> meca > mécanique-newtonienne > feynman-elementary-proof-of-ellipses-orbits-for-1-r2-law-3b1b

Feynman's Lost Lecture (ft. 3Blue1Brown)

minutephysics - 2018-07-20

Check out Grant’s channel: 3blue1brown: https://www.youtube.com/3blue1brown

This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses.  See the excellent book by Judith and David Goodstein, "Feynman's lost lecture”, for the full story behind this lecture, and a deeper dive into its content.

Tweet referenced at the start: https://twitter.com/3blue1brown/status/1016936129117937664

Music by Nathaniel Schroeder: https://soundcloud.com/drschroeder/elizabeth-the-mouse
Music by Vincent Rubinetti: https://soundcloud.com/vincerubinetti/one-two-zeta

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Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute!

Created by Henry Reich

3Blue1Brown - 2018-07-20

I know what you're thinking: Either Henry is taking some well-deserved time off and I'm just helping to fill in during that vacation, or else he's currently tied up in my basement providing me occasional sound bites for food while I slowly take over the channel for good. To anyone worried about case #2, don't be silly.



He's in the attic. Way too many escape routes in the basement.

feetedmy_yeetus666 - 2019-12-19

@Austin David The Sun is probably one of the foci.

Du Fisch - 2019-12-30

@hany ashraf e^(i*phi) = cos(phi)+i*sin(phi) and ist therefore periodic. That means it maps multiple inputs to the same output. In your case e^x maps both i*tau and 0 to 1. ln(1) could mean either of them but the usual definition is ln(1) = 0. In your equation you're using ln(1) = i*tau instead.

Dwight Keller-Williams - 2020-02-05

where prisoners should be kept. because we all now that a prison up in the sky is worth more than a prison below ground. (because of falling.)

Simon Tracer - 2020-02-07

Inshort you never said Galaxy. Or size of the sun. In any of that

Damxge The AAG - 2020-03-12

Why is your comment not pinned

Brent Taylor Art - 2019-05-10

Newton - "OMG they don't understand my physics!"


Feynman - "Hold my beer."

Vlad Seremet - 2019-10-24

Hold my bonjos

GodBlessYou2008 - 2020-01-13

Not only Newton. It should be all the other physicists vs. Feynman. Feynman was born too early. He should have appeared today on our planet.

John - 2020-01-17

Unfortunately Feynman didn't understand it either. What is at the other focus?

Michael Eliosov - 2020-01-26

@John Nothing, why does there need to be something at it?

John - 2020-01-26

@Michael Eliosov Feynman used both foci to draw his ellipse

Just Looking - 2019-06-08

This is like staring into the sun. You know you're seeing something awesome, but the brilliance of it blinds.

John - 2020-01-17

What's brilliant about it?

ReznoV Vazileski - 2020-01-17

@John I mean for the sun nuclear fusion is as easy as breathing is for us. While a lot of people in humanity don't even understand how fusion works in the first place. That's brilliant enough for me.

Phil G - 2020-01-18

worshyperbole

Perer Addison - 2020-01-22

@John ... umm...
... the light ...

Perer Addison - 2020-01-22

@John ... de-light ...

Zaheer A - 2019-07-06

As Feynman once said "...it takes tremendous strain on the mind to understand certain concepts.." now I know he was right.

John - 2020-03-17

@ironic legacy exactly, theres nothing there. so Feynman's analogy is false

ironic legacy - 2020-03-19

@John What analogy are you talking about?

John - 2020-03-19

@ironic legacy The one at 4:15 where they construct the ellipse using 2 thumbtacks and a string

ironic legacy - 2020-03-20

@John That's more of a way to construct an ellipse, not really an analogy

John - 2020-03-20

@ironic legacy I cant agree with that. Feynman used the same explanation. At best it causes confusion without explaining anything

Corbin Trexler - 2019-10-11

"What special curve satisfies the property that the tangency direction for a point theta radians off the horizontal is given by this vector from the special eccentric point from the circle to a point theta degrees around that circle from the vertical?

