Recent content by VexCarido

Because the equation of the two body problem is what is known as a transcendental equation, and those often do not have a closed form solution. https://en.wikipedia.org/wiki/Transcendental_equation. It is solvable though, but only using iterative calculation or geometry. If you just want to...

Figuring out the position of the target as a function of time is not the hard part, this can be done very simply by rearranging the 2D equation for the trajectory of a projectile to account for the added z axis. Or by implementing the Euler method to approximate the trajectory instead. It's...

Looking for some guidance on how to set up the equations for a projectile intercept given that you have perfect information about the target velocity, size and weather conditions in a 3D scenario, it's for an amateur videogame that I'm developing in my spare time For simplicity sake let's...

I have been thinking that Excel serves as a very sound starting point for my practice in scientific programming & creating physics simulations. It is very suitable as you are working at a truly fundamental level with all the equations of physics without the need for knowing additional coding...

No, that particular site escaped my search and it does in fact provide some very useful info. Thanks. Only problem is that it deals with RK2, not 4. Hopefully I will be able to deduce the logic behind it and modify it to suit a forth order approximation instead.

Unfortunately the video skips a couple of steps in relation to my question and I have looked at other videos that also seem not to mention how I get the function of the ODE from a set of initial conditions. In this video he uses f=3X^2Y. If I need to go from the information(Example); Starting...

I thought it may have been clear from OP, but it may have been too broad. I'm trying to get an understanding of how to relate a set of initial conditions to the evolution of motion, using the RK4 method, in a similar fashion to what you would do with the Euler-Cromer method. That is, I have an...

Hi everyone. I'm a new member, great to be here:) I have a few questions that I wanted to ask you guys regarding the method by which we implement the Runge-Kutta approximation of Projectile Motion if we should do it using a numerical iterative method with a Spreadsheet like Excel. I have...

I'm a current physics student and I have a hope that I can improve my Physics knowledge and my overall mathematical skill set, by following along here:)