How Kepler Actually Discovered his Laws
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- Опубліковано 7 тра 2024
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References
On the Shoulders of Giants: The Great Works of Physics and Astronomy. (2003). Kiribati: Penguin.
Koestler, A. (2017). The Sleepwalkers: A History of Man's Changing Vision of the Universe. United Kingdom: Penguin Books Limited.
en.wikipedia.org/wiki/History...
www.keplersdiscovery.com/inde...
The Cambridge Concise History of Astronomy. (1999). United Kingdom: Cambridge University Press.
Mazer, A. (2011). Shifting the Earth: The Mathematical Quest to Understand the Motion of the Universe. Germany: Wiley.
Voelkel, J. R. (2021). The Composition of Kepler's Astronomia Nova. United Kingdom: Princeton University Press.
stellarium.org/
Kepler, J. (2015). Astronomia Nova. United States: Green Lion Press.
Stephenson, B. (2012). Kepler’s Physical Astronomy. Switzerland: Springer New York.
Brahe, T., Dreyer, J. L. E. (1972). Tychonis Brahe Dani Opera omnia. Netherlands: Swets & Zeitlinger.
dn790003.ca.archive.org/0/ite... - Наука та технологія
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Thank so much for this. I'm an astrophysicist and I can tell you that this kind of outreach is a must need. Very well done and very well explained. Kepler was an outstanding figure and getting to know the reasoning behind his archivement is beautiful.
Would be nice to learn how Tycho Brahe is pronounced
Also it's "died in vain", not "died in vein"
It's "ancients" (anshients), not "ancshients"
Why am I not allowed to leave any comments here? Having read Astronomia Nova, I've tried to say something about Kepler's pains with adjusting for the atmospheric refraction of stars' inclination. But none of my comments stick. I feel for unsubscribing. Do you btw copy your videos to Rumble that doesn't have random big government censorship of anything that might've "become politically sensitive" right now, who can guess what next, Kepler?
When you said "you'll have to wait until next episode for that" i was like "nooooooooo! I can't wait!"
Same! I literally said "Nooooo" out loud, even though I know the math, I have not heard this history in so much detail before. I can't wait for next time
No, I won't watch.
Same here!
I was counting on hearing the word barycenter as soon as the 'equant' idea came up. I had a similar reaction when the episode ended.
Kepler's Astronomia Nova is freely available as a PDF file online. In its one and only translation to English in 1939. 330 years after its original publication. I suppose because only by the 1930s enough Englishmen had become uneducated enough to no longer be able to read the original.
It is quite readable even today. And Kepler uses some sense of humor in it as he describes his laborious process with its setbacks and sudden insights. It is written at the time of Shakespeare! People wrote in an accesible way back then.
Kepler's quote about his own work is right up there with Sir Issac Newtons famous "This theory takes for granted a force that works instantly across infinite distances. Only a madman would belive such a thing" criticism of his own model of gravity that stood for 200 years before Einstein expanded it.
All models are wrong, some are useful.
@@SahilGhosh no hes right
@@paradox9551 I don't give a damn what anybody else thinks, you are absolutely correct. (I believe I heard a similar quote from a famous scientist)
There are two more underrated quotes from Newton. In one quote he says if Gravity works on masses why can't gravity bend light? He was open to the view that light "a massless" entity could be affected by gravity.
@@paradox9551 That is a fundamental axiom of the scientific method. You make observations, then you build a model, then you make predictions based on that model and go test them. The model that violates the least observations is accepted until something better comes along.
Today we are at the point that most models are perfectly adequate for all engineering work, outside the scientific endeavour of building new scientific instruments to further advance physics. That makes most models either useful, very useful or completely indispensable to our everyday lives.
So basically, Kepler performed a manual gradient descent to find the right parameters for his model, lol.
Yeah basically!
1. ignores greek philosphers
2. ignores incorrect church based models
3. manually does gradient descent for his own model
4. still admits the model is wrong
5. steals his late boss' documents to remodel the entirety of astronomy
6. ends up being right
Kepler is such a chad
@@miepic3291 And he complained about Tycho Brahe having used an unsuitable coordinate system (or however it was) forcing Kepler to recalculate every obseravtion adjusting for the atmosphereic refraction, depending on the inclination of Mars and the stars the angle of which its position was measured to. Before even making the data "raw" for his purposes.
He complained much about the endless calculations. But his moment of truth was when the same number turned up more than once. Turned out to be the difference between Mars perihelion and aphelion! As I remember reading him, it was the repeating number that got him intrigued, before he realized what it could mean.
Writing down figures in tedious calculations day and night. Getting a bit funny in the head and imagining a pattern in the mess. And it turns out to be something real!
