult to say whether on the track horse 'x' is
the better of the rest. Was Exterminator really ten places better
than Sir Barton when in fact Barton defeated the former giving
weight? Or were other factors given weight in giving Exterminator the
edge?</p>
<p style="margin-bottom: 0in"> 
</p>
<p style="margin-bottom: 0in;"><br></p><p style="margin-bottom: 0in">This takes us to those commentators who
assert that ManOWar faced competition on par with the runners of
1973. This is not correct. Taking a quote from 'A Century of
Champions', <span style="background: transparent">a work by </span>Randall
and Morris who in 1999 transformed data compiled by Timeform modeling
into book form, this text said in regard to ManOWar:"A more
rational appraisal, in light of the undoubted increase in
competitiveness of Stateside racing since his day,  must place 'the
horse' (ManOWar) on a slightly lower pedestal, but there remains no
doubt of his greatness". This statement corroborates my work
(<a href="http://www.truevine.net/%7Esec@truevine.net/Legends/">www.truevine.net/~sec@truevine.net/Legends/</a>)
completed some years ago that found similar conclusions. In that work
I found that the average finishing times of Kentucky Derby winners
decreased by as much as 4 seconds between 1920 and 1973. Of those 4
seconds, 2 could be attributed to the horse alone, the remainder to
all other factors, improved track surfaces, lighter equipment,
training, etc.... The improved specimens can be traced not only to
better nutrition but to influential blood lines imported into the
states from Europe, lines which included but are not limited to the
potent sires <span style="background: transparent">Bull Dog </span>and
Nasrullah (traceable to Nearco and Phalaris), and the highly
influential broodmare sire  Princiquillo. <span style="background: transparent">According
to Randall and Morris American horses achieved parity with their
European counterparts in the 1960s and forged ahead in the 70s in
their golden age of racing. </span>
</p>
<p style="margin-bottom: 0in"> 
</p>
<p style="margin-bottom: 0in;"><br></p><p style="margin-bottom: 0in">The ease with which ManOWar dominated
his fields cloaks the real miracle, the fact that this specimen that
was generations ahead of his time came from a crop of only 1600, plus
or minus a few. What are the odds that such a specimen would emerge
from such a<span style="background: transparent"> small crop?</span>
By way of his sire Fair Play, ManOWar introduced into the American
stock a speed line that would strongly influence several decades. By
way of his Dam Mahubah, ManOWar
possessed a stamina he would pass to his daughters that they
in turn would pass to their progeny well into the future. So the
mixture of speed with stamina became central to the industry. As a
sire, the horse all but singlehandedly improved an American stock
that was well behind European standards; and it is true that at his
time, ManOWar's competition was good yet modest, not only to him, but
to future generations. ManOWar will have had far stiffer competition
in the 1970s than in the 1920s had roles been reversed, and  this
despite better nutrition, tracks,and equipment. Some declared Sir
Barton the better to Riva Ridge (RR), an observation taken from the
Blood-Horse panel ranking which placed the former 9 places better. My
work contradicted this. Using Regression Modeling to compare Riva
Ridge's Kentucky Derby, a descendent of ManOWar, to Sir Barton's
Derby performance, after making all necessary adjustments for
extra-equine factors, Riva Ridge outperformed Sir Barton by approx 8
fifths, or about 8 to 10 lengths. A large difference between the two
was RR's inability to handle off tracks. The horse sub-performed in
the mud which preempted his 1972 Triple Crown run, performing badly
in the Preakness on a wet track. The same condition may have short
circuited his 1972 Woodward, finishing a distant fourth to Key To The Mint. However on a good track, Riva Ridge was formidable,
equaling or setting 4 track records and breaking 2 world marks. His
world record for a mile and three sixteenths still stands some 40
years later. In the Timeform listing of America's top 100, RR was
imposted at 133 pounds; unfortunately neither Sir Barton nor
Exterminator showed. 
