Determining the days and months of a year through the angle formed between the Earth, the Sun, and Sagittarius A (Sag A) involves understanding both astronomical and mathematical principles. The Earth’s orbit around the Sun defines the passage of days and months, but when considering Sag A*—the supermassive black hole located at the center of our Milky Way galaxy—it becomes more complex.
Sagittarius A* is incredibly distant, approximately 26,000 light-years away, making its angular position relative to the Earth and Sun nearly constant from our perspective on a short time scale, like a year. Therefore, it is not feasible or practical to use the angle between these three celestial bodies to mathematically track days and months within a single year.
Instead, the measurement of days and months is based on Earth’s rotation on its axis for days and its revolution around the Sun for months, which are historical and human-defined cycles. While these can be described using angles in terms of Earth’s axial tilt and its orbital path around the Sun, involving Sag A in such a description is unnecessary for the practical purpose of calendrical timekeeping within a single year. Thus, while fascinating from an astronomical standpoint, it does not provide a sensible framework for describing yearly passage of time in terms of specific angles involving Sag A.