Polar plot gets cropped

General Usage
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1

Hello,

I’m trying to plot the trajectory of an object falling in a central gravitational potential well. The plot is obtained using the relation between r and θ by running the following code in the Jupyter notebook:

using Plots

ε = 1.0; k = 0.2
s(θ) = 1/k*(1+ε*cos(θ))
plot(θ -> 1/s(θ), 0, 2π, proj=:polar, lims=(0, 15))

When setting ε = 1.0, the trajectory has to be a parabola.

The problem is with the lims parameter of the plot function. When setting lims=(0, 15), I get a good plot of a parabola. However, if I set the upper limit to a smaller value (lims=(0, 10) for example) in order to zoom-in on the part of the plot close to the origin, the parabola disappears and I only get two little dashes at the edge of the graph.

Any ideas on what is causing this problem and how mitigate it?
Many thanks in advance!

2

Can’t reproduce, perhaps just a version problem:

julia> versioninfo()
Julia Version 1.5.3
Commit 788b2c77c1 (2020-11-09 13:37 UTC)
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: AMD Ryzen 9 3900X 12-Core Processor
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-9.0.1 (ORCJIT, znver2)

(@v1.5) pkg> st
Status `C:\Users\oheil\.julia\environments\v1.5\Project.toml`
  [91a5bcdd] Plots v1.9.1

grafik

3

Thanks for the reply. Actually I just found out that it is a problem with Jupyter. Running the same code in the REPL gives the desired result with no issues.