Genghis,
I have some notes on calculating the stability and control derivatives to maintain lateral directional control during the takeoff ground run.
Only have 3 equations, but 5 unknows...normal story some assumptions have to be made.
Using these plus the longitudinal control requirements you could build up a lift & drag model for the aircraft which could be used to generate the takeoff charts.
I have not seen results of this type of analysis published before in aircraft POH, just a factored normal takeoff distance.
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It is possible to fly without motors, but not without knowledge and skill.
— Wilbur Wright