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aero formula sought for teathered inverted stable cone

aero formula sought for teathered inverted stable cone

aero formula sought for teathered inverted stable cone

(OP)
I am looking for a formula that relates the aircraft velocity, bank angle(radius of turn), length of a teather, and weight of an object on that teather for a stable solution.  Normally a teathered object in a turn will be forced outboard by the centrifical force, but there is an inverted stable cone configuration also, whereby the aircraft can fly in concentric circles with a payload on a teather remaining relatively stationary given the right combination of weight, length of teather, turn geometry and speed.

RE: aero formula sought for teathered inverted stable cone

Hmmm...  given the lack of responses to you question,  I suspect the quickest way to arrive at solutions is to just go out and fly it - and take some parametric data that will reduce to a formula.  My background is Indy Car design, and as you can imagine, we learn many things we don't publish.  The hat trick you describe is done often enough that I suppose someone already has the information you seek, but it is probably going to prove hard to find unless there is a name for the proceedure that can be entered into the Google Advanced Search Engine.  Also, perhaps an AIAA paper exists on this one...  mrvortex

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