Why was Tyr connected with the Roman god Mars and the name Tuesday?

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Germanic religion and mythology Battle scenes and ships depicted on a memorial stone from Gotland, Sweden, late 8th century. In the third panel from the top, a warrior is being hanged in a tree as a sacrifice to Odin, whose cult is represented by an eagle and a twisted knot.

Tyr was identified with the Roman god Mars because of his role as a god concerned with the formalities of war, particularly the administration of treaties and the guardianship of oaths. This association led to the naming of the third day of the week.12

In the Roman calendar, the day dedicated to Mars was known as dies Martis (Mars’s Day). When Germanic peoples adopted the Roman week, they replaced the name of the Roman god with that of their own deity who shared similar warlike attributes. Consequently, the Old English Tīwesdæg (Tiw’s Day) and the Old Norse Týs dagr were derived from the name of the god Tyr (also known as Tiw or Tiu), resulting in the modern English name Tuesday.1342