There you suggest the US ask the Chinese to shoot it down. IMHO that is silly for main two reasons:
(1) China has nothing to gain and doing so is costly, very costly if they agreed and failed in their attempt. - They have demonstrated (announced after the fact) that they can hit an orbitor (but perhaps only when they get lucky as it is hard to do. I.e. perhaps their success was on try number 13 - a lucky number for the Chinese.) Hitting an exoatmospheric LEO orbitor is relatively easy compared to hitting one already being dynamically slowed by residual atmosphere as that acceleration is completely unpredictable.
(2) China probably hoped the US attempt would fail. From the Chinese POV it would be "great" if that the toxic gas fell on Paris etc. Thus as noted in point (1), China could only lose if it agreed. There was a slight chance that the US could be greatly embarrased by its space spy program. The Chinese could always hope for that, even it there was only 1% chance as they did not have anything to lose by doing nothing, and a huge cost / benefit ratio if they agreed. - Thus, silly to do so (or for US to expect them to agree and ask for help).
Also it would be very embarassing even asking for Chinese aid. Were you serious? or just kidding in post 5? I had assumed you were kidding /sarcastic in post 5, but after your post 86 I think your were serious!
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On anti ABM dificulties: Best (easiest) time to kill it is just as it is leaving the atmospheric forces, - very good idea if it is "MIRved," or has not yet deployed any decoys. It is also mainly still climbing and with hot skin from the air friction. This makes IR guidance easy also. Thirty miutes later it is cold, with decoys, etc - a much harder target. This is why "space-based" anti- ABMs were desired. (The APL/JHU designed Navy system is much cheaper and mobile.) I do not know any "secrete facts" but speculate that with spy satellite data US would know at least 10 days in advance of an ABM lunch - surely at least enough time to position an Aegis ship down track from launch towards contintial USA. Also the launch would be detected in seconds and confired in 30. Thus, the SM-3 could be on its way for a kill as soon as a spaced base system could in most cases.
PS to DH - the air force (and US army) can eat its heart out again. Especially the Army needs a captive lab full of brains, like APL. If they had run their Abrams "fighting vehicle" ideas thru APL we would have sued them - for the medical expenses of staff injured from excessive laughing. All the service need a high quality lab mainly because their own staff turnover is so high - typically about a year max in any one tour of duty technical assignment.* I bet the average APL technical staff averages 20+ years at APL, some have been there for 45+ or even 50 years in few cases. APL has been working for the Navy for about 75 years now.
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*All know you do not move up the command chain pushing a slide rule.