That took all of my brain power. After the width calculations, this was slightly easier, also because I have a basic understanding of parabolas, and coordinates on software but it still had me scratching my head so much 🤣. The moon and sun now go across an entire cycle during the day and night (I have defined night as a time when it starts getting dark, at least where I am which is 7pm). At 6am it switches back to the sun, and does the parabola again.
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