Later someone wrote him asking him to do the same for Saturn:
"- F_ H_ No!! Go F_ Yourself!" /K
@@miepic3291he also wrote a science fiction story + his mother was accused of witchcraft.
@@miepic3291Copernicus has entered the chat 😂😢
Nobody has ever explained Kepler's discovery process in this much detail ever before. All textbooks and videos just gloss over it and skip to the final result. Thank you for this wonderful work :)
Johannes Kepler is my favorite machine learning algorithm.
Does ML include Steepest-Descent, Newton-Raphson and Fixed-Point-iteration too now? That makes ML is a pretty big umbrella-term. We used to call those iterative numerical methods as opposed to analytical methods in mathematics.
@@richardbloemenkamp8532 Yes, machine learning has become a very broad term now.
@@richardbloemenkamp8532 I think he is referring to Kepler's brain
@@richardbloemenkamp8532 given that he lived before calculus, no
@@richardbloemenkamp8532 I mean regression is considered a ml concept so sure this is done by a machine would probably qualify as it learns the weights
I find it astonishing that Kepler came up with the laws of planetary motions BEFORE the invention/discovery of calculus 🙌🙌🙌
The fact that Kepler's model agreed so well with Brahe's measurements, but still ended up being wrong, goes to show that it is dangerous to fit a model with so many free parameters to so few data points!
I named my cat Kepler. He thinks my life revolves around him.
So.. feliocentric? I will let myself out...
@@hillaryclinton1314 Bravo
Yea but Kepler didn’t think life revolves him…he was not a geocentrist…?
His theory postulates that attraction is equal to the quantity of food squared. He constantly lives in a quantum superposition of both fed and starving.
This is so cool! The idea of doing all this by hand without any digital instrumentation or computation is incredible.
@@busimagen Well maybe not all the time in this case! It’s not that hard to figure out (moreso if it’s okay to figure it out to 90% and leave the rest for later) when you already have it and are a proficient mathematician. I hope. Also I hope in that situation the rule wouldn’t just fall from the skies but somebody could’ve been there and dropped a word or two. Or just logarithm tables which I think in our own history always came with instructions.
Those guys were genuine geniuses ... And very patient too.
Brahe had his own instrument makers at his Uraniborg observatory, I bet that idea would have catched on quickely and be distributed around the scholars of Europe in no time. Edit: just looked up the history of the slide rule, it was invented about 10 years before Keplers death.
Kepler BRUTE FORCING his Mars calculations is kinda badass
Small mistake at 11:40: The years for Ibn al-Shatir should be AD, not BC.
Excellent video, a very interesting explanation of the sort of measurements and reasoning that (I assume, discussed in the next video) ultimately led Kepler to arrive at the important missing conclusion from Copernicus' heliocentric model: The orbits of the planets are slightly elliptical, not perfectly circular. But I hadn't ever even heard about equant, and it surprises me, because of how close it gets to the idea of elliptical orbits.
The question is why Moon was neglected in favor of planets. Distance to the Moon can be measured accurately both in relative and absolute terms by triangulation and apparent angular size and it completes twenty times as many revolutions than Mars thus accumulating observation data much more rapidly
This is a good question. The main reason is that there is no “retrograde” motion of the Moon observed from the Earth (that was measurable with 1600s technology). This is in addition to the Moon’s low eccentricity which made it fit well with the idea of circular orbits (as opposed to non-circular ellipses)
Just a guess...
To us it is quite straightforward that the same laws apply to all celestial bodies, because we know that for fact. Yet, to the naked eye of a 15th century astronomer the huge circular face of the moon looked nothing like those little wandering specks in the night sky, called "planets". So I can understand that noone even thought about going for the moon's motion first an then applying the moon's laws to the planets.
I love the story from how we went from our ancient understanding of the planets to our current model of the Solar system. It spans thousands of years and so many brilliant minds. There is something beautiful about retracing those steps and watching our understanding of the universe evolve over time. Thank you for covering it! Very excited for the next video
Ancient observation
Potelmy
Galileo
Copernicus
Newton
Einstein
Along with centuries of observation
Outstanding work! I love the vibe of these old-timey book illustrations. Kepler's crazy 3d frame looking thing MC Escher drawing belongs on a psychedelic rock album cover
I should do a poster!
@@WelchLabsVideo yes pls!
@@WelchLabsVideohave you looked into the the geocentric model proposed by Robert sungenis
5:06 Hi to your cat! :)
This is jaw-dropping good content; a masterpiece in the form. I've never seen such a complete yet concise exposition. And the integrated graphics are top-tier.
7:40 That right there is the money shot. The sublime animation graphics & explanation are the USP of this channel.
Told me stuff I never knew (but which random dudes in C16 had figured out), and has the grace to actually break the complex geometry down to a level I can grasp.
