Find closest point between polygons inside other polygon

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I have access to ArcInfo (ArcGIS 10.1). The dark polygons are settlements. The green polygon is derived from a suitability analysis. The surrounding white area is restricted.I want to find a point that will serve as a bus stop that has the shortest possible distance between the 2 settlements but it must fall within the green area.The initial idea was to convert the settlements to raster, raster to point (to mimic density), merge points and mean center. In this case we are not taking into account the green area, so there is a great possibility that the mean center will fall inside the bigger settlement. However I want it to be specifically inside the green polygon. Do you have any ideas?



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