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On The Rectilinear Motion Of Three Bodies Mutually Attracting Each Other, Sylvio R. Bistafa
On The Rectilinear Motion Of Three Bodies Mutually Attracting Each Other, Sylvio R. Bistafa
Euleriana
This is an annotated translation from Latin of E327 -- De motu rectilineo trium corporum se mutuo attrahentium (“On the rectilinear motion of three bodies mutually attracting each other”). In this publication, Euler considers three bodies lying on a straight line, which are attracted to each other by central forces inversely proportional to the square of their separation distance (inverse-square law). Here Euler finds that the parameter that controls the relative distances among the bodies is given by a quintic function.