The drive from Frankfurt to Ludwigsburg takes about 1-2 hrs. In Frankfurt city take the direction of Paulsplatz, then take right to Frankfurt's Kornmarkt, then take first opportunity left, to drive onto Berliner Strasse/Theatertunnel, then some time left again to get onto Baseler Strasse, then further onto B44 until Theodor-Stern-Kai, Niederraeder Ufer, Schwanheimer Ufer, then turn left onto A5 in direction of Basel, then onto E451, then change onto A6, then follow the sign in direction of Weinsberg, turn left and follow the sign of Stuttgart. Take exit Ludwigsburg-Nord and keep on B27 into direction of Ludwigsburg/Asperg. Some time soon one should get to Ludwigburg's Karlsplatz.
By Road : Ludwigsburg is only 15 kms from Stuttgart and right on the River Neckar and A81. Take the A81 autobahn and turn off at the Ludwigsburg Nord and Sud exits, B27.
By Rail : The S4 and S5 urban rail runs from Stuttgart central station.