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Well actually, they were not on patrol, much more likely in transit between home port and patrol zone (certain for Triomphant, likely for Vanguard).

Now the following computation:
average speed: 4knots = 4 nmi/hour ~ 7.5 km/hour
effective "collision" section = 20 meters (ship breadth, all @600m depth)
area combing speed: 0.15 sq km / hour, or over 3 sq km / day.

Total patrol area in the north atlantic + transit lanes = a few million sq km. Lets say there are constantly about 4 boomers in there (only boomers count, they dodge their own HK because they know where they are). That's two boomers of a different country for each boomer of first country (let's forget non existent russians, and assume boomers of one country are more or less boxed).

What is the average time between intercepts considering the entire fleet of 4 subs ? (we assume even if they detect the encounter, they don't deviate from current trajectory)

Pierre

by Pierre on Tue Feb 17th, 2009 at 12:09:57 PM EST
[ Parent ]
about 3x(3 sq km/day)/3e6 sq km = 3e-6 th part of the area is scanned each day by 3 subs, but there are 4 such combinations, so more like 1e-5/day. I assume subs change course randomly from day to day, and they can randomly go back to some place they've been a while earlier, so each day is an independent random experiment, subs collide if some combination of them do scan the same area.

I get to about 100 000 days on average between collisions, which is 273 years. Not such a large number, but still, it comes a bit early when such patrols have been going on since "only" 40 years. Now, of course a little bit of "lets veer just a little bit toward this weird noise so we get a clearer signal" might help a lot in bringing the numbers down (boomers are not supposed to do this, but you know, it gets so boring down there...)


Pierre

by Pierre on Tue Feb 17th, 2009 at 12:19:35 PM EST
[ Parent ]

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