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in">After adjustments for all factors other
than the horse, my findings placed Secretariat ahead of ManOWar from
close to 1 second at 10 furlongs to 1.6 seconds at 1.5 miles.  In the
comparison races at 1.5 miles, both were on hand rides for the
distance. Timeform imposted Secretariat, Citation and Spectacular Bid
ahead of ManOWar,  144 , 142,141, and 139 pounds respectively.
Timeform also imposted Forego at 138 lbs, the Hall-of-Fame gelding
both Secretariat and Sham defeated by 10.5 and 8.5 lengths
respectively in the Kentucky Derby. One wonders how well Sham would
have performed had he continued his racing career. 
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in">ManOWar left a strong impression on
horsemen, both on and off the track. Probably no single horse
performed as beautifully both on the track and in the shed, helping
to rejuvenate a stock far less than its international counterparts.
He was often referred to as the 'Super-horse', 'Wonder Horse', or the
'Miracle Horse' by journalists who recounted his performances in
their Sunday chronicles. In communication with Steve Davidowitz,
handicapper and racing historian, this author stated that those who
recalled the horse referred to him as 'stout', and 'unforgiving'. 
The horse might well have provided the greatest influence on a single
industry searching for a footing in a country going through an
industrial revolution, wars, to a sporting world in rehabilitation.
<span style="background: transparent">At the close of 1920</span>, a
remarkable sporting year that covered a summer Olympics, a Bill
Tilden Wimbledon title in tennis, and Jack Dempsey victories in
boxing, both ManOWar and Babe Ruth topped the list of the most
influential sporting figures to populate the headlines. Some <span style="background: transparent">writers</span>
made a case for ManOWar as the most crucial.  Crowning sobriquets
such as the 'The Greatest of All Time', 'The Horse of the Age', and
others clothed his ascent to royalty. But by the 40s, the balance
began to tip. New blood-lines infusing crops that grew in size by
factors of <span style="background: transparent">6 to 15 </span>began
taking effect, producing greater performance lines which arguably
peaked in the 60s and 70s. <span style="background: transparent">Stronger
gene pools generated</span> the leading performances of Secretariat,
two additional triple crown winners and a host of HOF runners
spurring observers to reference these decades as America's golden age
of racing. Thus far, the question is unanswered as to whether a
second golden age remains, ready to spawn a new generation of record
breakers, bearers of a heightened speed and stamina that will lay the
foundation for the new century. Breeders and owners work hopefully
and diligently to bring this forward. 
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in">As ManOWar's 100<sup>th</sup> birthday
approaches, <span style="background: transparent">the</span> stately
monument marking his remains at KHP quietly overlooks the American
horizon as it has for the past <span style="background: transparent">70
</span>years, confirming the reverence still held for this horse, his
place in history fixed. It stands with an air of invincibility, the
same certainty of will he stood with at the start of the post-war
boom. Yet as the objective modeling of Timeform, the expanded
mathematical examinations of Charles Justice ('<u>The Greatest Horse
Of All</u>'), the handicapping skills of Andy Beyer, and further statistical modelings corroborate, whereas
the reverence belongs to ManOWar, the track belongs to Secretariat;
whereas KHP belongs to ManOWar,  Churchill Downs and Belmont Park
belong to Secretariat; whereas two to three decades of sire influence
belonged to ManOWar and the future to his son, the broodmare sire War
Admiral, the X-Factor belongs to Secretariat, his daughters and the
future they bring. These along with Citation, Count Fleet, Seattle
Slew, and a few others benchmark American racing even today.</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in">  
</p>
<p style="margin-bottom: 0in"><br>
</p>
</p>
    </div>
    <a name=comments> </a>
    <!--- run through the comments without displaying them to get count of comments  but save vars first --->
     
