Hey all,
We finally managed to do a proper write-up on my wise presentation and submit to JFM. A preprint may be found here: Link.
The basic question I had after looking at hurricane data from our Spotter drifters was- is there ever a need to correct for the fact that Spotters are Lagrangian- and I ended up taking it to the fourth order.
To not bury the lede- in intermediate water at finite Ursell numbers we may need to take some care- especially for the nonlinear statistics.
We also found that wave heights are always the same for regular waves across reference frames- which in hindsight is obvious- but the relation between crest/through amplitudes being different in different references frames may be of some interest.
Nothing earth shattering (apart from a lot of painful algebra) - but a cute little exersize in perturbation analysis nonetheless. The code is available on github (and as a python package) for those interested!
Cheers
Pieter