Apologies if this question has been asked elsewhere / is a stupid question.
I'm fairly new to Mathematica syntax and doing a Mathematica-heavy project so any help will be much appreciated.
Basically I'm doing a simulation of scattering of particles. I have two equations regarding the x and y accelerations,
x''[t] == ( k x[t]/(x[t]^2 + y[t]^2)^(3/2) ), y''[t] == ( k y[t]/(x[t]^2 + y[t]^2)^(3/2) )
Using
path := NDSolve[ {x''[t] == (5.48147 x[t]/(x[t]^2 + y[t]^2)^(3/2)),
y''[t] == (5.48147 y[t]/(x[t]^2 + y[t]^2)^(3/2)),
x'[0] == 155000000, y'[0] == 0, x[0] == -10*10^-15,
y[0] == 5*10^-16}, {x[t], y[t]}, {t, 0, 10^-22}]
and
ParametricPlot[Evaluate[{x[t], y[t]} /. path], {t, 0, 10^-22},
PlotPoints -> 1000]
I've managed to plot the correct graph. However, I need to find the x and y co'ordinates for a given value of t. I don't have any real idea of where to go on this and have been stuck on this for a while, I'd really appreciate it if anyone could help me on this.
