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A study of binary systems composed of two point particles with differentmasses in the linear regime of the characteristic formulation of generalrelativity in a Minkowski background is provided. The present paper generalizesa previous study find in the literature. The boundary conditions at the worldtubes generated by the particle's orbits are explored, when the metricvariables are decomposed in spin-weighted spherical harmonics. The power lostby the emission of gravitational waves is computed using the News Bondi'sfunctions. The power found is nothing but the well-known result for the powerobtained by Peters and Mathews in a different approach. This agreement showsthe consistency of the approach considered here. The contribution to thegravitational radiation of several multipole terms is also shown.

Point Particle Binary System with Components of Different Masses in the Linear Regime of the Characteristic Formulation of General Relativity