Okay... Is the question clear?"

Uhhhhhhhhhh... infinite intelligence load error

Leo Liu - 2019-12-27

That has stumped me for a minute :D

Aditya Mishra - 2019-12-28

ngl, i repeated that single sentence at least 5-6 times before i didn't understand it and sucked it up and went on with it

Erik Rindalsholt Fredriksen - 2020-01-05

I am so sorry, but i just liked your comment, even though it had 69 likes. Thankfully, i have the infite intelligence required for this video and i managed to unlike it, not dislike, but unlike, so that it still has 69 likes. Sorry for the inconvenience

Steve Mac - 2020-01-07

Basically,... we're back to the (constructed) ellipse within the circle, made with the string and two focal points.
.

Alan Yu - 2020-03-14

Basically you need to understand for any point along a curve, its velocity vector has a direction tangent to the path. The bit with constructing a circle by placing the velocity vector tail to tail stumps me tho. Rest of it is easily understood if you think about it.

Jorge C. M. - 2018-07-21

my mom entered the room and i changed to porn because it was easier to explain

Tomkingsten YT - 2019-11-01

@Zes exxxaxzlx

Arnab Biswas - 2019-11-30

@therugburnz lol

Arnab Biswas - 2019-11-30

Your mother listened to your explanation.....

Medical Virtue - 2020-01-14

And then he banged his mom.

Kaustubh Thakur - 2020-01-15

😂😂🤣🤣🤣

Gohar Bajwa - 2018-08-15

The video currently has 467,294 views including my 467,200 views to understand it
That too at 0.5X speed

Red-baitingSwine - 2019-08-01

On "watching Feynman 'splain things is just like watching Bobby Fisher play chess"... How true! In both cases, I feel I understand about 20% (to be generous) of what's happening. : ) (I think I'll come back to this video from time to time)

Mary Cordelia Myers - 2019-08-06

@J. Meijerink I'm enjoying thinking you really did the math...but too lazy to do it myself. (Ok, typing that felt unacceptable, so I did it... I got 38.6 years. So I'm thinking maybe you did the quickie version in your head or something! In any case, I appreciate your comment.)

Jeroen Meijerink - 2019-08-06

@Mary Cordelia Myers It was on the back of a napkin so not all in my head ;). Thanks for the correction, it's nice to see I was fairly close.

E_M_E_T - 2019-08-23

@Mary Cordelia Myers I just did the math too, and yup, 38.6 years

Hasan Mahmud - 2020-03-07

Underrated

Alex Matsumura - 2019-03-29

“So I’m gonna draw it nice and thiccc”

*12 year olds have entered the chat

actorpus The great - 2019-06-15

Alex Matsumura “so you can see all the parts” 😂

Anna Jevailn - 2019-08-19

Lol 😂

Playah Ship - 2020-02-14

Haha they love sucking on nice and thiccc ddddddddiiiiiiicccccccccccccc😂

Dan Lewis - 2019-05-12

As my eyeballs glazed, I realized fully that I do not have 'infinite intelligence'.
I guess it's good for us to run into a wall now and then. Wow.

Red-baitingSwine - 2019-08-01

On "watching Feynman 'splain things is just like watching Bobby Fisher play chess"... How true! In both cases, I feel I understand about 20% (to be generous) of what's happening. : ) (I think I'll come back to this video from time to time)

