N-body problem Definition and 17 Threads

Hi, in Bohm's "Quantum Theory" David Bohm writes: for n-particles the wavefunction is:\begin{equation} G (_{N}) = Ae^{ip \eta /\hbar} + B e^{-ip \eta /\hbar} \end{equation} But this is the same as a wavefunction in one dimension (x) given in Atkins and Friedman "Molecular Quantum Mechanics"...

The problem is a simple n-body problem: there is n charged particles - electrons, protons, or other particles; we have the initial parameters: a mass, charge, position, velocity, at a time t = 0. In a standard (classical) numerical computation of the n-body problem I can use any numerical...

Hi! I am trying to simulate the rotation of a planet around a star, using the 2nd order Runge-Kutta method (I am starting with this and I will try 4th order later, I am new to this topic). I have this code but it doesn't work. When I plot y(x) I should get a circle, but I don't get it. Any idea...

In CM general formulation of N-body problem is: x(N;D;T) = \iint \sum_{n=0}^{N_{max}} (\frac {(x(N;D;t)-x(n;D;t))*(m_N*m_n*G+q_N*q_n/(4*π*ε_0))}{(\sum_{d=0}^{D_{max}}((x(N;d;t)-x(n;d;t))^2))^{3/2}*m_N}) \, dt^2 Where x(N;D;T) is D´th coordinate of N´th body at time T. But to get equation of...

Hey there, first time posting, I have casually browsed this forum for a while. Anyway on to the question, I am trying to solve in the best way possible the N-Body problem, I am at a complete loss, I have no idea what I can do, I have tried figuring out my self different integrators such as...

Hello everyone, I'm new here so let me introduce myself first: I'm a games engineering student and my main field is programming Right now I'm struggeling with the N-Body Problem, well I think actually solved parts of it: I've implemented the basic equations with a leapfrog algorithm...

I was wondering if anyone could by any chance give me some help. I used Euler's method and the program runs, however, it doesn't give the correct solution. I honestly have no idea what's happening in the program, the problem has to be in the way I implemented Euler's Method. But I can't seem to...

N-Body Problem -- ideas? First of all I would like some explanation on why one can't find a GENERAL solution for the N-body problem, and what exactly we have to use in its place. Secondly, I want to know if anybody understands these vague ideas of mine and how they would work... Let's...

When looking for chaos in the n body problem what should i do?

Do you happen to know about any resources on the gravitational N-body problem and general relativity? Ideally some open-source implementations or pseudo code. I'm doing a N-body simulator for my bachelor's thesis and my advisor was wondering if I could add some algorithms that take general...

Homework Statement Implementing the 4th order Runge-Kutta method for an n-body problem Homework Equations The RK4 method for the IVP y' = f(t,y), y(t0) = y0, is given by y_(n+1) = y_n + (1/6)(k1 + 2 k2 +2 k3 + k4) t_(n+1) = t_n + h where k1 = h f(t_n,y_n) k2 = h f(t_n+ h/2, y_n + k1/2) k3...

I am currently in the process of writing a program in VBA that will numerically "solve" a given n-body gravitational problem. I'm doing this pretty much just for fun and am by no means a programmer (had a 1 semester course in c++). The question I have is something that seems to keep coming into...

What is the best book on the n-body problem, one that would cover all the different numerical and analytic methods of solving it? I am looking for something http://www.amara.com/papers/nbody.html" but more comprehensive, e.g., perhaps with quantum n-body methods, too.

Hello ppl, I'm new here. I'm trying to compute RK4 for N-body problem. But after computing I'm getting strange numbers. So here are the formulas for these problem. Start from two differential equations of first order: [1] d\vec{r}/dt = \vec{v_i} [2] \frac{d\vec{v_i}}{dt} = \gamma...

What does it mean for an n-body problem to be static? I come from a mathematics background, so I don't know much about relativity, and I can't seem to find a clear, detailed definition of what a static n-body configuration is. If anyone can explain this to me, I would be very grateful. Thanks.

[SOLVED] RK4 in solar system simulation (n-body problem) Hi, I'm making a simulation of the solar system and have so far been using euler's method to integrate my equations of motion - and i'd like to upgrade to a 4th order runge-kutta method. I'm having a lot of trouble understanding the...

i am attempting to find a solution for the n-body problem, but i don't know the equations for gravity in three dimensions. if someone could post them for me, i would be most appreciative. thank you also, any advice as to how to approach this problem would be appreciated as well