At last! Thanks to Bing, I found an online calculator whose numbers confirm the calculation I did on my own for the interplanetary distances from my story “Shadows of Titanium Rain”!
[ from https://www.vcalc.com/wiki/l1-l2-lagrange-points based on data from https://en.wikipedia.org/wiki/WASP-121 ]
This is VERY close to the numbers I got from doing this in Mathematica based on the equations from (as I recall) the NASA page https://map.gsfc.nasa.gov/ContentMedia/lagrange.pdf :
AND, despite a good bit of reading [ https://www.amazon.com/Orbital-Mechanics-Foundation-Richard-Madonna/dp/0894640100 , https://www.routledge.com/Orbital-Motion/Roy/p/book/9781138406285 ] I was not able to find a ready source which gave me a simple formula without solving a bunch of equations.
But the calculator gave the same result that I got earlier on my own.
SO! Failaka is a quarter million kilometers from Tylos.
That’s my story and I’m sticking to it.
-the Centaur