Trying to scan the entire sky is cumbersome. Instead of sweeping back
and forth with your satellites, what you -should- be doing is fixating
them on the oldest stars you can find. Take your database of stars and
work backwards, starting with the oldest stars first. Fixating a
satellite on a specific star enables much more efficient and effective
detection, should there be anything to check. The oldest stars are
your most logical first choice for stars to begin focusing on simply
because the longer a star system has been in existence, the more
likely it is that any even remotely habitable planets in that system
would have had time to evolve intelligent life.
Hope that helps.
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Oh, and another thing - your idea about looking for life on moons of
gas giants is a very intelligent one. Any moon capable of sustaining
life would have the added advantage of having any spaceborne
projectiles more likely to be drawn towards the gas giant instead of
towards the moon. Of course that's still no guarantee, but it -is- a
numbers game, and the numbers are significantly more favorable for
worlds orbiting larger worlds.