Download the file to a directory or folder on your system.
You can download the Matlab file at the following link. Matlab FilesĪlthough the following file features advanced use of Matlab, we include it here for those interested in discovering how we generated the images for this activity. Save the file as script2.m and execute by pressing F5 in the editor. These will execute as soon as the comet animation is complete. In order to obtain a plot that will print, we added a plot command and some annotations. We added a comet(x,y) command to animate the plot.Adjust the 2000 upward if the animation is too fast, downward if the animation is too slow. The linspace command is used to generate 2000 equally spaced points.Semicolons are used to suppress the output. First, use Matlab's linspace to generate 100 equally spaced points on the interval ``, then generate the corresponding `r`-values. We can use Matlab's polar command to plot the graph of this equation on ``. The `r` represents the radial distance from the origin and the `theta` represents the angle made with the horizontal axis (counterclockwise being the positive direction).Ī simple trigonometric definition describes the relation between Cartesian and polar coordinates.Ĭalled the four-leaf rose. In polar coordinates, we mark the point `P` with the coordinates `(r,theta)`.
In the Cartesian coordinate system, the coordinates of the point `P` are `(x,y)`. In addition, we've marked the angle made with the horizontal axis as `theta`. We've drawn a segment from the point `P` to the origin and marked its length as `r`.
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