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The Christodoulou memory is a nonlinear contribution to thegravitational-wave field that is sourced by the gravitational-wavestress-energy tensor. For quasicircular, inspiralling binaries, theChristodoulou memory produces a growing, nonoscillatory change in thegravitational-wave "plus" polarization, resulting in the permanent displacementof a pair of freely-falling test masses after the wave has passed. In additionto its nonoscillatory behavior, the Christodoulou memory is interesting becauseeven though it originates from 2.5 post-Newtonian (PN) order multipoleinteractions, it affects the waveform at leading (Newtonian/quadrupole) order.The memory is also potentially detectable in binary black-hole mergers. Whilethe oscillatory pieces of the gravitational-wave polarizations forquasicircular, inspiralling compact binaries have been computed to 3PN order,the memory contribution to the polarizations has only been calculated toleading order (the next-to-leading order 0.5PN term has previously been shownto vanish). Here the calculation of the memory for quasicircular, inspirallingbinaries is extended to 3PN order. While the angular dependence of the memoryremains qualitatively unchanged, the PN correction terms tend to reduce thememory's magnitude. Explicit expressions are given for the memory contributionsto the plus polarization and the spin-weighted spherical-harmonic modes of themetric and curvature perturbations. Combined with the recent results ofBlanchet et al.(2008), this completes the waveform to 3PN order. This paperalso discusses: (i) the difficulties in extracting the memory from numericalsimulations, (ii) other nonoscillatory effects that enter the waveform at highPN orders, and (iii) issues concerning the observability of the memory.

Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries