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!