Beat Toedtli - 2019-02-10

Newton started off with a bet to prove this (the ellipse being a consequence of the inverse square law) and produced a series of publications, eventually compiling the principia mathematica out of this seed. However, although he never states this clearly, I'm sure he realized that the proof he gave was for the converse: that given an elliptic orbit, an inverse square force law follows. This was much easier at the time because so much was known about the geometric properties of the ellipse than was about F=m a. In fact, Newton couldn't really mathematically use velocities because they compare two quantities with unequal units (distance, time). Also of course algebraic notations and vectors weren't invented yet. But still Newton claimed to have won his bet, and the Principia avoids any clarity about proving the inverse square law vs. the converse (proving the elliptic shape).
I'm sure Newton would have LOVED this type of proof, and this proof in particular! Although I'm sure he'd appreciate how much more powerful modern mathematical notation and ideas such as vector or Lagrangian calculus are. And that's where Feynman and 3blue1brown comes in: Elementary proofs just are the next level of understanding: being able to explain something seemingly complicated in simple terms. With intuitive concepts, but with methods not more complicated that what was available to Newton.

Fanime Productions T.V. - 2019-05-15

Wow! What a trickster!!!

Priyank Rupareliya - 2019-10-09

God not again

NightOwl19 GOD - 2019-11-05

Beat Toedtli I didn’t even read the comment because I knew I wouldn’t understand it but I’m acting like I do understand it so I seem smart.

BIGGANI J.A.M. J.A.M - 2019-12-15

wait Newton didnt have vector????

Simon Tracer - 2020-02-07

Gravity doesn't auto make orbits. If the sun moves fast enough, say twice as fast as currently. We would be a kite. Not an orbit at all. The planet spin is all that would maybe change how the sun effects the earth. No years would take place. No seasons.
If the sun moves slower our orbit would A flatten. Or B decay. We all know what that means.
We are lucky. About half or so or the planet's in each galaxy is lucky.

Daniel Kunigan - 2018-07-21

“You don’t need calculus to understand this”
3 minutes later
“As you can see, if you keep adding infinitely small sections to this polygon, it trends toward a circle”

Dongulus - 2019-10-21

MMABeijing Knowing what a polygon is isn't necessarily calculus, but the change in x approaching 0 is.

willem hendrik plug - 2019-10-24

@Break Down Are you serious? Im some how aroused about your comment

Arnav Anand - 2019-11-24

@Robert Brandywine The Cuclacas

Oswald Spengler - 2020-03-02

Oh come on its just shapes square peg square ? I dont remember now what were we talking about? I think my Polygon used the big hammer on me?

Oswald Spengler - 2020-03-02

@MMABeijing
Everything is a pixel? Pixels are Polygons? Therefore ahhh fuckit lets go shoot at stuff

Baba Ali - 2019-05-23

10:48
3B1B : Well, specificly it says that this quantity times the mass of the object stays constant, but, I mean, the mass of the orbiting object isn't gonna be changing.
Michael : Or is it?

FireStorm680 - 2019-09-09

Dun dun dunnnnnn

Milz H - 2019-09-13

A true method of quantifying intelligence does not yet exist. If it's ambiguous then you might as well be optimistic. Use your finite intelligence to acknowledge your infinite intelligence.

Steve Mac - 2020-01-07

@dekippiesip - Great reply. There becomes a point whereby, from the 'elementary' explanation,.... we could start to include all kinds of variables over time to continually refine and re-calculate.
.
In this case due to 'evaporation' the ORBIT traced by the object, (due to velocity vector differences relative to mass variation) thereafter,...would simply alter to compensate.
.
.

Oswald Spengler - 2020-03-02

@Hexanitrobenzene
Then we get Snow Cones?
Is that before or after the two objects that made the Comet kissed like Boyfriend and Boyfriend and stuck together? It is so sweet I cannot believe how romantic!!!
So tell me how anyone could come to the delusion, I mean conclusion that ice and /or snow is it? That ice and snow covered in rock and dust becomes a pressurized gas in a vacuum at the Exact same distance from the sun every single time? Every single observed Comet?
Ok I will admit that there have not been many theories that I have said this about, so it may come out wrong but, here goes...Ready?
THAT IS IMPOSSIBLE!
Did I say that correctly? Misspellings?
Nearly as comical in theory as the Dark Knight? Makes for wicked good Comic Book Characters for propagandhi but, absolutely worthless for any explanation or Physics derp. Well on the other hand they should be quite useful as hardened underground bunkers whoops cat is outa the bag...
Put simply STFU unless you are buying Snow Cones then make mine Red Please? Thank you in advance Snow Cones are fricken bomber.