   	    <p class="post-footer">
      <em>Russ @ 18:01 PM</em>
        		  			<a href="/cgi/user.cgi?urlname=secblog&inreplyto=6&cmd_blog_comment=Comment" class="comment-link">Add Comment</a>
		  		    </p>

	 <!--- ie want them inline --->
	  	  </div>
     
   
     <h2 class="date-header">Tuesday, 17 January 2012</h2>
      
   <div class="post"><a name=5></a>
    <h3 class="post-title">Secretariat's Stride Length and Gait</h3>
    <div class="post-body">
      <p><p style="margin-bottom: 0in" align="CENTER"><font size="4"><b>Secretariat's
Stride Length and Gait</b></font></p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in; background: transparent"><font size="4">When
I did research on Secretariats stride, I initially relied on
biographical data such as that found in the works of Raymond Woolfe
and Bill Nack, both citing the 25 foot mark taken just after one of 
the horses' workouts. Apparently, it was the longest one they found
within the 5 furlong distance he ran that day. On perusing the work
<u>Thoroughbred Champions: Top 100 Racehorses of the 20th Century</u>,
in the piece addressing Secretariat, the horses' stride length was
recorded at 26 feet, a figure probably taken from the Marlboro
Invitational where for the first and only time Riva Ridge and
Secretariat competed. In that meet, with the two running side by side
down the stretch,  both jockeys in post race discussion estimated
Secretariat's stride 3 feet longer than Riva's which was known to be
23 feet. At Secretariat.com in the Ask Penny  Archives, <span style="background: transparent">Secretariat's
owner </span>commented that though they measured his stride at 25
feet after one of his workouts, she thought it reached 28 feet down
the backstretch of his Belmont Stakes. Searching the internet,  I
found information relating to a horses' stride angle, ways of
measuring stride length, and a few other topics. I also found a
variety of statements claiming Secretariats stride measured such and
such, ranging from 22 to 25.25 feet. At Kentucky Horse Park , a scale
exists that allows vistors to compare the stride lengths of some of
the finest Thoroughbreds foaled in this country. There, evidently,
Secretariat's stride is listed at <span style="background: transparent">24</span>
feet (where this measure was taken from, one can only guess); 
ManOWar's  at 28.  </font>
</p>

<p style="margin-bottom: 0in;"><font size="4"><br></font></p><p style="margin-bottom: 0in"><font size="4">To begin with, why is
stride length even a worthy topic of discussion? <span style="background: transparent">Good
stride length is important because it is a product of good conformation and mechanics, and the best classic formations of both should
result in a sound running, athletic specimen getting an edge in
competition.</span> Some debate various aspects of this. Ron
Turcotte, Secretariat's jockey, stated that stride length is of less
importance than the time it takes a horse to complete a full stride,
or how fast a horse can accelerate in the critical moments of a race.
In the end, the ground a stride covers is of great importance, but
not the only component that counts. In  the 2004 Preakness that found
the big striding freshman Rock Hard Ten <span style="background: #c0c0c0">
</span> and the much smaller but seasoned Smarty Jones in head to
head competition, Smarty Jones ran a Beyer Figure of 118 leaving Rock Hard Ten some 8 to 10 lengths behind in the stretch.
More recently, in human terms, track champion Usain Bolt's long
strides and rapid acceleration led him to record breaking
performances at both sprint (100 meter) and 200 meter distances in
the 2008 Olympics. It is said he will compete at the 400 meter
distance in the 2012 heats. So both length and stride time are of 
importance. Usually a sprinter covers less ground per stride but with
faster stride times while distance runners cover longer spaces with
slower acceleration rates. Where does Secretariat fall? Writers have
considered him a hybrid, somewhere in between. In 1973, a heavily
muscled corpus resembling a sprinter standing 16.2 with length close
to a distance runner, Secretariat demonstrated strong acceleration
with great stamina, with the ability to easily traverse classic
distances. The horse displayed long stride length. </font>
</p>

<p style="margin-bottom: 0in;"><font size="4"><br></font></p><p style="margin-bottom: 0in"><font size="4">In getting estimates of
Secretariat's stride length I began with the simplest method
available: using film, I estimated the number of strides it took for
the horse to cover a known distance, usually a 16<sup>th  </sup>(330
ft), and then calculated the average. This was not always an easy
task. More often, horses don't enter and exit 16<sup>th</sup> poles
evenly. Many times I had to estimate reasonable stride portions at
the margins and work from there. I discovered that depending on the
stage of the race, whether it was early, middle or late, length
varied. Also, depending on the location of the horse, whether the
horse is running outside, in the middle or inside the field of
competition, or through the turns,  this affected the number of
strides taken from beginning to end. Rarely does a horse take a
straight, unimpeded path. Pace also affects the stride count.</font></p>

