Originally posted by atpollard:
First. Do you know what the range is that the sunlight reflected off a 300 degree K scout ship averaged with the background will be magnitude 44 per arc second? (the scout ship is twice as bright as the average sky).
Twice as bright as the background is magnitude 20.5, not 44, and it depends on the color. It's also not necessary to be twice as bright as the background; equal will do, since ships don't block the background out. Assuming a fairly dark hull, and ignoring heat output, probably on the order of 20 light-seconds.
Second. Have you considered that this computer/sensor problem needs to be solved in real time?
You don't have to. It's much easier to track a known target than to find an unnoticed target. You can use real-time imaging to track known targets, and a modest scan time to find new targets.
If my ship is being shot at by another ship at a range of 100,000 kilometers, I may want to target the incoming missiles with my laser. I cannot abort a 10 minute scan because my ship performed evasive maneuvers and start a second scan with the sensors if I want to target the missile.
The example I gave involves a signal integration time of about ten seconds; it takes longer than that because each frame covers a fairly small part of the sky, but if you already know what part of the sky you care about (the one with the enemy ship in it), that's not a factor. You can fairly easily reduce the time to a second or less, at some loss in sensitivity.
Third. If we use hardware to detect the moving object by comparing two images taken 1/10 of a second apart (an impressive exposure time) and only report the changes to the ship computer (to filter out stationary background objects) – then how fast will a ship need to travel (perpendicular to the field of view) at a distance of 900,000 km (maximum tracking range) to travel 1 arcsecond and be detected as “moving” by this 500 gigapixel detector.
About 45 kps. However, you wouldn't do that. It's not like you can't just compare the images to ones you took ten seconds ago, even if you're taking multiple images per second.
I would personally like to know what could be built TODAY using non-military technology and an unlimited budget. Mounted to a moving space shuttle, how far away could you detect another shuttle on a transfer orbit (no engines firing, but life support at normal levels). Is the range closer to kilometers or AUs or hundreds of AUs? Are CT sensors weaker than real life or “handwavuim” more advanced than real life?
Depends on the time frame and on whether we knew where to look. Assuming we knew where to look, it's probably on the edge of detectable at an AU. If we didn't know where to look, it's not really realistic to figure on detection beyond a few million kilometers.