Should be mandatory in every school.
Wrong kind of vein. It should be "Don't let me die in vain."
Mayhap they were using the olde spelling? ;)
Really clear graphics and story of the logic.
Fantastic video, excited for part two!!
I would LOVE to learn the research process you go through to make these videos. Or become an assistant to collaborate. Total admiration for your amazing work
extremely excited for the next part. This is so much more complete and fascinating than most retellings that summarize and gloss over in order to get to the conclusions more directly
The Mechanical Universe indeed.
Copernicus
Kepler
Jim Blinn
You have made a beautiful film here.
Thank you
Oh my word, what a fantastic treatment of this subject. The animations are perfect at explaining these complex ideas. You’ve definitely earned a follower here. Bravo!! 🎉
I've been waiting for this video for 2 decades. Thanks!
Hi Stephen! I've recently discovered your channel and I can honestly say that it blew my mind. The way you are capable of explaining complicated things in an easy-to-grasp manner, the overall quality of the visualizations, the books you show, and the stop-motion sections are all AMAZING. It has quickly become one of my favorite science channels, I've binge-watched most of your videos! It's not often that I comment on UA-cam videos, but this time I just had to do it. Keep up the great work, mate! Oh, and as a side note, I really would appreciate it if you could take some time to put up links in the description to the music you use on your videos. I recognize some (mostly Satie Gymnopedies/Gnossienes), but I'd love to see a WelchLabs background music playlist :)
Loved it! Really appreciate that all the animations are with a black background
Great video. Minor spelling error at 1:38: the expression is to not die in VAIN, not vein (which refers to were blood flows and minerals are extracted.
Excellent. Thank you for doing this. Incredible amount of work.
This level of detail is amazing, keep up the good work, subbed
This was an incredible video! Combinations of video and animation were stellar
having done a highschool course on astronomy that was basically just sides and worksheets, going into depth about kepler’s laws is extremely interesting and i’m already excited for the next ep
Woohoo!
your video(s) is ,by far, the best explained and the videos convey the concept clearly! You do a great job on your videos!
Fantastic story teller and oration. History motivated learning further enhances understanding. Thank you for the enlightenment!
i love your videos so much! so well done!
Wonderful video, I love it! Can’t wait for part two 😊
really love your content. history of science is always so fascinating when told well, and you deliver!
Unbelievably amazing story telling! Hats off sir!
amazing video! we need the next part!!!
It is so good to see you doing this awesome work Stephen. You have been a massive inspiration for my channel. Years ago I watched your "Imaginary Numbers are Real" series and it was a mind blowing experience. I realised after watching it that the best and most enjoyable way to understand complex topics is to study the history of their evolution. So I started reading about the history of different ideas and decided to make videos about them. Thank you for being such an inspiration and for continuing the great work. I am really looking forward to your next video!
I really enjoy this stuff because it provides much needed context behind historical advancements and discoveries. Unfortunately science is often taught like magic. No wonder people are skeptical. If someone tried to teach me the physics of 3024 AD without mentioning all of the advances from now until then, I'd be pretty skeptical too.
Wait, I found a better analogy. It's like reading a research paper but everything except the conclusion is missing.
These history of science videos are awesome!
Great video!
Thanks!
Both are amazing: The video and Kepler.
Thank you.
Incredible research and explanation. Great work on the visuals, without which we'd be lost in the math.
@Welch Labs just to keep you up to date man your short about the Ptolemaic model is what drew me here... so the shorts are working. Subscribed
Amazing thanks for the info - that really is helpful.
That’s quite the cliffhanger. Thanks for making such great visuals.
Great video! Really explains the fundamentals
Cool ending
Excellent video
What! Left on a cliffhanger! I had read a little bit of this history before, but I didn't know the details. I can't wait for the next video!
"... not to have died in vein" - clearly they did not have spell check for text graphics in 1601
Tycho Brahe died on Ven, the small Danish island where he had his home and observatory.
@@bjorntorlarsson He die in Prague.
@@koharaisevo3666 I know. The Swede's looted his grave during the 30 years war!
Amazing video! You are getting some details which aren´t even in Cosmos' explanation, which I always found the best of youtube. And now I´m so invested for part four! I teach physics, and I will probably be using this video in the future, at least for the more advanced students.
It is also really fascinating how Kepler spent a year doing a computation, that a physics bachelor student with a basic knowledge of Python could do in an afternoon today.
Putting Kepler's picture on an elliptical frame is tight... 😉
Great videos as always!
nice editing and visuals!, really helpful when showing noobs about frame of reference transitions.
Love it! Thank you
I usually dislike when we are told just at the end that the video is incomplete and left with a cliffhanger.
