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Table 1.

Summary of the definitions and notation used throughout this work.

Name Notation Notes
Host halo size R 200 c host $ R_{\mathrm{200c}}^{\mathrm{host}} $ [Mpc] Radius at which the average enclosed density is 200 times the critical density of the Universe.
Host halo mass M 200 c host [ M ] $ M_{\mathrm{200c}}^{\mathrm{host}}\,[M_\odot] $ Total mass enclosed within the halo size R 200 c host $ R_{\mathrm{200c}}^{\mathrm{host}} $.

Satellite stellar size Rhalf, ⋆ [kpc] Half mass radius of the total gravitationally bound stellar mass, computed via SUBFIND.
Satellite stellar mass M sat [ M ] $ M_{\star}^{\mathrm{sat}}\,[M_\odot] $ Stellar mass of the satellite galaxy within 2 Rhalf, ⋆.
Satellite gas mass M gas sat [ M ] $ M_{\mathrm{gas}}^{\mathrm{sat}}\,[M_\odot] $ Total gravitationally bound gas mass, computed via SUBFIND.
Satellite hot gas mass M HotGas sat [ M ] $ M_{\mathrm{HotGas}}^{\mathrm{sat}}\,[M_\odot] $ M gas sat $ M_{\mathrm{gas}}^{\mathrm{sat}} $ but only for hot > 104.5 K gas; used as a proxy for X-ray bright gas.
Satellite cold gas mass M ColdGas sat [ M ] $ M_{\mathrm{ColdGas}}^{\mathrm{sat}}\,[M_\odot] $ M gas sat $ M_{\mathrm{gas}}^{\mathrm{sat}} $ but only for cold < 104.5 K gas; used as a proxy for ISM gas.
Satellite CGM gas mass M CGM sat [ M ] $ M_{\mathrm{CGM}}^{\mathrm{sat}}\,[M_\odot] $ Circumgalactic medium; M gas sat $ M_{\mathrm{gas}}^{\mathrm{sat}} $ but only for > 2 Rhalf, ⋆ gas; includes hot and cold gas.

Host-centric distance d sat host [ R 200 c host , kpc ] $ d_{\mathrm{sat}}^{\mathrm{host}}\,[R_{\mathrm{200c}}^{\mathrm{host}},\mathrm{kpc}] $ Distance from the center of the host cluster to the center of the satellite, in 2D projection unless otherwise noted.

Infall time τFirstInfall [Gyr] The first time a galaxy became a satellite (a).

Notes.

(a)

The first time the galaxy was a Friends-of-Friends satellite for at least 3 consecutive snapshots in a host of mass M 200 c host > 10 12 M $ M_{\mathrm{200c}}^{\mathrm{host}} > 10^{12}\,M_\odot $.

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