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Small Slide Help - Sry I don't get the rid xD

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Hey all.

I've a little slide problem.

We all know that sliding does peridoic movements.
But units while sliding can NOT change the angle (because they move),
so I am trying to add a direction changer into the slide
system. I am simply not getting the rid of it xD

I've made a picture of what I want:
Problem.jpg

Explaination:
(What a word)
Well I want to have the angle of that circle. I know the angle normal and the aimangle. So all I need is to know how to get that distance between those 2 angles.

Additionally, because I want to add that angle changing in my slide system, I need to have a smooth changing that only does x ° at a ms at once. It needs to recalculate every time it moves the unit.

I am glad if anyone can help me.
 
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