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- How to compute the orientation

Hello!

(I am not asking for someone to do this for me. I am only asking a qualitative question.)

Suppose one knows the lengths of all six links that are involved in the Stewart platform.

Is that enough to define the position and orientation of the top (assuming the base is fixed)

I would take the route of creating six closed loop equations for each of the six struts and using Newton-Raphson (or similar) to

compute pitch, yaw, roll, heave, sway, surge of the top.

However, a colleague is arguing with me that just knowing the lengths of the six arms should be enough.

Picture attached

(I am not asking for someone to do this for me. I am only asking a qualitative question.)

Suppose one knows the lengths of all six links that are involved in the Stewart platform.

Is that enough to define the position and orientation of the top (assuming the base is fixed)

I would take the route of creating six closed loop equations for each of the six struts and using Newton-Raphson (or similar) to

compute pitch, yaw, roll, heave, sway, surge of the top.

However, a colleague is arguing with me that just knowing the lengths of the six arms should be enough.

Picture attached