<p style="margin-bottom: 0in; background: transparent"><font size="4">With
Secretariat, counts of 13 to 14 strides per 16<sup>th</sup> down the
stretch of races were found, for an average range of 23.5 to 25.4 ft
per stride depending on the 16th. I found this wanting so other
methods were employed, yielding tenuous results. Eventually I found
an important piece of research done in 1978 by MIT professor George
W.  Pratt who studied horse gait in an effort to explain how
thoroughbreds suffer bone fractures during competition. The piece was
published in 1978's  American Journal of Veterinary Research. Using
film of Secretariat's Marlboro Cup and Belmont Stakes that could be
broken down into frames per second, Dr. Pratt developed methods of
estimating stride length and stride efficiency and concluded that
horses are at risk when they extend beyond their efficient reach. In
estimating stride length, he carefully calculated the ratio of <span style="background: transparent">frames
per stride to frames per second</span> and multiplied this figure,
<u>the stride time</u>, by the horses <u>velocity</u> in meters per
second (convertible to feet per second) through those same frames.
The result is the distance the horse traveled through each stride in
question. Applying those same methods to footage of Secretariat's
Derby and Belmont, I was able to get good estimates of the horses'
stride lengths through various sections and stages of the races, <span style="background: transparent">some</span>
of which were corroborated in Dr. Pratt's work. Whereas Dr. Pratt
used small sections of  stretch runs and concluded Secretariat's
stride length at approximately 24.3 ft, I  enlarged the sample to
differing sections of the Derby and Belmont and found that stride
length varied depending on the stage of the heat. First, confirming
that the times in seconds and fifths per quarter <span style="background: transparent">clocked
by the employed technology</span> matched the official recorded times
for both the Derby and Belmont, I proceeded to take the required
readings through the stretch runs of both races. I found Secretariat
crossing the Derby finish with a stride length of approximately 25.2
ft. In that race, it will be recalled that the horse closed the final
quarter in an individual 23 seconds flat, the official time at 23.2
seconds and that because Sham entered the quarter one fifth of a
second sooner. Secretariat's closing velocity of 54 ft/sec coupled
with a stride time of approximately .46 seconds rendered the measure.
In the Belmont, stride lengths at or near 26 ft were recorded in the
first half of the race, where, on entering the backstretch,
Secretariat and Sham were racing at speeds at or near 60 ft per
second; Sham in that same space had strides reaching 25 feet. In the
second half, down the backstretch, Secretariat's velocities
decelerated to roughly 57 ft per second reducing stride lengths to 25
ft. and above. In the final half, through the final quarter, tracking
stride times and specific velocities became more difficult as the
camera moved further from the subjects; nevertheless an estimated
closing time of 52 ft per second at the wire was determined rendering
strides just exceeding 24 feet for the champion. This last reading
was corroborated in Dr. Pratt's work. Through the last mile, stride
time remained constant making velocity the chief determinant of
stride length.  In the first half, faster stride times <span style="background: transparent">at
</span>higher velocities gave both Sham and Secretariat their largest
strides. As I did not work the  Marlboro Cup and Dr. Pratt did not
work the Derby, further findings were not corroborated. These
observations lead one to conclude that stride length occurs in ranges
and is </font><font size="4">contextual, </font><font size="4">dependent on what the subject is doing at the time of the
measurements. Faster stride times indicate acceleration, slower times
indicating longer leveling motions. High velocities are achievable
under both circumstances. As average stride lengths in the
Thoroughbred community reach 21 to 22 feet, one can see that
Secretariat and others who offer lengthy stride measures are most
likely good distance runners. With Secretariat's proven stamina, this
suggests the horse <i>should</i> have been an exceptional distance
runner. With this, Secretariat's stride range is listed at 24 to <i>at
least</i> 26 feet (see <b>Additional Findings</b> under the
<b>Discussion</b> link), with a long gallop measuring 25 plus,
depending on velocity and stage of the race. </font>
</p>

