Euler E066: Theory of the motions of planets and comets | English translation | OMH v1.0

Abstract

English translation of “Theoria motuum planetarum et cometarum” (Eneström E066), titled “Theory of the motions of planets and comets.” Attribution: Leonhard Euler. This PDF includes the complete work, its addendum and final Nota, all 184 physical text/table pages, and fifteen scientific diagrams on four plates. 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 independent 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: Berlin: Ambrosius Haude, [1744]. Sources: https://scholarlycommons.pacific.edu/euler-works/66/; https://doi.org/10.3931/e-rara-551. The ETH-Bibliothek Zürich witness, Rar 4397, carries the Public Domain Mark. Pagination follows printed 3–6, then 9–187 and a second 187, distinguished as 187a/187b; absent numbers 7–8 are not supplied with invented text. Other misprinted page numbers are identified in the edition. The historical original is public domain by age; no publication license is assigned here to the new translation or editorial notes.