I am long time pprune reader, but I've never took enough courage o register.

But today I've found this topic, when I've been searching whole day for the similar answer
Can Wind Triangle vector calculations apply to curved trajectories or turns?
Is there universal formula to calculate trajectory of ROT affected by constant wind?
I am currently programming GNSS HT1000 simulation and I need to decide when (at which acft position) Fly-by WPT should be marked as overflown and GNSS should start commanding AP to fly next leg.
Here is what I have for fly-by WPT:
- inbound/outbound tracks over WPT
- aircraft tas, hdg, track
- wind vector (speed + direction)
- RNAV turn are designed as ROT(3deg/s) up to max bank of 25deg.
I am able to do calculation based just on ROT, I am able to compensate initial and final track/hdg for wind, but when it come to wind effect to whole trajectory during the turn, I am lost.
Please for now forget about RNAV protected areas and RNP Fix tolerance limits, as first I need to know trajectory, then I can check, if it complies with them.
There is 5sec allowance for acft to establish required bank at the beginning of the turn, and then similar time for acft to return to wing level - For simplification please disregard both.
I would welcome any help and/or comment, thank you.