Let's go through the Azevedo and Pelluso bibliography. I mean, besides Hoenselaers.
First and I suspect foremost: Carl Mungan 2005. This took the original Bouguer (Cartesian straight-line) problem and recast its Mercator maths for physicists. So: time derivatives and vector components
. Chashchina and Silagadze 2009 represents, with full credit granted, the followup to Mungan. A-&-P had noted, exactly, that t became a nonparameter in Bouguer's chart hence their efforts to put it right back in there.
Next up is Arthur Bernhart. It turns out that his two articles in the A-&-P biblio aren't fit for a merchant (or a rabbit or a duck) on a variable-speed track, even a Keplerian orbit. Luckily for us, those articles launch a trilogy: here's the third (pdf).
Also not A-&-P, Morley has actually handled the case of a circular orbit where the pursuer starts from the centre. But can the pursuer neglect the Sun's gravity at the start?
Curved-track merchant routes are, it seems, also 1732, here from Pierre-Louis Moreau de Maupertuis. Bernhart's third article delivers this to us in our language.
Overall I get the impression from A-&-P that they didn't want to chase that, er, rabbit; they concentrated on Planet Cartesia in the Euclid System.
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