Can someone summarize Lagrange's solving of Lambert's Problem?

I think that I solved Lambert's Problem on my own. But I'd like to see how Lagrange did it circa 1780. The problem is that of finding a transfer orbit between two points in space, given the heliocentric state vectors at each point just prior to departure (for the earlier point) and just after arrival (at the later point), and the time difference between arrival and departure.

Anonymous2021-03-17T02:01:54Z

Your question looks like word salad. Update the ‘question’ with your ‘proof’ and I’ll critique it for you. That’s why they have that thing called mathematics. It’s easy to determine whether a mathematical proof is correct and complete. Very happy to do that for you.

Update: Hello, hello. I’m still waiting to see your proof.

ReductioAdAstronomicus2021-03-16T23:13:26Z

He did it with the mathematics available at his time. The solution is a little beyond the scope of this forum. You will find plenty of links on the internet and a good university text on Newtonian Mechanics will provide the solution. There was a FORTRAN program knocking about back when I was doing math at uni. You could probably chase that up too, and if you have the time it would be a lot of fun learning FORTRAN, and maybe even running it on an old computer under LINUX. 
BTW: I'm impressed you solved this problem.

Anonymous2021-03-16T22:58:43Z

Lagrange: DONE! Time for a beer, finally!!