Chaos in a generalized Euler’s three-body problem

Chaos in the one-dimensional gravitational three-body problem.

We have investigated the appearance of chaos in the one-dimensional Newtonian gravitational three-body system (three masses on a line with -1/r pairwise potential). In the center of mass coordinates this system has two degrees of freedom and can be conveniently studied using Poincare sections. We have concentrated in particular on how the behavior changes when the relative masses of the three b...

A Trilinear Three-Body Problem

In this paper we present a simplified model of a three-body problem. Place three parallel lines in the plane. Place one mass on each of the lines and let their positions evolve according to Newton’s inverse square law of gravitation. We prove the KAM theory applies to our model and simulations are presented. We argue that this model provides an ideal, accessible entry point into the beautiful m...

Three - Body Problem

A Generalized Sturmian Treatment of (e, 3e) Processes Described as a Three-Body Coulomb Problem

The double ionization of helium by high energy electron impact is investigated. The pure four-body Coulomb problem may be reduced to a three-body one in accordance with the use of the first Born approximation. Even within this frame, major unexplained discrepancies subsist between several theoretical descriptions, and with available absolute experimental data. In this contribution we discuss an...

Solution of a Relativistic Three Body Problem

Starting from a relativistic s-wave scattering length model for the two particle input we construct an unambiguous, unitary solution of the relativistic three body problem given only the masses ma,mb,mc and the masses of the two body bound states μbc, μca, μab. Submitted to Few Body Systems: Tjon Festschrift Issue; revised ms. resubmitted October, 1997 Work supported by Department of Energy con...