Here is the original article by Anders Johan Lexell where he establishes some orbital parameters of Uranus from observations:
Google Books link
It's in French and heavy on observations but light on math.
He doesn't detail his calculations, from my poor understanding of French he just says "from these observations we calculate that...." and "our calculations show..." Would the calculations have been obvious to his peers?
Maybe someone can tell from that article roughly what his calculations are?
5
