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The Physics of the Knuckleball

snoop.daub writes "R.A. Dickey, pitcher for the New York Mets, has been in the news this week after two dominant pitching performances in a row, holding opponents to one hit in each of the games for the first time since Dave Stieb did it in 1988. He has taken over as the league's only knuckleball pitcher after Tim Wakefield retired last season. But just what is it about the knuckleball that makes it hard to hit? Conventional wisdom has it that the lack of spin on the knuckleball causes it to move in completely unpredictable ways, even changing directions in mid-flight. In the last few years, there has been a lot of good science done to understand baseball pitch trajectories, and a few months ago Prof. Alan M. Nathan showed that knuckleballs aren't really so different from other pitches. It turns out that the same 9-parameter equation that can be used to describe other pitch trajectories applies just as well to the knuckleball. The difference appears to be that, like in a chaotic system, knuckleballs depend sensitively on the initial conditions, so that small changes can cause randomly different forces at the start of the pitch which determine the resultant trajectory. Much of this and similar work depends on the Pitchf/x tool, which has recorded the complete trajectory, spin angle and spin rate of every MLB pitch since 2007! Baseball really does have the best sports stats geeks."

22 of 87 comments (clear)

  1. Wait, what? by pwnyxpress · · Score: 3, Insightful

    Guy 1: We have amazing technology that allows us to know EXACTLY what happened.

    Guy 2: Awesome, so we don't have to rely on humans in those really close calls.

    Guy 1: Well...not really...

    Guy 2: ?

    Guy 1: We're only going to use it to record pitches...

    1. Re:Wait, what? by PCM2 · · Score: 2

      Awesome, so we don't have to rely on humans in those really close calls.

      What... you mean like a "let's go to instant replay" type close call? As in "we think he struck out, but we'll have to go back and analyze each pitch to be sure"?

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    2. Re:Wait, what? by Martin+Blank · · Score: 2

      There's a difference between understanding what the ball is doing and playing the game as it happens. Recording what's happening is good for umpires to be able to view their mistakes after the game and correct their misinterpretations over time, but like many (most?) other baseball fans, I don't want it affecting the game as it happens.

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    3. Re:Wait, what? by Raenex · · Score: 2

      but like many (most?) other baseball fans, I don't want it affecting the game as it happens.

      I'm exactly the opposite. For me the refs in any sport are an annoying distraction when they make wrong calls, and calling of balls and strikes is over 90% of the game in baseball. There's really no reason computers can't take over for balls and strikes except for tradition.

    4. Re:Wait, what? by jxander · · Score: 2

      RE: Renex ... tradition and COST are the main reason for umpires. It's why Baseball and Soccer (football or fóótbaal or whatever) are two of the most popular sports in the world: Low barrier of entry.

      What exactly do you need to play soccer? One ball among 20-or-so players ... and maybe some rocks or backpacks or whatever to use as goals. Likewise baseball (or stickball for the N.Yarkers) can be played with 1 stick/bat and 1 ball between dozens of kids, and whatever random junk to use as bases (including but not limted to parked cars, that tree over there, this ant hill here, and the scuff-mark I just kicked in the dirt). It's cheap, it's easy, so it's popular. Adding any sort of computerized or digital aspect to the game will ruin that. So the point I'm struggling laboriously to reach is ... you'll never see computerized balls/strikes in baseball. To do so would be to alienate a good portion of their fanbase.

      Now, to the more salient point at hand... the problem with a knuckleball is unpredictability. The pitcher literally has very little control over where that little thing is going to go. A fastball travels in a predictable manner, likewise with sliders, curves, etc. And a trained batter can identify the pitcher's grip as he releases the ball to hopefully get a general idea of what's coming at him. A knuckleball? Who knows?? The pitcher sure doesn't, so the batter hasn't got a prayer.

      The only hard part, from a pitchers perspective, is being able to get that knuckler over the plate with enough consistency that batters don't just take walks or run up your pitch count. If you can do that, well ...

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    5. Re:Wait, what? by sjames · · Score: 4, Insightful

      Beyond the fact that many baseball fans LOVE to disagree with the ump, part of the game includes pitcher, catcher, and batsman working out where the ump is seeing the strike zone that day. Meanwhile, the pitcher tries to slowly expand the ump's strike zone, the catcher tries to frame the pitch as a strike and the batsman tries to crowd the plate and shrink the strike zone. The pitcher then tries to brush the batsman back. All of that gameplay is lost is a computer and cameras call the balls and strikes.

      Beyond that, how will the computer decide if the batsman swung or not? We don't even have official rules for that.

      I don't think it would really be the same game without the ump making the call.

      What I do think is good is the umps themselves reviewing footage, their call, and what the computer says during the off season.

