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BASIC CALCULUS proof of KEPLERS FIRST LAW - You will never believe this method!!!! 

Path Integrator
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25 окт 2024

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Комментарии : 31   
@GicaKontraglobalismului
@GicaKontraglobalismului 10 месяцев назад
It is very nice the information appears gradually, albeit a little bit fast, as it would be written by hand on a board. The nice animations being integrated with the mathematical derivation creates a wonderful presentation.
@thepathintegrator
@thepathintegrator 10 месяцев назад
I am so happy to read your comment :) thank you so much for your appreciation, it’s absolutely amazing to see how you enjoyed it. I will also try in the future to slower my pace a bit. I’m always worried that you guys might get bored to easily because :)
@The9thDoctor
@The9thDoctor 10 месяцев назад
Fantastic video! I've added it to my math playlist
@thepathintegrator
@thepathintegrator 10 месяцев назад
Thank you so much ☺️ I’m happy you enjoy it that much :)
@ryanchowdhary965
@ryanchowdhary965 2 месяца назад
Physics would be more appropriate, math used here is rather standard.
@WolfgangFeist
@WolfgangFeist 10 месяцев назад
Thanks, good to have that available on youtube! (Well, there's a lot of technical stuff in there; so, while the proof is 'clear', it still das not 'convince' someone 'obviously' of the relation between the 1/r²-law and the ellipse. Is there an easier way to realize this? Maybe starting with the special circular solution and disturbing it?
@thepathintegrator
@thepathintegrator 10 месяцев назад
Thanks so much for your appreciation. I didn’t know this doesn’t already exist here on RU-vid. I think there are easier proofs of course but I liked that one specifically since it uses theoretical physics concepts and calculus.
@yagof6365
@yagof6365 10 месяцев назад
In Stewart's book there is a faster proof using vector calculus with derivatives. Awesome video. Tks
@thepathintegrator
@thepathintegrator 10 месяцев назад
What’s the title? I would like to take a look into that thanks for the tip :)
@matchamitminze
@matchamitminze 10 месяцев назад
⁠​⁠@@thepathintegrator If I remember correctly, it’s James Stewart’s “Calculus,” and the chapter with the derivations for Kepler’s 1st, 2nd, and 3rd laws should be under Chapter 13, “Vector Functions,” under the section “Kepler’s Laws of Planetary Motion.” I think there’s a PDF floating around online that has the entire chapter that you can view without having to purchase the textbook. :)
@thepathintegrator
@thepathintegrator 10 месяцев назад
@matchamitminze amazing thanks so much for the info! :)
@cleon_teunissen
@cleon_teunissen 4 месяца назад
@@thepathintegrator In case you haven't had an opportunity to look it up: Chapter 13 of Stewart's book is now available on math.libretexts. Title: 'Calculus - Early Trancendentals' (The overview page still has a 'currently under construction' notification. In any case; Chapter 13 is there, including section 13.4 with the discussion of deriving Kepler's first law using vector calculus.)
@09neptune
@09neptune 4 месяца назад
do the 2nd and 3rd law
@mlllh311
@mlllh311 6 месяцев назад
hi, what source did you use for this proof? I would like to use this method for my assignment, but I can only do that if I have the real source, from an article, a text or something else :(
@thepathintegrator
@thepathintegrator 6 месяцев назад
I got the idea from Landau’s Theoretical Physics 1, a book on classical mechanics. Hope that helps :)
@mlllh311
@mlllh311 6 месяцев назад
@@thepathintegrator thanks I will look for it!
@mlllh311
@mlllh311 6 месяцев назад
I found it thank you so so much - I really appreciate it!
@qedmath1729
@qedmath1729 7 месяцев назад
why is phi dot constant at 7:59?
@zakiabg845
@zakiabg845 10 месяцев назад
Who discoverd the calculas first newton or libinez ?
@thepathintegrator
@thepathintegrator 10 месяцев назад
Hard question hahaha I would say newton already gets so much credit let’s give some to Leibniz 😅
@zakiabg845
@zakiabg845 10 месяцев назад
@@thepathintegrator 😂🤣.
@thunderex4446
@thunderex4446 5 месяцев назад
We in india learn them in 12
@thepathintegrator
@thepathintegrator 5 месяцев назад
That’s very cool that you learn that in school
@ryanchowdhary965
@ryanchowdhary965 2 месяца назад
​@@thepathintegratorum, Kepler laws are in class 10 and 11 in gravitation chapter, although mathematical proofs shown here are not available in our state books atleast.
@razikarazi266
@razikarazi266 10 месяцев назад
It's hard to see the color blue
@thepathintegrator
@thepathintegrator 10 месяцев назад
Oh thanks for the feedback I think I’ll change that in the next one to something brighter :)
@tiwariabhinay868
@tiwariabhinay868 10 месяцев назад
subscribed
@thepathintegrator
@thepathintegrator 10 месяцев назад
Thank you and welcome on board 😊🙏
@mikecaetano
@mikecaetano 10 месяцев назад
All the way to eta! 👍
@thepathintegrator
@thepathintegrator 10 месяцев назад
Very nice 👍:) almost at the end
@jacobvandijk6525
@jacobvandijk6525 4 дня назад
''YOU WILL NEVER BELIEVE THIS METHODE!!!" You are salesman, not an educator.
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