What the Americas do hold, at length, is astronomical and calendrical systems developed independently of anything in this vocabulary, and the atlas covers them under their own names rather than folding them into a Western scheme.
The Mesoamerican calendars are the clearest case. The 260 day tzolkin of twenty day signs and thirteen numbers, the 365 day haab, and the Long Count are Maya and wider Mesoamerican constructions with their own internal logic, their own deities and their own divinatory use. The Aztec tonalpohualli runs on the same 260 day cycle with its own day signs and its own lords of the night. Andean, North American and Amazonian traditions carry further systems again, several of which read the sky by dark cloud constellations and by horizon calendars rather than by a zodiac at all.
None of these is a version of the Greek technique and none translates into it. A zodiac sign does not map onto a day sign, a planetary ruler does not map onto a lord of the night, and an attempt to run the correspondence produces something belonging to neither tradition.
So this entry stays narrow on purpose. Its subject is the classical chorography's silence about the hemisphere, which is a fact about the chorography. The living and historical traditions of the Americas are described in the atlas under their own entries, in their own terms, and several of them are practised today by communities who are the authority on them.
Sources Maya Hieroglyphic Writing: An IntroductionJ. Eric S. Thompson with Time and the Highland MayaBarbara Tedlock