<p style="margin-bottom: 0in;"><font size="4"><br></font></p><p style="margin-bottom: 0in"><font size="4">One point of interest: in viewing Secretariat's gait in slow motion, when the horse extended
its hinds to the rear prior to recoil, it tended to bring its hooves
together at a centered focal point. This action provided an extra
fraction of kick. In viewing Sham's action, this did not happen.
Those rears tended to extend straight before recoiling without the
extra frame of thrust. Sham's stride time was thus a little shorter
thereby impacting stride length. The leggy 16.2 challenger spent a
little more energy in high velocity runs at least in part because of
the lack of the lengthier extension. Viewing older film of
Citation's Kentucky Derby stretch run revealed similar action.
Citation's rears tended to extend straight and slightly <i>outward</i>
before recoil, lacking the extra fractional kick. This trait in
Secretariat's profile might have been the outcome of the 'sloping
rear' that often received conformational critique. In an interview,
owner Penny Chenery referred to this sloping rear as the 'jumping
bump',  a trait inherited from its sire line that identifies jumping
horses.  She felt it gave the horse extra propulsion. If
this horse was a hybrid, it may have been a jumper/runner cross. </font>
</p>

<p style="margin-bottom: 0in;"><font size="4"><br></font></p><p style="margin-bottom: 0in"><font size="4">A quick footnote:
ManOWar's 28 foot stride was never corroborated. Though Walter
Farley's semi-fictional account of the champion and Kentucky Horse
Park record it, 3 other biographers never confirmed it. Both Page
Coopers' (1950) and Dorthy Ours' (2006 ) accounts list it at 25 or
more. Biographer Ed Bowen stated in his <span style="background: transparent">2000
</span>BloodHorse publication on the horse that the earliest
BloodHorse reference to the champion's stride designated it at 26 ft.
A reference is found in the 1974 Daily Racing Manual that listed it
at 28 ft without citing sources. This was followed with a change in
the 1975 Manual listing it at 25 to 28 feet. The following excerpt
taken from a post by John Harris to a Network54 Forum in 2005
summarizes the issue in more detail:   </font>
</p>

<p style="margin-bottom: 0in;" align="LEFT">---------------------------------------------------------------------------------<br></p><p style="margin-bottom: 0in;" align="LEFT"><font size="4">ManOWar
Photo &amp; Stride Length <br>by John Harris <br><br>I would like to
offer my comments in response to 2 issues posted elsewhere on these
web site pages: <br><br>#1. Length of MOWs stride:&nbsp; my
brother-in-law (Steve C.) and I conducted considerable research on
this subject, in the early 1980s with the assistance of the
National Museum of Racing in Saratoga and with Doris Jean Waren at
the Keenland Library in Lexington, KY. We uncovered that the maximum
length of MOWs stride, as Officially Measured, was 26 feet. This
was recorded in both the Thoroughbred Record (Nov. 6, 1920) and
Bloodhorse Magazine (April 30, 1966), as follows: <br></font></p><p style="margin-bottom: 0in;" align="LEFT"><br></p><p style="margin-bottom: 0in;" align="LEFT"><font size="4">'ManOWars stride, which has been reported variously from to 25 to 28
feet, was measured in the stretch run of the Lawrence Realization at
26 feet.'<br><br>C.W. Anderson, in his book, Big Red (c.1943),
wrote,&nbsp; .. 'his stride, which covered 29 feet, is the longest on
record.' (see, page 26). <br></font></p><p style="margin-bottom: 0in;" align="LEFT"><font size="4"><br></font></p><p style="margin-bottom: 0in" align="LEFT"><font size="4">Also, an article by Theodore Von
Ziekursch, which appeared in the Saturday Evening Post on July
26, 1930, stated,&nbsp; 'at Harve de Grace they measured his stride
... and in the back stretch, with the <br>jockey turning on the juice
by letting him out, this was increased to 29 feet. '<br><br>However,
both the book and the article are written with considerable hyperbole
and embellishment, so their 29 foot stride claims must be
'questioned' (my term).</font></p>

<p style="margin-bottom: 0in;"><font size="4">-----------------------------------------------------------------------------<br></font></p><p style="margin-bottom: 0in"><font size="4">Finally, in a footnote in
the appendix of Dorthy Ours' work, a comment is found describing the
28 ft mark as 'legend'. </font>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
<p style="margin-bottom: 0in"><br>
</p>
</p>
    </div>
    <a name=comments> </a>
    <!--- run through the comments without displaying them to get count of comments  but save vars first --->
     
