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This work provides, at lower order, general analytical solutions for theorbital separation, merging time, and orbital frequency of binary systemsemitting gravitational waves while being submitted to mass variations. Specificfeatures, depending on the exponent of the mass derivative, are investigated indetails. Two phenomenologically interesting cases are explicitly considered :i) binaries formed by two light primordial black holes submitted to Hawkingevaporation and ii) bodies driven by a Bondi accretion of phantom dark energy.It is shown that three different regimes arise, including an intricatenon-monotonic behaviour of the system. We study subtle imprints that could beassociated with those phenomena. A careful analysis of the conditions ofvalidity of the different hypotheses performed is finally carried out.

Competitive effects between gravitational radiation and mass variation for two-body systems in circular orbits