Euler E112: Studies on the motion of celestial bodies in general | English translation | OMH v1.0

English translation of “Recherches sur le mouvement des corps célestes en général” by Leonhard Euler (Eneström E112), titled “Studies on the motion of celestial bodies in general.” Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical transcription and LaTeX typesetting. OMH v1.0 is a machine-assisted draft that has undergone a full, fresh AI-assisted technical audit of source coverage, translation, formulas, tables and figures where present, and rendered output. This is not a claim of human scholarly review or certification of the historical mathematics. Version 2 is reserved for a fully reviewed edition. Original publication: Mémoires de l’Académie des sciences de Berlin, vol. 3 (year 1747, printed 1749), pp. 93–143, Plate I, figures 1–4. Sources: https://scholarlycommons.pacific.edu/euler-works/112/; https://bibliothek.bbaw.de/digitalisierte-sammlungen/akademieschriften. Reproduced BBAW scan assets retain the collection’s stated current CC BY-SA conditions and attribution; no unsupported numbered license version or blanket license for the mixed-content edition is asserted. The original historical text is public domain by age; no publication license is assigned here to the new translation or editorial notes.