Develop a script to produce a movie for the butterfly plot from Prob. 2.22. Use a particle located at the x-y coordinates to visualize how the plot evolves in time.

Data From Problem 2.22

Develop a function to produce an animation of a particle  moving in a circle in Cartesian coordinates based on radial  coordinates. Assume a constant radius, r, and allow the  angle, θ , to increase from zero to 2 in equal increments.  The function’s first lines should be

function phasor(r, nt, nm)
% function to show the orbit of a phasor
% r = radius
% nt = number of increments for theta
% nm = number of movies

Test your function with
phasor(1, 256, 10)