Could you please specify it a bit better? who is this organization?
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NPCs only attack you if your standing towards them is -5.0 ( = KoS ) or below that, or if you start shooting at them.
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Players can attack you regardless of where you are, except when you’re docked in a station. If a player attacks you without legal rights to do so, in a High-Security space system, CONCORD will insure retribution upon those who would dare to commit such Criminal acts. This does however (probably) not save you from losing your ship and/or pod.
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War Declarations (Between player corps only) - means that they can attack you anywhere without CONCORD intervention.
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Illegally destroying a Ship/Pod will grant Kill Rights to the Victim.
Here are some use full links; Suspect Timer, Criminal Timer and Weapon and Logoff Timers