    6. Re:Wait, what? by riverat1 · · Score: 2

      Most of the time it's not hard to figure out but occasionally the ball hits just barely above the home run line and bounces back on the field or it's difficult to tell if it was just inside the foul pole or not. That's where they use it, not for every home run, just ones that can be disputed.

    7. Re:Wait, what? by bryan1945 · · Score: 2

      You don't watch a lot of baseball, do you?

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  2. Naming the followers by Zephyn · · Score: 4, Funny

    Back in the late 80's/early 90's the Mets had a very successful pitcher named David Cone, and his fans were known as Coneheads... and sometimes dressed the part.

    Now for R.A. Dickey.... hm.... I think we'd better focus on his pitching style instead of his name. Let's go with Knuckleheads.

    1. Re:Naming the followers by Anonymous Coward · · Score: 2, Funny

      Sorry, already taken for fans of Chuck Knoblauch. I'm sure Mets fans don't want to go with dickheads so how about penismouths?

      Some great quotes on the knuckleball:

      Bob Uecker on how to catch it: Wait till it stops rolling then go pick it up.

      Jimmy Cannon on what a knuckleball is: A curve ball that doesn't give a damn.

  3. Hockey goalies by SoupGuru · · Score: 4, Insightful

    I'm a hockey fan and it's not unusual to see goalies get beat by what seem like simple shots. Someone skates over the blue line into the offensive zone and shoots an average wrist shot towards the goal. It's a routine save for the goalie under normal conditions... a really low percentage shot. But if the shot gets tipped, even ever so slightly and even a long ways away from the goalie, the goalie can have trouble with it.

    It's because the goalie reads the shot not by plotting the course of the puck but by seeing so many shots that by the motion of the shooter's stick and body language, he already knows where the shot is going and reacts accordingly. A tip, even a foot away from the shooter's release, turning a 20 foot shot into a 19 foot one, throws it all to the wind. You'd think it would give the goalie enough time to make the save but he's already moving to the top right corner before he realizes is going bottom left.

    I'm sure it's the same in baseball. Batters don't have time to judge the ball's trajectory itself so they rely on the pitcher's delivery to tell them where the pitch is going. When a knuckleball comes their way, there's nothing to read because even the pitcher doesn't know where it's going.

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    1. Re:Hockey goalies by snoop.daub · · Score: 3, Interesting

      Also the reason why a good change-up can be effective; looks like a fastball, moves 10-20 MPH slower.

    2. Re:Hockey goalies by artor3 · · Score: 5, Interesting

      I'm sure it's the same in baseball. Batters don't have time to judge the ball's trajectory itself so they rely on the pitcher's delivery to tell them where the pitch is going. When a knuckleball comes their way, there's nothing to read because even the pitcher doesn't know where it's going.

      You're close, but not quite right. Batters can pick up some aspects of the pitch from the delivery, especially at lower levels of play, but pitchers try very hard to avoid "tipping their pitches" in such a manner. So in the majors, what batters really look for is the spin of the pitch, judged by looking at the conveniently bright red seamsw. Since major league pitchers throw balls with 2000+ RPM of spin on them, the seams will mostly be a blur, except for key exceptions. For example a 2-seam fastball will appear to have two pinkish vertical stripes on it. On a sinker, those stripes will be tilted. Breaking balls look like they have dots (as the axis of rotation passes through or near the seam), with the dots in different places depending on the type of pitch. Of course, you only have about 200 ms to pick up the seams. On a 3" diameter circle. From fifty feet away. That sharp vision and quick thinking is probably the number one element in setting apart top hitters.

      On knuckleballs, there's nothing to read. Which means that major league hitters need to forget about their standard approach. All their skills and practice count for nothing, and they're forced to just hack away at it the way you or I would (albeit with a swing that won't draw laughter from the crowd).

  4. stats geeks by Anonymous Coward · · Score: 3, Informative

    Baseball really does have the best sports stats geeks.

    Meh. You've clearly never met any cricket fans.

    Just ask one to describe the Duckworth-Lewis method of calculating scores for a rain-interrupted match.

  5. Stats by michaelmalak · · Score: 2, Interesting

    Baseball really does have the best sports stats geeks.

    That's because if you took the stats out of baseball, there'd be nothing left.

  6. nice analysis, now try hitting one by jcgam69 · · Score: 2

    The article claims that knuckelballs are really no different than normal pitches, mathematically speaking. My guess is that the author has never tried to hit a knuckleball pitch.

    1. Re:nice analysis, now try hitting one by gstrickler · · Score: 3, Interesting

      Actually, that's not what he said:

      So, what has this analysis taught me? For an ordinary pitch, the trajectory follows a smoothly curving line approximated by nearly constant acceleration. For a knuckleball, rather than a line, imagine that the trajectory is confined to lie inside a tube which itself follows a smooth curve. However, the ball is otherwise free to flutter and zig-zag within the confines of the tube. With that picture in mind, the analysis I have presented shows that the diameter of that tube is very small, on the order of a few tenths of an inch at most.
      ...

