Can you get a list of the 29 stars in Eradinus constellation, following from source to end?
If you take a list of the brightest stars, then in Hip classification, the 10th 7th 5th & 3rd stars are HIP, 18339, 9007, 13701, 7588, sum of which is HIP 48,635 which exists on inara, but I think the order should be along the river.
The 3200 phatheon meteor was discovered in 1983, classified in 1985, not quite the T-1319 which is a neat answer at 1984. But I would be inclined to follow the mythology more, phaethon reached the end of the river, I.e archenor, follow the path to make the story end, list of the star names to the constellation would help, yes looks like Archenor is the 29th, so which ones are 10,7,5,3?
That's going to be a long trip.
Distance from Sol for Eridani stars varies by > 1,500 LYs, so even assuming that you take them in distance order then you're looking at 3kLY. Doing them in alpha/omega sequence is going to be much greater.
https://en.wikipedia.org/wiki/List_of_stars_in_Eridanus
You also have to figure out how you're dealing with multiple stars with the same name - for example, there are 9 stars which make up Tau Eridani, which are between 46 and 385 LY from Sol.
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