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NDSolve in 3D

  • To: mathgroup at smc.vnet.net
  • Subject: [mg126295] NDSolve in 3D
  • From: Niles <niels.martinsen at gmail.com>
  • Date: Sun, 29 Apr 2012 02:10:28 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi

I am trying to solve Newtons equation for a particle in (x, y, z), and here is what I have:

sol = NDSolve[{
    x''[t] == acceleration[x'[t], y[t], z[t]],
    y''[t] == acceleration[y'[t], x[t], z[t]],
    z''[t] == 0,
    x[0] == 0, x'[0] == 0, y[0] == 0, y'[0] == 0, z[0] == 0, 
    z'[0] == 250},
    {x[t], y[t], z[t]}, {t, 0, 1}];

There is only a force acting in the (x, y)-direction, and the z-component is just constant (not accelerating). When I plot the solution using

ParametricPlot[{x[t], x'[t]} /. sol, {t, 0, 0.001}, 
 PlotRange -> {{0, 0.35}, {0, 5}}, AspectRatio -> 0.75] 

the plot is empty. Is my syntax in NDSolve correct?


Best,
Niles.



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