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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