      The smoothness conclusion appears to contradict the popular belief that knuckleball trajectories are erratic and often experience abrupt changes of direction. Let me speculate that this belief is the result of the randomness of movement, both in magnitude and direction, giving rise to the perception of erratic behavior. We have all seen instances where the catcher and pitcher get their signals crossed, and the catcher has to lunge for the ball at the last moment. The catcher expects a certain movement, and the pitcher throws something with different movement. With the knuckleball, no one really knows what movement to expect, so it is not surprising that the catcher has some difficulty cleanly catching the ball and that the batter has even more difficulty hitting it.

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  7. Been there, done that! by Takionbrst · · Score: 5, Informative

    Six years ago, from a professor at my alma mater: http://farside.ph.utexas.edu/teaching/329/lectures/node45.html This being slashdot, I didn't RTFA but the author seems to come to the same conclusion that Fitzpatrick did. Incidentally, if you ever need to know something about physics, chances are this fellow has excellent lecture notes posted on his website covering the topic (in hyperlinked html, pdf, and even a git repository for the latex code!).

  8. "Chaotic" != "Random" by davide+marney · · Score: 2

    The difference appears to be that, like in a chaotic system, knuckleballs depend sensitively on the initial conditions, so that small changes can cause randomly different forces at the start of the pitch which determine the resultant trajectory.

    I know this is being picky, but if A "causes" B, that is not a "random" chain of events. A chaotic system may be unpredictable by an observer such as a Major League batter, but it is not in any sense of the word, "random".

    --
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  9. Nice to see skill over brawn by msevior · · Score: 4, Interesting

    It's nice to see the pracitioner of a fine skill be successful where traditionally the best pitcher is the one who can throw the fastest (under control of course).

    A similar scenario happens in cricker where a great spin bowler can dismantle a team. Until the 1990's bowling in cricket was dominated by extreme speed where the best bowlers could bowl at over 150 Km/Hr. Along comes Shane Warne, considered the 2nd most influential cricketer in the 20th century who bowls at less than 100 Km/Hr but with a wicked spin and fantastic control.

    Check out the "Gatting ball" video below for a delivery of pure beauty.

    http://www.youtube.com/watch?v=rOVei8iTyM8

    It was Warne's first Test Match delivery in England!

    1. Re:Nice to see skill over brawn by snoop.daub · · Score: 2

      Even the personal catchers have trouble catching them. Some even use softball mitts, or first basemen's gloves, to improve their chances of getting leather on the ball.

  10. Mod down; wrong by gottabeme · · Score: 5, Informative

    Batters don't have time to judge the ball's trajectory itself so they rely on the pitcher's delivery to tell them where the pitch is going.

    Yeesh. You're just plain wrong. At least you were nice about it. But you're just wrong.

    Hitters watch the pitcher's release point and try to "pick up" the ball as soon as it leaves his hand. If a hitter doesn't visually lock onto the ball as soon as it leaves the pitcher's hand, he probably won't hit it--at best, he'll foul it off.

    Pitchers generally try to maintain a consistent release point; it makes it easier to develop fine control and helps prevent injury. The release point can be the same, yet the pitch location can be all over the place.

    I haven't even mentioned spin yet. A four-seam fastball and a two-seam fastball behave very differently, yet they begin the same, coming straight out of the pitcher's hand with backspin. If the hitter doesn't read the spin, he probably won't hit it well. A changeup or a splitter are even more different than those pitches, yet they also come straight out of the pitcher's hand with backspin. The hitter must see the seams of the ball as it's in flight in order to recognize the pitch type and be able to estimate its trajectory. And I haven't even mentioned curveballs and sliders yet.

    I'll never forget the first time I recognized a slider while hitting. I remember seeing the dot right after the ball left the pitcher's hand. I had seen enough of them on TV replays while watching games that my mind recognized it quickly, and I knew the pitch would be a ball, low and away. If I hadn't seen the dot, it would have looked like a fastball down the middle, and I would have swung and missed. And all of that visual and mental recognition and processing has to happen in a fraction of a second. It was exciting! (If only I had had my vision corrected years earlier! I didn't realize I was capable of seeing the spin on the ball.)

    As for knuckleballs, it's an exaggeration to say, "even the pitcher doesn't know where it's going." Not that a pitcher has fine control over it, but if it were as wild as you suggest, it would be useless. If you can throw a baseball already with decent accuracy, you can try a knuckleball for yourself and see. It's not that hard to get it in the strike zone if you're a decent pitcher.

    Yes, I used to play baseball, both pitching and hitting.

    (As an aside, while you might know a lot about hockey, please don't speculate so authoritatively about something you don't actually know about. It's a shame to see a post that's just plain wrong modded +5 Insightful.)

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