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Thanks for the links, Scott. I added a GridImageryProvider to the globe so I could get a better sense for the center of the Earth, and it made everything very clear. This is with the "identity rotation" as the orientation of the Entity (that is, no rotation), and it's plainly visible that orientation is referenced against the earth-centered/earth-fixed frame; the X and Y axes (green and red) enters and exit at the same latitude.