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It is situated on the south side of the Flensborg Fjord, an inlet of the Baltic Sea, approx. 10 km northeast of Flensburg. The town was originally the home of the family Schleswig-Holstein-Sonderburg-Glücksburg (or simply Glücksburg), members of which have reigned in the past in Greece and several northern German states. Members of the family still reign in Denmark and Norway since 1863 and 1905 respectively.
Glücksburg was home to a German Navy base. Among the facilities at the base was the transmitter, callsign DHJ58. DHJ58, situated at 54° 50'N and 9° 32' E, ceased its transmissions on longwave frequency 68.9 kHz in 2002 and in 2004 its longwave antenna was disassembled.