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Notes, analyses and observations

Working notes, real-chart analyses and observations from research practice — without hasty conclusions or astrology jargon for its own sake.

In this article, we derive math equations for spherical triangles, including the well-known theorem of sinuses.

How to convert one spherical coordinate system to another? What are the rotation matrices, and how to use them?

What do sine and cosine mean, where do they come from, and how are coordinates of the celestial point relate to them

What is the circle of position, mundane position, and conjunction with the cusp in the Regiomontanus house system?

What is the curve of planetary position, mundane position, and conjunction with the cusp in the Placidus house system?