   	    <p class="post-footer">
      <em>Russ @ 11:46 AM</em>
        		  			<a href="/cgi/user.cgi?urlname=secblog&inreplyto=5&cmd_blog_comment=Comment" class="comment-link">Add Comment</a>
		  		    </p>

	 <!--- ie want them inline --->
	  	  </div>
     
   
     <h2 class="date-header">Tuesday, 27 December 2011</h2>
      
   <div class="post"><a name=4></a>
    <h3 class="post-title">Singularities</h3>
    <div class="post-body">
      <p><font face="Verdana" size="1"><span style="FONT-FAMILY: Verdana; FONT-SIZE: 7.5pt">With
 respect to Secretariat, the question of <span style="font-weight: bold;">singularities</span>, or 
non-repeatable events or achievements, can be approached from this 
angle. I once did a rough sketch of the odds of a 
horse winning the triple crown while running all 3 races in record time.
 
&nbsp;Recalling those races, the Derby was run in 1:59 2/5s; the Daily Racing
 
Form clocking of the Preakness showed a time of 1:53 2/5s; and of course
 the 
Belmont's time of 2:24 flat. Though the Preakness time is not official, 
most in the know accept it because of the substantial evidence 
supporting it.&nbsp; In calculating this figure, if I remember correctly, the
 odds were the product of 2 
probability factors covering a window of about 50 years, from about 1926
 to 1975 
or so. The 2 factors were the odds of a horse winning the crown, and the
 odds of 
a horse setting track records in all three events given 'fast' tracks. 
After 
much work, the figure derived was one time in some 550 triple crown 
attempts, and less than two in about 1100. Given that an attempt occurs 
one time annually, 
this figure translates to 1 time in about <span style="font-weight: bold;">5.5 centurie</span>s and twice in 
some 11 
centuries; or <span style="font-weight: bold;">less than twice in 1000 years</span>. Secretariat's Triple Crown 
was his 
greatest achievement in his truncated career not so much because 
he was successful in 
accomplishing it, but because of the way in which he 
accomplished it. 
It is this odds figure that gives some sense to how he did it and it is 
this 
figure that sets him apart. Some commentators have 
tried to diminish the horse's accomplishments over the years, but in 
truth this colt was a millennium horse. If I were to recalculate inclusive of the racing years to the present day, this outcome would 
become more remote. One can count maybe one other 
that had such an achievement in terms of odds, and that was <span style="font-weight: bold;">Citation</span>'s 
record 15 straight in a single 'season. However, Citation's figure counts
 only as far as American horses are concerned for even this singular 
achievement pales in comparison to Kincem's 17 and 0 in her second 
season of running. <span style="font-weight: bold;">Kincem</span> ran in the 1870s in Europe and achieved the 
greatest singularity in finishing a racing career with a record of <span style="font-weight: bold;">54 
and 0</span>. This filly ran against the best colts, horses and mares of her 
time and more than once carried loads of up to 150 pounds. Furthermore, 
on multiple occasions, she competed at distances of at least 2 miles.&nbsp; 
These great achievements plus maybe one to two 
others stand out in racing history.<br>As a postscript, <span style="font-weight: bold;">Rapid Redux</span> recently increased his win streak to 22 this January of 2012 which included a record 19 wins and no losses for the 2011 season. This not only tied Citation's record 19 wins for the 1948 season but also broke his record 15 straight for the year. Rapid Redux's 19 single season win streak also outdid Kinscem's 17 and 0 outcome in her 3 year old campaign. The difference however is not in the streak itself, but in the nature of the streak. Whereas Kinscem and Citation competed at top grade levels and distances, Rapid Redux has competed at allowance levels. The streak itself is insufficent in determining the quality of the specimen. Rapid Redux however has carried high weight in his competitions and ran distances of up to 9 furlongs. Perhaps on a <span style="font-weight: bold;">pound for pound</span> basis can the Rapid Redux acheivement be considered among the best, a true singularity. <br><br></span></font></p>
    </div>
    <a name=comments> </a>
    <!--- run through the comments without displaying them to get count of comments  but save vars first --->
     
