The calculated distance (air line) between Dortmund and Ludwigshafen am Rhein is approximately 147 miles respectively 237 kilometers.
By car or train, the actual journey to Ludwigshafen am Rhein is certainly longer, as only the direct route (as the crow flies) between Dortmund and Ludwigshafen am Rhein has been calculated here.
Air line (approximately)
237 kilometers
128 nautical miles