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The Newtonian n-Body Problem is modified assuming positive inertial massesbut different sign for the interacting force which is assumed with thepossibility of two different signs for the gravitational masses, according tothe prescription two masses with same sign attract one to the other, two massesof different sign repel one to the other. As in electrostatics the signed massis called charge. The inertial mass is always positive. The two body problembehaves as the similar Coulomb problem of charged particles with two equalcharges. The solution is a central configuration with almost same behavior thatthe Newton two-body problem for hyperbolic orbits. The 3-Body problem was foundwith collinear solutions. The four body case of charged central configurationshas only the planar [1] and collinear solutions.

Newtonian Few-Body Problem Central Configurations with Gravitational Charges of both Signs