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VectorPlot on a Circle

• To: mathgroup at smc.vnet.net
• Subject: [mg114766] VectorPlot on a Circle
• From: "Dave Snead" <dsnead6 at charter.net>
• Date: Thu, 16 Dec 2010 05:49:46 -0500 (EST)
• References: <ie297c$mrj$1@smc.vnet.net> <201012130852.DAA09458@smc.vnet.net>

Hi,

I'm trying to do a vector plot but confine the vectors to a unit circle.

VectorPlot[
If[Abs[x^2 + y^2 - 1] == 0, {x, y}, {0, 0}], {x, -1, 1}, {y, -1, 1}]
only plots a couple of vectors, not the dense set of vectors that I want.

and 
VectorPlot[
If[Abs[x^2 + y^2 - 1] <.1, {x, y}, {0, 0}], {x, -1, 1}, {y, -1, 1}]
plots lots of vectors but they're on an annulus rather than a circle.

Is there any way to do this?

Or more generally is there any way to confine the vectors to a curve.
Or, kicking the dimension up by 1, can VectorPlot3D confine the vectors
to a surface?

Thanks,
Dave Snead

• Follow-Ups:
  • Re: VectorPlot on a Circle
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: VectorPlot on a Circle
    • From: Patrick Scheibe <pscheibe@trm.uni-leipzig.de>

• References:
  • Re: vector/matrix indexed from zero
    • From: Norbert Marxer <marxer@mec.li>