I'm trying to build a 3D wave from several circular arcs. Each arc has to pass through its support point, while the joints between the arcs are located between those points. Adjacent arcs share an endpoint and must be tangent.

I can get the shape roughly right in one 3D sketch, but the arcs are still free to rotate in space. If I move one of them slightly, another arc can sag or twist and the whole shape changes.

I also tried using separate sketch planes for the arcs, but with the support points stepping up in height I couldn't get the planes to work cleanly together with the coincident and tangent relations.

What would you use to define the orientation of each arc in 3D? Sketch planes, construction geometry, or another method?

I need the shape to rebuild predictably when I change the support positions/heights or the arc radii.