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Re: pursuit curve (differential equations)
*To*: mathgroup at smc.vnet.net
*Subject*: [mg72863] Re: [mg72843] pursuit curve (differential equations)
*From*: Murray Eisenberg <murray at math.umass.edu>
*Date*: Tue, 23 Jan 2007 04:43:12 -0500 (EST)
*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst
*References*: <200701220847.DAA17062@smc.vnet.net>
*Reply-to*: murray at math.umass.edu
What's poc0?
Why use a dot? Don't you mean a simple multiplication (denoted by * or
just juxtaposition with no symbol)? After all, p, q, x, and y
presumably are already scalar-valued, not vector-valued.
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])
> /Sqrt[(p - x[t])^2 + (q - y[t])^2],
> x[0] == poc0[[1]],
> y[0] == poc0[[2]]
> },
> {x[t], y[t]}, {t, t0, t1}];
>
> but this wont work, any suggestions?
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
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