This is a really helpful video. I tried rewriting keplers equations in 3 dimensions, which i thought would be an easy extension from what you did - 3 2nd order ODE's means 6 1st order ODE's with 6 initial conditions - but it was not easy. Why don't you consider the gravitational parameter, mu, in your example for keplers equation? I find when i add mu to your code, then the graph falls apart.
@arpangarg6112 Жыл бұрын
Excellent
@LaplaceAcademy Жыл бұрын
I am glad that I could help you.
@mohamed__sherif Жыл бұрын
Great Video
@LaplaceAcademy Жыл бұрын
Thanks!
@pawejerzyna56747 ай бұрын
this video was put simply, thanks
@LaplaceAcademy7 ай бұрын
You're welcome.
@nauleshkumar870310 ай бұрын
short and handy videos, thanks
@LaplaceAcademy10 ай бұрын
You're welcome. I'm glad you liked it
@PymGordonArthur Жыл бұрын
Thanks for the upload.
@LaplaceAcademy Жыл бұрын
I'm glad I could help you 🏌️
@hammaminadjima3813 Жыл бұрын
Hello. Thanks for the nice video. I would like to know how can we solve a boundary value problem. I mean if the initial condition is at the non-zero value of an independent variable.
@LaplaceAcademy Жыл бұрын
Hi. Thanks for your comment. Here's the link to another tutorial. I hope it helps you. kzfaq.info/get/bejne/ZpNmf6x1ms2-mIU.html
@Vlad.0073 ай бұрын
last initial condition for Kepler equations that you provided is sqrt of a negative number so how does it work?
@LaplaceAcademy3 ай бұрын
The variable 'e' is always smaller than 1. So the initial condition is not going to be sqrt of a negative value.
@fabjulian792610 ай бұрын
insane, thank you so much!
@LaplaceAcademy10 ай бұрын
You're welcome
@tamannaahuja86404 ай бұрын
Thanks for the video but in my matlab it’s showing “execution of script ODEE45 as. a function is not supported. Please help
@aajamerepyar45863 ай бұрын
how to plot y' vs y and y' vs x in the ode45
@mathematics__077 ай бұрын
Sir please tell about cauchy problem
@faridnajafzadehasl6315 Жыл бұрын
Perfect
@LaplaceAcademy Жыл бұрын
Thanks mate
@user-yz6ho8fx8j Жыл бұрын
yeah nice video, but how do i get the actual equation for u and v? isn't that as well the actual solution of the differential equation?
@LaplaceAcademy Жыл бұрын
Not every differential equation has an analytical answer. But you can always try. Learn how to use dsolve command for the exact solution of ODEs. Here's the link: kzfaq.info/get/bejne/os9-aqZqq9mdlas.html