Oh no, you used the right name. It's just that there are a lot of LPEs, and for some reason, I forgot about the PAP LPE.
But anyway, I did
sort of make it work! I used the Interpolate Sub-Paths LPE. Draw a large circle and a small circle, spaced some distance apart. Object to Path, then Path menu > Combine. With the circles selected, Path menu > Path Effect > Interpolate Subpaths > Add. That will automatically make 5 more circles which are sized gradually from large to small. You can add more Steps to get more circles. Deselect, then select with Selection tool
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Go to Path Effects editor, and click the
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buttom that's right beside "trajectory". Now you'll see the green trajectory path. Click on it to select both of it's nodes. Then click Add Nodes button a few times (I did until I had 32 nodes).
Then I made a spiral, and did Object to Path. Switch to Node tool, then Ctrl + A to select all nodes. Then click Add Nodes button a couple of times (I did until I had 33 nodes). Then I engaged snapping (Nodes and handles, Snap to Cusp nodes, and Snap to smooth nodes) (disengage all other snap buttons) and snapped the nodes of the trajectory path to the nodes of the spiral path. I don't know why I couldn't get the nodes of the trajectory path to snap to the spiral path itself. It would be easier to control the spacing of the circles. But it does work to snap nodes to nodes.
But you will see that's not a perfect solution. The trajectory path has cusp/corner nodes, so you have to drag the trajectory path, in between nodes, to make curves match the spiral curves, so that the circles are placed properly.
One thing I don't understand, even by reading the manual, is why checking and unchecking the Equidistant spacing option doesn't change the result. Possibly it has to do with using closed paths for the subpaths, rather than the open paths shown in the manual. In some areas, it looks like the centers of the circles are equidistantly spaced, but in other areas, they aren't. But this is my fist time using that LPE, so perhaps there are certain details I haven't learned yet.
I didn't try using the Bend LPE. It might work better than snapping to a spiral (or worse). I'll try in a minute. (Edit -- Bend can work the same way. Also, forgot to say, after I get nodes all snapped, I needed to add many more Steps. I don't see any way to make them spaced better, other than trial and error. But again, maybe a detail I haven't learned yet.)
Oorrr, maybe someone else has a better and easier solution?