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Draw a LINE from anywhere on the center-line curve, PERpendicular to the inboard bounding curve. ROTATE that Line 90° about its inboard end in either direction. EXTEND it both ways to the center-line curve.
If the result is not too long, you can use MIRROR, with the mirror line being from an ENDpoint to the CENter of the curve, to get adjacent runs.
If it's too long, you can SCALE it down to the maximum length using the Reference-length option. Then select it, grab the grip at one end, hit Enter until the Rotate option comes up, pick the Copy option within that, and rotate the copy 90° in the direction that puts the copy aiming outboard, i.e. crossing the center-line curve. MOVE the source Line from the common ENDpoint to the INTersection of the rotated copy with the center-line curve. MIRROR as above for adjacent runs.
Either way, you will probably need to ROTATE the collected runs about the CENter of the curves, to get the ends to land in a workable place.