3 papers
math-ph2011
Computing collinear 4-Body Problem central configurations with given masses
E. Piña
An interesting description of a collinear configuration of four particles is found in terms of two spherical coordinates. An algorithm to compute the four coordinates of particles…
math-ph2009
New coordinates for the Four-Body problem
E. Piña
A new coordinate system is defined for the Four-Body dynamical problem with general masses, having as its origin of coordinates the center of mass. The transformation from the iner…
math-ph2009
Central configurations for the planar Newtonian Four-Body problem
E. Piña, P. Lonngi
The plane case of central configurations with four different masses is analyzed theoretically and is computed numerically. We follow Dziobek's approach to four body central configu…