Hexanitrobenzene - 2020-03-05

@dekippiesip
On a second thought, if the mass of an object decreases, the gravitational pull decreases proportionally, so everything evens out.

Jordan Bennett - 2018-08-29

2000 years later:
The physics/maths behind creating level II universes.
Animated and taught by 3b1b the 500th.

Al the Alligator - 2019-05-03

Yes, I'm going to pretend like my brain has enough computing power to fully comprehend every single word in this video and instantly apply it to every subject previous brought up, and watch the video a ×1 speed without pauses.

Fanime Productions T.V. - 2019-05-15

I too, shall do this.

Al the Alligator - 2019-05-15

@Fanime Productions T.V. Wonderful, truly wonderful!

Red-baitingSwine - 2019-08-01

An energizing idea!

chris - 2019-08-07

Think of operating a cnc machine when carving out, the chips fly in those directions, if the tool breaks it also flys in that direction, just have the infinite intelligence to have the guards shut when it dose!

David Timothy P - 2019-08-18

3blue1brown: *explanations*, Right?
Me: Uhhh brain.exe is not responding
3Blue1Brown: continues explaining
Me: brain.exe crashed

Elijah Flowers - 2019-08-20

David Timothy P yooo for true, I'm just ganna watch Feynman explain it

EnderallyGolem - 2018-07-20

Twenty One Minutes Physics

The Science Lab - 2018-07-22

Twenty øne min. Physics

Anže Peternel - 2018-08-01

Actually, 3Blue Minutes and 1Brown Minute Physics.

ganondorfchampin - 2018-08-07

So which is longer, a blue minute or a brown minute?

RWBHere - 2018-08-27

ganondorfchampin, the minutes are constant. Blue and Brown are variables. Brown can be = 18 and Blue = 1, or brown can be = 3 and a Blue = 6, for example. The answer to your question is therefore 'Either'. ;-D

inbisat yousuf - 2019-01-25

And 44 seconds

Charles McMillion - 2019-05-18

The Great Physicists' Road Trip by Ms. Rachel C. Millison

Great physicists from the past decide to return to Earth for one last road-trip vacation to the coast together. They all appear on Earth on the appointed evening. Heisenberg pulls up behind the wheel of a gigantic 1930's car, a huge grin on his face.
As they're getting in the car, Hubble looks up and says "What a wonderfully dark sky".
"Shouldn't be" responds Olbers.
"Always has been" says Hoyle.
"No, it hasn't" says Lemaitre.
"I knew that!" says an embarrassed Einstein.
Once they're all in, Teller says "Hey guys, this trip is going to be The Bomb!".
"Yeah, but why do I always have to organize?" asks Oppenheimer.
"Where exactly will we end up?" asks Kepler.
"That's impossible to predict" says Bohr.
"I just can't believe that's true" says Einstein.
Heisenberg punches the throttle and the old car roars off.
"Say - this thing sure accelerates" says Newton.
"I don't know, Isaac. It feels like gravity to me" smirks Einstein.

Later that night, as they are speeding down a country road, a police car catches up to them and pulls them over.[1]
"Do you know how fast you were going?" the cop asks. [1]
"No, but I know exactly where I am" Heisenberg replies. [1]
The cop says "You were doing 55 in a 35" [1]
Heisenberg throws up his hands and shouts "Great! Now I'm lost!" [1]
The cop thinks this is suspicious and orders him to pop open the trunk. He checks it out and says "Do you know you have a dead cat back here?" [1]
"We do now, asshole!" shouts Schrodinger. [1]
"I think it's time to split" says Everett.

