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So you task the satellite to where you know the ship is?
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Would you prefer to lose it first?
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To get a naval fix, you usually define an "area of uncertainty" around the last confirmed location of the ship. The area is usually a circle with the radius being the maximum distance the ship/group could travel at full speed.

So, you don't exactly "know" where the ship is, but you can draw a hypothetical geofence around where it's likely to be, and scan that area.

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So the satellite can know where the ship is, because it knows where it isn't? Then it's a simple matter of subtracting the isn't from the is, or the is from the isn't (whichever is greater)?
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What if US government bans US-based companies from selling pictures within area where carrier operates?

(of all "national security" reasons these is one of more reasonable ones)

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Figure out where you can't buy pictures to narrow it down, if you want a more exact match, pay for pictures from that area from non US providers.
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Planet Labs PBC, a leading provider of high resolution images taken from space, said Friday it would hold back for 96 hours images of Gulf states targeted by Iranian drone attacks.

It did not say if it had acted at the request of US authorities.

https://uk.finance.yahoo.com/news/leading-satellite-firm-hol...

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Do them publish the banned coordinates in a list too? Maybe they could put the reason at each line.
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