The two-body problem - planets orbiting each other
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 ...
Solving a two-body problem using relative motion and reduced mass
Aug 22, 2016 · Let's say we have some sort of mechanical problem regarding the interaction (or just the motion) of two bodies (I'm trying to be the most general possible). For instance we could have a …
What exactly are the 12 conserved quantities in the Two-Body Problem?
That being said, it is known that analytic solutions to the Two-Body problem exist, which would require 12 constants of motion. What are these 12 constants? Energy and angular momentum alone are not …
Reduction of a two-body problem into a one-body problem and Non ...
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 …
How to approach a 2-body problem in General Relativity?
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 …
Solution of the two-body problem - Physics Stack Exchange
Jul 17, 2022 · I'm self-studying Lagrangian Mechanics using Goldstein's Classical Mechanics, supplemented with Lemos's Analytical Mechanics, a modern version of the same, and Landau and …
Quantum two-body problem for particles with different potentials
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 …
Why is angular momentum in a 2-body system conserved if the points ...
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, …
Why does reduced mass help when talking about two body problems?
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 …
Solving differential Equation for the Two-Body Problem
So, I'm following the derivation in D. Morin, Introduction to Classical Mechanics, of the equations for a two-body system. I understand all of it, aside from this one step. When he's talking about