       Re: pursuit curve (differential equations)

• To: mathgroup at smc.vnet.net
• Subject: [mg72874] Re: pursuit curve (differential equations)
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Tue, 23 Jan 2007 05:30:28 -0500 (EST)
• Organization: The Open University, Milton Keynes, UK
• References: <ep1sq1\$g13\$1@smc.vnet.net>

```Trijezni Pijanac wrote:
> hi i am doing pursuit curve in mathematica.. for instance, fox is chasing a
> rabbit - rabbit has a certain defined path (for example - a circle
> {cos(t),sin(t)}. fox always heads directly toward the rabbit.
>
> k - relative speed fox/rabbit
> p,q - rabbit's path (for instance a circle {cos(t),sin(t)}
> x,y - fox's path
> t - time :)
>
> soln = NDSolve[
>       {
>         x'[t] == k.Sqrt[p'[t]^2 + q'[t]^2].(p - x[t])
> 		/Sqrt[(p - x[t])^2 + (q - y[t])^2],
>         y'[t] == k.Sqrt[p'[t]^2 + q'[t]^2].(y - q[t])
----------------------------------------------^
Missing variable: must be written y[t]

> 		/Sqrt[(p - x[t])^2 + (q - y[t])^2],
>         x == poc0[],
>         y == poc0[]
------------------^^^^^^^^^
What are the numerical values for the 1 by 2 vector poc0?

>         },
>       {x[t], y[t]}, {t, t0, t1}];
--------------------------^^--^^
What are the numerical values for t0 and t1?
>
> but this wont work, any suggestions?
>

Regards,
Jean-Marc

```

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