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.
@thepathintegrator8 ай бұрын
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 :)
@The9thDoctor8 ай бұрын
Fantastic video! I've added it to my math playlist
@thepathintegrator8 ай бұрын
Thank you so much ☺️ I’m happy you enjoy it that much :)
@ryanchowdhary96527 күн бұрын
Physics would be more appropriate, math used here is rather standard.
@WolfgangFeist8 ай бұрын
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?
@thepathintegrator8 ай бұрын
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.
@09neptune2 ай бұрын
do the 2nd and 3rd law
@yagof63658 ай бұрын
In Stewart's book there is a faster proof using vector calculus with derivatives. Awesome video. Tks
@thepathintegrator8 ай бұрын
What’s the title? I would like to take a look into that thanks for the tip :)
@matchamitminze8 ай бұрын
@@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. :)
@thepathintegrator8 ай бұрын
@matchamitminze amazing thanks so much for the info! :)
@cleon_teunissen2 ай бұрын
@@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.)
@thunderex44463 ай бұрын
We in india learn them in 12
@thepathintegrator3 ай бұрын
That’s very cool that you learn that in school
@ryanchowdhary96527 күн бұрын
@@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.
@qedmath17295 ай бұрын
why is phi dot constant at 7:59?
@mlllh3114 ай бұрын
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 :(
@thepathintegrator4 ай бұрын
I got the idea from Landau’s Theoretical Physics 1, a book on classical mechanics. Hope that helps :)
@mlllh3114 ай бұрын
@@thepathintegrator thanks I will look for it!
@mlllh3114 ай бұрын
I found it thank you so so much - I really appreciate it!
@razikarazi2668 ай бұрын
It's hard to see the color blue
@thepathintegrator8 ай бұрын
Oh thanks for the feedback I think I’ll change that in the next one to something brighter :)
@zakiabg8458 ай бұрын
Who discoverd the calculas first newton or libinez ?
@thepathintegrator8 ай бұрын
Hard question hahaha I would say newton already gets so much credit let’s give some to Leibniz 😅