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

[@GicaKontraglobalismului]

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]

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]

Fantastic video! I've added it to my math playlist

[@thepathintegrator]

Thank you so much ☺️ I’m happy you enjoy it that much :)

[@ryanchowdhary965]

Physics would be more appropriate, math used here is rather standard.

[@WolfgangFeist]

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]

Thanks so much for your appreciation. I didn’t know this doesn’t already exist here on KZbin. I think there are easier proofs of course but I liked that one specifically since it uses theoretical physics concepts and calculus.

[@09neptune]

do the 2nd and 3rd law

[@yagof6365]

In Stewart's book there is a faster proof using vector calculus with derivatives. Awesome video. Tks

[@thepathintegrator]

What’s the title? I would like to take a look into that thanks for the tip :)

[@matchamitminze]

⁠​⁠@@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]

@matchamitminze amazing thanks so much for the info! :)

[@cleon_teunissen]

@@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.)

[@thunderex4446]

We in india learn them in 12

[@thepathintegrator]

That’s very cool that you learn that in school

[@ryanchowdhary965]

​@@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.

[@qedmath1729]

why is phi dot constant at 7:59?

[@mlllh311]

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]

I got the idea from Landau’s Theoretical Physics 1, a book on classical mechanics. Hope that helps :)

[@mlllh311]

@@thepathintegrator thanks I will look for it!

[@mlllh311]

I found it thank you so so much - I really appreciate it!

[@razikarazi266]

It's hard to see the color blue

[@thepathintegrator]

Oh thanks for the feedback I think I’ll change that in the next one to something brighter :)

[@zakiabg845]

Who discoverd the calculas first newton or libinez ?

[@thepathintegrator]

Hard question hahaha I would say newton already gets so much credit let’s give some to Leibniz 😅

[@zakiabg845]

@@thepathintegrator 😂🤣.

[@tiwariabhinay868]

subscribed

[@thepathintegrator]

Thank you and welcome on board 😊🙏

[@mikecaetano]

All the way to eta! 👍

[@thepathintegrator]

Very nice 👍:) almost at the end