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Symplectic integrators are widely used for long-term integration ofconservative astrophysical problems due to their ability to preserve theconstants of motion; however, they cannot in general be applied in the presenceof nonconservative interactions. In this Letter, we develop the "slimplectic"integrator, a new type of numerical integrator that shares many of the benefitsof traditional symplectic integrators yet is applicable to generalnonconservative systems. We utilize a fixed time-step variational integratorformalism applied to the principle of stationary nonconservative actiondeveloped in Galley, 2013; Galley, Tsang & Stein, 2014. As a result, thegeneralized momenta and energy (Noether current) evolutions are well-tracked.We discuss several example systems, including damped harmonic oscillators,Poynting-Robertson drag, and gravitational radiation reaction, by utilizing ournew publicly available code to demonstrate the slimplectic integratoralgorithm.  Slimplectic integrators are well-suited for integrations of systems wherenonconservative effects play an important role in the long-term dynamicalevolution. As such they are particularly appropriate for cosmological orcelestial N-body dynamics problems where nonconservative interactions, e.g. gasinteractions or dissipative tides, can play an important role.

Slimplectic Integrators: Variational Integrators for General Nonconservative Systems