   			    <p class="post-footer">
      <em>Russ @ 12:19 PM</em>
        		  			<a href="/cgi/user.cgi?urlname=secblog&inreplyto=4&cmd_blog_comment=Comment" class="comment-link">Add Comment</a>
		  		    </p>

	 <!--- ie want them inline --->
	  
		<div class="comments">
		  			<div class="comment-body"><a name=4_1></a>
			  <p><b>nancy:</b> Kinscem was a great runner in her time, but her record alone is not enough to determine her rank among the best of the 20th century. No doubt the greatest achievement, yes, but still not enough to tell us how she would stack up against specimens 50 to 100 years later.....

nanc <small>(01/03/12)</small></p>
			</div>
		  			<div class="comment-body"><a name=4_2></a>
			  <p><b>russ:</b> Win streaks are deceptive. It is now clear that Kinscem's and Citation's single season records were not singular. For now Rapid Redux has equaled or broken them. To take some quotes from Redux's owner Robert Cole, he commented that "the math is unbelievable when you think about it. It is tough to win this many in a row. Durability is his greatest trait."; and "To win like this over a 13-month period is nearly impossible." I once communicated with writer handicapper Steve Davidowitz, author of The Best And Worst of Thoroughbred Racing, on Secretariat's greatest achievement, his record setting Triple Crown performance, and forwarded him my findings on the odds of a horse winning all triple crown races in record time. He responded that the impossibly low figures derived should  be taken parenthetically, 'with a grain of salt', that a more accurate estimate will result when another specimen comes along and accomplishes the same feat. In a nutshell,  these achievements cannot be proven singular. Rapid Redux has shown this to be true. Still as Cole says, they remain nearly impossible to reproduce, and difficult to achieve at any level. They are the markers of great athletes. Thus far, Kinscem's 54 and 0 career performance is closest to an impossibility. But once again, any 'singularity' by itself is not sufficient to determine the 'all time best of the best' in terms of ability. Some have more merit that others...russ <small>(01/08/12)</small></p>
			</div>
		  		</div>
	  	  </div>
     
   
     <h2 class="date-header">Saturday, 26 November 2011</h2>
      
   <div class="post"><a name=3></a>
    <h3 class="post-title">Secretariat and ManOWar Revisited</h3>
    <div class="post-body">
      <p>This paper presented a mathematical approach to two of the Triple Crown races Secretariat ran in 1973, the Kentucky Derby and Belmont Stakes. After using the Statistical method of Regression Analysis, it became clear that Secretariat's Belmont&nbsp; bested&nbsp; ManOWar's 1.5 mile Jockey Club performance by 11 to 12 lengths. But for two issues, the methods took into account all the material conditions that separate 1920 from 1973, track speed, etc.... Of the two issues the first was the direction the race was ran, the Jockey Club was performed left handed; it is not known how direction affects outcomes. The second was the weight carried, ManOWar posted 118 pounds to Secretariat's 126. Otherwise, Secretariat's Belmont was and most likely continues to be the best 1.5 mile performance on a right handed dirt track in recorded racing. Faster times are listed on turf surfaces, but that is in large due to the nature of the surface: turf is harder and faster, on average close to 2 seconds better at 1.5 miles. Similar comparisons and methods were used with Secretariat's 10 furlong Kentucky Derby. Issues became apparent at the outset, ManOWar did not run the Kentucky Derby in 1920.&nbsp; The comparison race was the 10 furlong Travers Stakes on the 9 furlong track at Saratoga. In comparing these 2, Secretariat's performance bettered ManOWar's by 3 to 4 lengths.&nbsp; In terms of speed, it is not known how different the Saratoga course was from the shorter 8 furlong track at Churchill Downs at that time. No doubt, differences affect time. ManOWar, however, carried 129 pounds in that race to Secretariat's 126.&nbsp; Field size affects time as well, Secretariat competed against 12 others, ManOWar two.&nbsp; <br>Based on these observations, all things equal, it is easily determined that Secretariat would have been the most formidable opponent to ManOWar, one that would have drawn the very best from him, and one that had the capacity to defeat him.<br></p>
    </div>
    <a name=comments> </a>
    <!--- run through the comments without displaying them to get count of comments  but save vars first --->
     
   		    <p class="post-footer">
      <em>Russ @ 17:23 PM</em>
        		  			<a href="/cgi/user.cgi?urlname=secblog&inreplyto=3&cmd_blog_comment=Comment" class="comment-link">Add Comment</a>
		  		    </p>

	 <!--- ie want them inline --->
	  
		<div class="comments">
		  			<div class="comment-body"><a name=3_1></a>
			  <p><b>mike:</b> interesting paper....manowar ran in a different era, difficult to account for all differences; still this does not diminish the accomplishments of secretariat. secretariat would be formidable in any era. 

thx <small>(12/09/11)</small></p>
			</div>
		  		</div>
	  	  </div>
  
</div></div></div>
<!-- End #main -->

<!-- Begin #sidebar -->
<div id="sidebar">
    
	<!-- Begin #profile-container -->
	  <div id="profile-container">
		<h2 class="sidebar-title">Profile</h2>
		<dl class="profile-datablock">
		  <dt class="profile-img"><img src="your_photo.jpg" width="80"  alt="" /></dt>
		  <dd class="profile-data"><strong>Name:  :</strong> Russ</dd>
		  <dd class="profile-data"><strong>Visitors: 1415</strong></dd>
		</dl>
		<p class="profile-textblock">It was through the career of Secretariat that I became interested in applying mathematics to his performances. I plan on doing this to other parts of his career. 

<!-- Back to template.htm -->
</p>
	  </div>
	  <!-- End #profile -->
    <!-- Begin .index -->
  <div class="index"><div class="index2">
    <h2 class="sidebar-title">Recent Posts</h2>
    <ul id="recently">
	    <li><a href="http://mail.truevine.net/blogs/secblog/index.htm">All</a></li>

		<!-- This following section will be repeated for each post -->
        		  <li>
		    <a href="http://mail.truevine.net/blogs/secblog/item_7.htm">
		       Did Secretariat Win By 31? 		    </a>
		  </li>
        		  <li>
		    <a href="http://mail.truevine.net/blogs/secblog/item_6.htm">
		       Secretariat ManOWar II 		    </a>
		  </li>
        		  <li>
		    <a href="http://mail.truevine.net/blogs/secblog/item_5.htm">
		       Secretariat's Stride Length and Gait 		    </a>
		  </li>
        		  <li>
		    <a href="http://mail.truevine.net/blogs/secblog/item_4.htm">
		       Singularities 		    </a>
		  </li>
        		  <li>
		    <a href="http://mail.truevine.net/blogs/secblog/item_3.htm">
		       Secretariat and ManOWar Revisited 		    </a>
		  </li>
        
    </ul>
    <h2 class="sidebar-title">Archives</h2>
    <ul class="archive-list">
       <li><a href="http://mail.truevine.net/blogs/secblog/index.htm">Current</a></li>

	   <!-- This following section will be repeated for each archive -->
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_11_11.htm">November 11</a></li>
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_11_12.htm">December 11</a></li>
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_12_01.htm">January 12</a></li>
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_12_02.htm">February 12</a></li>
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_12_03.htm">March 12</a></li>
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_12_04.htm">April 12</a></li>
       	     <li><a href="http://mail.truevine.net/blogs/secblog/index_12_05.htm">May 12</a></li>
       
       <li><a href="http://mail.truevine.net/blogs/secblog/rss.xml">RSS feed for secblog</a></li>
    </ul>
    <p id="powered-by"><a href="http://netwinsite.com/surgeblog/index.htm"><img src="/web/surgeblog.gif" alt="Powered by SurgeBlog" /></a></p>
    <!-- <p>
      This is a paragraph of text that could go in the sidebar - remove comment brackets to make it appear
    </p>-->

  </div></div>
  <!-- End .index -->
</div>
<!-- End #sidebar -->

<!-- Begin #footer -->
<div id="footer"><div><div><hr />
  <p>
  <a href="http://netwinsite.com/surgeblog/index.htm">SurgeBlog - Blog Server Software</a> |
  <a href="http://netwinsite.com/surgemail">Windows Mail Server Software</a> |
  <a href="http://netwinsite.com/surgenews">UseNet News Server Software</a>  </p>
</div></div></div>
<!-- End #footer -->

</div>
<!-- End #content -->
</body>
</html>


