       Re: pursuit curve (differential equations)

• To: mathgroup at smc.vnet.net
• Subject: [mg72856] Re: [mg72843] pursuit curve (differential equations)
• From: "Nabeel Butt" <nabeel.butt at gmail.com>
• Date: Tue, 23 Jan 2007 04:15:03 -0500 (EST)

```Hi Pijanac,
http://mathworld.wolfram.com/PursuitCurve.html
It also has a mathematica notebook that can solve your problem.
regards,
Nabeel

On 1/22/07, Trijezni Pijanac <trijezni.pijanac at gmail.com> 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])
>                /Sqrt[(p - x[t])^2 + (q - y[t])^2],
>        x == poc0[],
>        y == poc0[]
>        },
>      {x[t], y[t]}, {t, t0, t1}];
>
> but this wont work, any suggestions?
>
>

--
Nabeel Butt
LUMS,Lahore

```

• Prev by Date: How it can be autoloaded an standard package using Mathematica link for EXCEL 3
• Next by Date: Re: pursuit curve (differential equations)
• Previous by thread: Re: pursuit curve (differential equations)
• Next by thread: Re: pursuit curve (differential equations)