  We outline the priority of high quality data of astronomical content as our
strategy for the analysis of the ancient astronomical records in the search of
the absolute chronology of the Near East in II millennium BC. The
correspondingly defined set of data for two lunar eclipses of EAE 20 and 21
tablets linked to Ur III period enables us the choice of eclipses of 27 June
1954 BC and 17 March 1912 BC; here the information on the exit position of the
darkening of the lunar disk acts as a crucial informator survived in the
records. We then discuss why the 56/64 year Venus cycle cannot be traced in the
Venus Tablet and therefore cannot serve as an anchor for the search of
chronologies. The month length method is discussed as well. In sum the
available data support the Ultra-Low Chronology proposed in the book by
H.Gasche, J.A.Armstrong, S.W.Cole and V.G.Gurzadyan, "Dating the Fall of
Babylon" (1998) and, particularly, leave no astronomical background for the
High Chronology. Ultra-Low Chronology is supported also by archaeological,
dendrochronological, Assyrian king lists and other data as summarized at the
Intern. Colloquium on Ancient Near Eastern Chronology (Ghent, July, 2000).