"Say, how did you manage to spot us on such a dark night?" asks Hubble.
"I saw the light from your head lamps" says the cop.
"How fast was it going?" asks Michelson.
"That's simple addition" giggles Galileo.
"Not exactly" says Lorentz.
"Look here" says Heisenberg, "how do you know I was going that fast?"
"I clocked you over a measured distance" says the cop.
"How often?" asks Hertz.
"I disagree with your measurement, officer" interjects Einstein.
"Don't start tonight, Albert" says Bohr, shaking his head.
"What Herr Einstein is trying to say" continues Heisenberg, "is that time was running at a different rate for you than for us".
"WHAT!!!???" exclaims Newton.
"It's true" says Maxwell. "We're all famous scientists and, believe us, Herr Einstein has proved it, though it came as no surprise to me".
"Sounds complicated" responds the cop.
"I'll draw you a simple diagram" says Feynman.
Totally flummoxed, the cop lets them go with a warning. As he drives away, Doppler cocks his head and listens to the sound of the receding police car. "Gotta love that" he says.
"Amen" responds Hubble.

Returning to their car, Lord Kelvin remarks "Sure is warm tonight"
"Yep - lots of disorder" replies Boltzmann.
"In places you'd never expect" adds Hawking.
"I was lucky to get away with that" says Heisenberg. "Most cops think they're better than everyone else".
"Yes - I hate inequality" adds Bell.
"Though you were speeding" says Faraday to Heisenberg. "I carefully observed the needle creep from 35 to 55".
"Actually, it was jumping, Michael" replies Planck.

As they pile back into the car, Bohr says "See here - you must fill the seats in order - no empty spaces allowed. And stop interfering with each other!"
"Only one of you can sit next to me!" yells an agitated Pauli.
"Say, Werner - it's stuffy in here. Be a good chap and crack the window a bit" says Hawking.
"Sorry, Stephen. It can be all the way up or all the way down, but nowhere in between" replies Heisenberg.
"Hey guys - Albert and I just figured out a great shortcut. Only one bridge" announces Rosen.
"It will save us a lot of distance" says Einstein, "but it might get spooky".

Arriving at the beach the next morning, they hurry from the car and stand looking out over the ocean.
"Look at the wonderful waves" says Schrodinger.
"They don't look like waves to me" says Bohr.
Looking down at the fine sand, Dirac exclaims "Look at all the particles!"
"Now those look like waves" says De Broglie.
"This is great!" exclaims Feynman, rubbing his hands together. "Now, lets go meet some girls!"
"Let's delay" says Wheeler.
"We have to be discrete" warns Bohm.
"Girls? NEVER!" exclaims Newton.


1 Based on, and including the original, attributed to Rich Granger, engineer, Battelle.

sourav singh - 2020-03-13

thanks for putting this thing up, its awesome

Weiye Zhang - 2019-03-14

yeah 3blue1brown you are my daily dose of intelligence

Doru Min - 2019-03-28

Infinite intelligence? :P

Zenothys - 2019-05-25

If you pause at 19:15 you can see what my eyes were doing by this point in the video

Eddie Byrne - 2019-08-18

Minute physics that takes 21 mins ? .....we are off to a good start.

Pali May - 2019-08-21

Its not time its angle, check the meaning of the word minute

DaveDonnie - 2019-07-12

When 3B1B hosts this channel:
Bravo Six, going dark.

BovrilGopnikMunda - 2019-06-15

Thank you for the effort that was put into this. Amazing people, teaching millions of anonymous people, you deserve more gratitude that can be offered in a comment!

Virgilio Ebajo - 2019-09-03

4:23 I heard that as "... pull the string thot"

Ended up finding a thot rather than learning physics.

Jeff Gross - 2019-03-10

Feynman has a Queens accent. He is from Far Rockaway : )

Sebastian Elytron - 2018-07-20

Minutephysics + 3blue1brown + Feynman? Knowledge-gasm!

Zes - 2019-02-07

no such thing as gasx or knowx or jax etc or not

Geetha Kochukunju - 2019-02-07

Cringe

Ibnziyad Tariq - 2019-03-04

Sebastian Elytron i am sure you didnt understand shit

Oleander Thor-Borre - 2019-07-31

You have good taste in games.

