I am taking a course in classical mechanics these days, which evolves the two-body problem. I need some clarity about the following questions, if possible. Consider two stars orbiting around each ...

Note that the general two-body problem (with an arbitrary radial potential between the two bodies) has only 4 conserved quantities associated with the relative motion: 3 components of the angular …

Aug 22, 2016 · Solving a two-body problem using relative motion and reduced mass Ask Question Asked 9 years, 4 months ago Modified 2 years, 3 months ago

Jan 20, 2022 · What this tells us is that for central forces acting on a two-body system we can move from thinking about individual bodies moving with relation to each other, to thinking about a reduced mass …

Oct 29, 2025 · On the meaning of the radial coordinate in the simplification of the Two-Body Problem. Inertial or non-inertial reference frame? Ask Question Asked 1 month ago Modified 1 month ago

Jun 24, 2018 · Very good question. The truth is that the full-blown-fair-and-square two body problem is fairly complicated. The thing is that you have to be solving simultaneously a system of differential …

Jan 14, 2015 · I hear people say that reduced mass, μ, is used for two body problems, but what sort of problems? Is it so that the two body system can be treated as one body or is it to simplify …

Feb 18, 2024 · I would suggest thinking of the potential as merely a function of both positions, at which point the uncertainty in those positions has the same character as the uncertainty in a single position …

Sep 20, 2024 · You are considering the two-body problem. You can decompose it into the motion of the barycentre and the equivalent one-body relative motion. In the equivalent one-body relative motion, …

Dec 19, 2024 · If you have a genuine two-body problem (so you only have two particles in empty space, and nothing else), then the total momentum of the two particles must be conserved; this just means …