this question is by no means a new question, however previous questions have been unable to exactly answer my question. I'm attempting to obtain analytical results and then plot the results of a central field system when given the initial position and velocity of the particle. I know this is just an Initial Value Problem and I have already programmed a Runge-Kutta method, which I would hope to use, or even the scipy.linalg.solve_ivp. However, I don't know how to start properly. For my RK method, I can apply a (2,2) ndarray to my system then iterate, but I don't know what this matrix would take the form of, i.e. what would be the elements general form look like?
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