John - 2020-01-17

Unfortunately both make a ton of mistakes

Max Shmurygin - 2019-02-08

"...approaches a Perfect Circle. Isn't that neat?" - "indeed it is!" (Walks away and puts Lateralus by Tool on play)

Yousef Albasir - 2018-11-12

“The laws of physics cook things up just right.” And remember kids, it was all an accident; just mere coincidence.

Blueberry Pi - 2019-12-26

"Stay focused"


I see what you probably weren't intending to do there.

RishiNandha - 2019-12-23

Does "What shape do Velocities trace off" Have anything to do with Legendre Transformations?

Evi1M4chine - 2018-07-26

3blue1brown and Feynman belong in one set regarding their ability to explain.

serge boisse - 2019-04-01

"Surely you're joking, Mr Feymann !" is one of the best book I have ever read. Its deep, it's mind-boggling, and much more, it's fun !

Heph333 - 2019-09-14

My favorite work of nonfiction ever.

Harsh Joshi - 2019-08-06

Somehow, I've always thought of Ellipses as the set of points generated given the base of a triangle and the sum of it's three sides.

H Xen - 2018-07-26

I am crying with tears of joy at the beauty...

Nienke Fleur Luchtmeijer - 2018-07-20

I find it fitting that a guest video was used to talk about a guest lecture

Random Person - 2019-04-26

I just realized that.

twicebitten thasme - 2019-08-19

Serendipitous, to be honest...

Stu Lora - 2019-08-21

@Marcus Campbell now rotate that by 90°

Colin Thomasson - 2019-05-04

Wonderful presentation and explanation...now, I want to know what was Newton's working which Fenyman couldn't follow, if that is what Grant said.

Jon Thomas - 2019-03-16

That black dot on the screen from 1:43 to 1:48 got me! I was pawing at my screen trying to remove the 'spec'. How dare you! :3

Laura xyz - 2018-07-27

Wouw I thought lol I’ll never get that stuff it sounds too complicated 😂 but I actually get it 😳
Who also had this haha 😜

Robert Erwin - 2018-07-27

By 6:18 I suddenly understood all of it! It was a great feeling

Sebas - 2018-07-20

I'm afraid I only have a finite amount of intelligence.

Matthew H - 2019-06-19

Turn Feyman's joke into a non-joke. Get 600 thumbs up. Ok

synth sam - 2019-06-19

Be afraid of intelligence, limits you.

Jason Dunne - 2019-06-21

unrelatable

Adeesh - 2019-07-03

Or a limiting case therof of an infinite but convergent representation.

Jahid hasan - 2019-08-11

Zod great reply...i also think in the similar way..
thank you

JustGame - 2019-01-16

The fireplace is traditionally the “focus” of a living room and thus the Latin word links in that regard also

Vicky Thounaojam - 2019-09-07

except for the intro part and the ending part, I thought I was I was watching *3blue1brown*. I love each and every video he has ever made. Great fan.

Stupidity is not a crime. - 2019-06-09

Remember that. Intelligence is always Relative.😉

L’A - 2019-06-12

His voice is so smoothing, I could listen to it all day.

Mario Power - 2018-10-12

OMG, my head hurts. I need a drink.

Yashee Sinha - 2018-07-31

Day 3: I have used the concepts in this video to clear up 4 of my doubts, again.

Kaustav Dey - 2019-01-16

0:14 MINDBlown
I saw that same thing in my coffee mug

Joseph Ryan - 2019-04-12

11:42+ "albeit at some loss of elementarity" LOVE!

Pixel_95 - 2018-07-23

THIS IS SO BEAUTIFUL!!!

painstruck01 - 2018-11-21

Tl:dw - an elipse is a cross section of a cone.

Thomas Moustas - 2018-09-16

Damn I loved this masterpiece so much