Apparently, either my research jiu-jitsu is flawed, or the first cylinder is a forgery. First of all, it does not resemble any of the Cuneiform writings that are historically known, secondarily there is no such item in the VA (I checked the items archive online and JSTOR for any notice of VA item 243). If you want to know more about Sumerians, I recommend more reliable sources (I'm an amateur, critical thinker at best). In these times no planets above Saturn were known, even cities and Ziggurats were constructed in accord with this view.
Not much is known about the Sumerian astrological/astronomical system, however much later, Babylonians did have an idea of spatial depth called "assuraku", is it not enough to call these civilizations highly advanced star-cultures without all the unnecessary superficialities?

Rochberg-Halton, F. "Stellar Distances in Early Babylonian Astronomy: A New Perspective on the Hilprecht Text (HS 229)." Journal of Near Eastern Studies 42, no. 3 (1983): 209-17. http://www.jstor.org/stable/545074.
As a proof that no other planets above Saturn were known, all architecture modelled after the spheres and universe as it was known did not exceed the number seven:

James, Peter, and Marinus Anthony Van Der Sluijs. "Ziggurats, Colors, and Planets: Rawlinson Revisited." Journal of Cuneiform Studies 60 (2008): 57-79. http://www.jstor.org/stable/25608622
As for the Stars, Thirty-Six of them were of great referential significance for the Babylonians

Van Der Waerden, B. L. "Babylonian Astronomy. II. The Thirty-Six Stars." Journal of Near Eastern Studies 8, no. 1 (1949): 6-26. http://www.jstor.org/stable/542436.
I've just discovered something while looking at all this and comparing it to old Arabic constellations in Stellarium. The "First Lucky Star of the King" in Arabic starlore is Alpha Aquarius. Alpha Aquarius is a Star of Ea - Gu.la in the Tenth Month of Tebitu. La, i'lu is designating a 'Deity'.


It is also a prefix for every deity:

https://archive.org/stream/MN40053ucmf_5#page/n195/mode/2up
Hammurabi, Anton Deimel, Alfred Pohl, R. Follet, and E. Bergmann. 1930. Codex Hammurabi. Roma: Pontificium Institutum Biblicum.
Interesting, huh?