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Using the EAGLE suite of simulations, we demonstrate that both cold gasstripping {\it and} starvation of gas inflow play an important role inquenching satellite galaxies across a range of stellar and halo masses,$M_{\star}$ and $M_{200}$. By quantifying the balance between gas inflows,outflows, and star formation rates, we show that even at $z=2$, only$\approx30\%$ of satellite galaxies are able to maintain equilibrium or growtheir reservoir of cool gas - compared to $\approx50\%$ of central galaxies atthis redshift. We find that the number of orbits completed by a satellite is avery good predictor of its quenching, even more so than the time since infall.On average, we show that intermediate-mass satellites with $M_{\star}$ between$10^{9}{\rm M}_{\odot}-10^{10}{\rm M}_{\odot}$ will be quenched at firstpericenter in massive group environments, $M_{200}>10^{13.5}{\rm M}_{\odot}$;and will be quenched at second pericenter in less massive group environments,$M_{200}<10^{13.5}{\rm M}_{\odot}$. On average, more massive satellites($M_{\star}>10^{10}{\rm M}_{\odot}$) experience longer depletion time-scales,being quenched between first and second pericenters in massive groups; while insmaller group environments, just $\approx30\%$ will be quenched even after twoorbits. Our results suggest that while starvation alone may be enough to slowlyquench satellite galaxies, direct gas stripping, particularly at pericenters,is required to produce the short quenching time-scales exhibited in thesimulation.

An orbital perspective on the starvation, stripping, and quenching of satellite galaxies in the EAGLE simulations