According to the 'Iliad', how long was Troy besieged by the Greek army of King Agamemnon?

In Greek mythology, the Trojan War was waged against the city of Troy by the Achaeans (Greeks) after Paris of Troy took Helen from her husband Menelaus, king of Sparta. The war is one of the most important events in Greek mythology and has been narrated through many works of Greek literature, most notably Homer's 'Iliad'.

The core of the 'Iliad' (Books II – XXIII) describes a period of four days and two nights in the tenth year of the decade-long siege of Troy, which was eventually conquered by the Greek army led by King Agamemnon.

The ancient Greeks believed that Troy was located near the Dardanelles and that the Trojan War was a historical event of the 13th or 12th century BC, but by the mid-19th century AD, both the war and the city were widely seen as non-historical. In 1868, however, the German archaeologist Heinrich Schliemann met Frank Calvert, who convinced Schliemann that Troy was a real city at what is now Hisarlik in Turkey. On the basis of excavations conducted by Schliemann and others, this claim is now accepted by most scholars.