The calculated distance (air line) between Hamburg-Nord and Castrop-Rauxel is approximately 180 miles respectively 289 kilometers.
By car or train, the actual journey to Castrop-Rauxel is certainly longer, as only the direct route (as the crow flies) between Hamburg-Nord and Castrop-Rauxel has been calculated here.
Air line (approximately)
289 kilometers
156 nautical miles