But your presentation was so well done that instead I immediately subscribed. Great video!
Great work
Insta subscribed!
Can't wait for next episode!
this is SO cool. Thanks for your awesome videos.
This is such an awesome video! I always wanted to know what was going on during that time
This is very interesting. When I was in college I watched the Carl Sagan Cosmos episode about Kepler and I was really inspired. I made a POVray image of Kepler's first cosmological model.
this video is fantastic! - love from an italian physics student
Honestly I feel like I found a channel similar to veratasium or VSauce. Rare but awesome and informative in an interesting way.
Keep up the good work
The return of the best youtube channel
amazing story history super didactic presentation.
Well Done, you're quite the astronomy-historian;
It's quite unbelievable that people stuck on earth with little/no technology could figured-out how the planets moved millions of miles away.
In the end, all motion is relative & sun-centered planet orbits just makes the math easiest
This is an amazing video
I can't wait for the second part
Techo was an exentric guy. Falce nose. Kept a pet moose which got drunk at parties, and died from not going to the bathroom for too long. What's interesting is that he had good reason from rejecting the heliocentric model. You see, if we went around the sun, then there would be parallax with the stars. There is though. But the distance was simply too vast to measure it with him equipment.
What a truly awesome video. Are the books you show (like in this one the Astronomia Nova) bought from somewhere or do you print and bind them?
Bind them myself - wish I could buy them somewhere!
Good stuff
This is a great video for a few more that are now possible. To retrace observations of mars ,to show how to collect the data. How to measure the data that's required and why . 2D and 3D models showing the angles , the devices these individuals used to make accurate measurements of that time. To show of were they using the same methods . Essentially ,to get into the shoes of these very brilliant scientists. To show the details of their models and math. You could do a complete series showing all of this.
Thanks, I think this will be helpful for my physics students next semester.
Man I subbed as soon as I saw the time lapse you did with Stellarium at the start of the video, very nice
Thanks! Yeah that was a bit tricky!!
Oh wow, you're alive. Nice to see
Awesome. I wish this could be converted to a series of sorts; a sub-channel maybe where you'd tell how things were discovered. It sure does have a long list, but an extremely interesting one at that.
Amazing what could be figured out even without the telescope
Frustrating that this only has 10k views a day in. All your videos are excellent.
bro your videos are amazing for late night and you're high AF, please continue making this content ahahahahahaha
Now that's a cliffhanger!
Thats a better cliffhanger than all marvel films!!
Can't wait for ellipses!
Here's one professional astronomer congratulating you on an excellent video. Well done. Looking forward to the next video and hoping to see the quote: "Ah, what a foolish bird I have been!"
11:27 Correction needed - Ibn al Shatir's birth years should be AD, not BC (1304-1375 AD)
What?! ... I have to wait until next episode? 😂😂😂
That’s actual Harrison county TX, Harris county would be near Houston, I actually live west of Marshall Tx in a little town called Hallsville, which is in Harrison County.
That’s neat that your kin is from my neck of the woods, all my family on my father’s side “Oney” is from Marshall Tx
This is a spectacular video, don't know exactly why tho
This reminds me of Quantum mechanics.
It is correct to all known experiments to a high level of precison, but its foundations are not understood.
The fact that Mars' speed of orbit is constantly changing according to observation should act as a clue that the correct answer is NOT the simplest one. We would expect different speeds though if Mars was rotating around multiple bodies of different masses.
11:11 bro had the chance to discover gravity but missed it instead💀
such good
If you want more Kepler, then you should read "The Sky's Dark Labyrinth" by Stuart Clark. It is an excellent novelization of the lives and struggles of Kelper and Galileo. A very enjoyable read.
Well, that was interesting
Bro rly left us on a cliffhanger for shit that was done 400 years ago
Tycho Brahe, a Dane, writes in a letter to an astronomer colleague having visited him (a German, who are for some reason crazy about elks) that he can unfortunately not sell his tame pet elk to him. Because it drank too much beer and fatally fell down the stairs.
Tycho Brahe had a silver nose after a duel that he won by a close call!
Johannis Kepler defended her mother in a court accusing her for witchcraft. But later he wrote "Somnium", the first scifi novel ever(!) about how he travelled to the Moon, using his mother's witchcraft!!! (Using a magic mushroom as breething aggregate, btw, however he could know that space was airless... recommended reading "Somnium".)
And you know about Galileo Galilei provoking the pope and such.
Such were the scientists who founded modern astronomy! They had strong personal character. And by the way, all three of them made their living as ASTROLOGERS predicting good dates for marriage and such for their rich clients. Those were the days.
Theft furthers our understanding of the universe.
10:33 now add planets moving in elliptical paths (because of the sun trying to get away..)
very interesting