Living near O'Hare Airport in Chicago, I would merely site the guidelines as to what the airport authority deems as "loud" noise by comparison to your header noise level. I would think that if you arm yourself with a few statistics, your eventual day in court will be described as comedic at best.
Who knows, you may even start a backlash and get the airlines fined for "loud" noise infractions....
" Power to the People"
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