On the motion of bodies around two fixed points of attraction
According to Jacobi, a treatise with this title was read to the Berlin Academy on April 5, 1759. According to St. Petersburg Academy records, it was presented to that Academy on December 1, 1760.
Alexander Aycock has made a draft translation into English, available online at Euler-Kreis Mainz.
Euler considers the case in which a point moves in a plane, using elliptical integrals.
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 10, pp. 207-242.
Opera Omnia Citation
Series 2, Volume 6, pp.209-246.