The closest airport is Stuttgart Airport (Stuttgart-Echterdingen, STR). From there you take the S-Bahn to Stuttgart main station. Change trains at Suttgart-Schwabstrasse. The lines S4 or S5 (see also below) bring you to Ludwigsburg. The trip by train takes about 45 min.
The train station of Ludwigsburg is only a ten minute walk away from the town center. Trains and S-Bahn (local trains) stop in Ludwigsburg.
Public transportation is provided by the S-Bahn and Busses. For short distances, it is best to use the Bus. For longer distances (to get to Stuttgart ) the S-Bahn is faster. Public transportation late at night (after midnight) is a problem! On the weekend there are night buses, but they are infrequent (1:11am, 2:00 am, 2:22am, 3:10 am and 3:33am) and on odd routes.
By metered taxi
See the gorgeous Christmas market around the time of advent: set around the Baroque market square, in the shadow of two churches, bustle alongside locals, passing stalls selling a range of products, from Lebkuchen (festive biscuit hearts displaying messages, some in English) to candles, glassware, art and decorative items before making your way to the food stalls for a warming Bratwurst and Glühwein (or, for you non-drinkers, a hot chocolate with whipped cream, or hot orange drink) in a special Ludwigsburg mug. Not to be missed!
The Fairy-Tale Garden is a must for families. The park is part of the gardens and presents more than 30 fairytale scenes. Aside fairy tale attractions it includes the Dukes Seesaw (Herzogschaukel), a madhouse providing a stunning illusion, and a boat ride.
Dating back to 1768 the Venetian Fair (site only in German) is held in Ludwigsburg. It was introduced by Duke Carl Eugen and has been successfully revived in 1993. Nowadays Ludwigsburg holds it every year. See the link for impressions.
Enjoy the Neckar valley. With the area "Zugwiesen (site in German)" the city of Ludwigsburg created a landscape of riverside meadows. It is a great place for walking, jogging, and biking. Bring you picnic (take your trash).
If you don't want to exert yourself you can take a boat cruise along the river Neckar. The Neckar-Käpt’n fleet offers trips at almost all times of the year.