I'm trying to create a list of "snapshots" of the function ListPolarPlot to create a exportable gif or animation. My attempt is somewhat taken from this answer. The idea is to create this list of "snapshots" and then use the function ListAnimation to create the movie.

enter image description here

However, it gives the below error. My goal is to create a exportable gif or animation of this plot

enter image description here

The inputs theta and polarray are lists of angular and radial coordinates in polar coords, respectfully. They represent a numerical approximation of time-dependent planetary motion.

All suggestions would be greatly appreciated! Thank you in advance for any help!

  • 1
    $\begingroup$ Where are θ and polarray? $\endgroup$ Sep 10, 2017 at 4:13
  • $\begingroup$ They're the inputs for making the plot. They're just simple lists of doubles. EDIT: I suspect my issue is almost certainly that I poorly understand how to implement pure functions using #, &, @ etc. $\endgroup$
    – JeremyPenn
    Sep 10, 2017 at 4:14
  • $\begingroup$ try replacing & /@ {theta, polarray} with & @@@ {theta, polarray} $\endgroup$
    – Jason B.
    Sep 10, 2017 at 4:34
  • $\begingroup$ It θ and polararray are lists, you could replace {#1, #2} with {#[[1]], #[[2]]}, and {θ, polararray} with Transpose[{θ, polararray}]. $\endgroup$ Sep 10, 2017 at 4:38

1 Answer 1


Since the OP was unable/unwilling to produce the θ and polarray lists, I'm making my own:

orbit[θ_] = With[{a = QuantityMagnitude[PlanetData["Earth", "SemimajorAxis"]],
                  b = QuantityMagnitude[PlanetData["Earth", "SemiminorAxis"]]}, 
                 b^2/(a + Sqrt[a^2 - b^2] Cos[θ])]

θList = N[Range[0, π/2, π/32]];
rList = orbit[θList];

From there:

data = Transpose[{θList, rList}];
frames = Table[ListPolarPlot[Take[data, k], Axes -> None, Frame -> True, 
                             PlotMarkers -> Style["×", Large], 
                             PlotRange -> {{0, 1}, {0, 1}}, PlotStyle -> ColorData[97, 2]],
               {k, Length[data]}];

some cartoon

  • $\begingroup$ Thank you! This is exactly what I needed! $\endgroup$
    – JeremyPenn
    Sep 10, 2017 at 16:26

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