At 25 knots you can move move a hell of a long way in 24 hours. Do the math
the area to search is pi*r*r where r is 24*25 in nautical miles, thats a
LARGE
search area

I'm not an expert but won't a sat in a polar orbit, orbit the Earth
once every 90 minutes? So like I said before if you
are using three, four or more sats its going to get darn near
impossible to evade detection assuming your carrier and rest
of the strike group are not stealthy and actually get to where you
need to go in order to conduct your mission. Of course
you can attack the sats but that shoots the hell out of the catching
your foe unprepared and perhaps will be viewed as a major
provocative act. If China and Taiwan get hot that may be viewed as one
thing but if China goes after strategic U.S. assets...