Is trim linear with speed?

[Vessbot]

john_tullamarine;

You're right, everything I've been saying has been about the main wing AOA. This part I'm less sure of than my other posts, but: I think as a first approximation, it's fair to say that the trimmed main wing AOA probably changes linearly with stab deflection. After all, the stab is a wing like any other, subject to the same linear lift-as-a-function-of-AOA, then forcing the tail up or down to rotate the main wing.

At lower speed, the change in stab deflection per speed is greater as we've said (to make up for the lower contribution to Lift from the speed^2) but by the same token, there is less force resisting that deflection. So the 2 effects more or less cancel each other out, so in terms of stick force, the trim per speed stays more or less constant (though in terms of stab deflection, or wheel-rolling, or switch-holding-down, the trim per speed changes)