Asteroid 3097, Tacitus, was discovered on September 24, 1960 by the Palomar-Leiden Survey (PLS), in which CJ van Houten and Ingrid van Houten-Groeneveld at Leiden, Netherlands detected asteroids on 130 photographic plates taken at Palomar Mountain Observatory near Pauma Valley, California by Tom Gehrels in September and October 1960. The orbits were computed by Paul Herget. Tacitus has a period of 5 years, 5 days.

It was named for the 1st-century Roman historian, Publius Cornelius Tacitus (some reports say his name was Gaius Cornelius Tacitus)(56-117).

A statue of Tacitus outside the Austrian Parliament building in Vienna

The meaning of Tacitus seems to be: tacit, taciturn, silent, to be shut up, unwritten law; possibly, the study of history or historical writing.

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