Newtonian Few-Body Problem Central Configurations with Gravitational Charges of both Signs
Abstract
The Newtonian n-Body Problem is modified assuming positive inertial masses but different sign for the interacting force which is assumed with the possibility of two different signs for the gravitational masses, according to the prescription two masses with same sign attract one to the other, two masses of different sign repel one to the other. As in electrostatics the signed mass is called charge. The inertial mass is always positive. The two body problem behaves as the similar Coulomb problem of charged particles with two equal charges. The solution is a central configuration with almost same behavior that the Newton two-body problem for hyperbolic orbits. The 3-Body problem was found with collinear solutions. The four body case of charged central configurations has only the planar [1] and collinear solutions.
Keywords
Cite
@article{arxiv.1212.3219,
title = {Newtonian Few-Body Problem Central Configurations with Gravitational Charges of both Signs},
author = {E. Piña and P. Lonngi},
journal= {arXiv preprint arXiv:1212.3219},
year = {2018}
}
Comments
23 pages, 2 figures, corrected version of Salou 2012 conference "New Trends in Dynamical Systems"