History of the star: In Classical times, this star, Acamar, was the most southerly bright star that could be seen from the latitude of Greece. It marked the south end of Eridanus, the River, until travelers reaching more southerly locations in the 16th century described the River as extending to Achernar. (The south end of Eridanus is now marked by the star Achernar, alpha Eridanus.)

Acamar, was called Akhir an-Nahr (1), by the Arabs meaning "the End of the River."

Ulug Beg (Arabic) also called it Al Thalim, "the Ostrich". Hyde rendered this ...(?) the "Dam", as if blocking the flow of the stream to the south. The French astronomer, Bullialdus, used a Greek word meaning the "Furrow", equivalent to the Latin sulcus used by Vergil to denote the track of a vessel appropriate enough to a star situated in the Stream of Ocean. 

[Star Names, Their Lore and Meaning, Richard Hinchley Allen, 1889] 

The astrological influences of the constellation: According to Ptolemy all the stars with the exception of Achernar are like Saturn. Eridanus gives a love of knowledge and science, much travel and many changes, a position of authority, but danger of accidents, especially at sea, and of drowning. (Fixed Stars and Constellations in Astrology, Vivian E. Robson, 1923).

The general astrological influences of the star: Success in public office. Ecclesiastical success. (Fixed Stars and Judicial Astrology, George Noonan, 1990).