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Luzern to Arth-Goldau via Küssnacht am Rigi is 27.79km, via Rotkreuz is 34.64km.
There is a book "Continental Miles & Chains" by Stuart Clarke with all the Swiss distances in, though I am not sure if Stuart still has any available. His e-mail address is available on this link if you want to drop him a line.
In the ‘archives/graphic timetables’ section is nearly every Swiss line (certainly all SBB lines). The graphic timetable not only gives you the exact location of every train all day, each graphic has a gradient profile and distances to one side
But of course many Arth Goldau – Luzern trains now go via Immensee so you’ll have to check other graphics if you want that route
Lou, if you recall, back in March I gave you the link to Fahrplanfelder.ch when I cited that Switzerland was the best country for resources about rail geography and scheduling:
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