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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.

What are the correlations between right ascension, declination, and celestial latitude for any point on the ecliptic?

Suppose you know the sidereal time and local coordinates. What is the ascending degree? The math formula for ASC.

What is the right ascension of Medium Coeli, and how is it connected with sidereal time? Astrology knowledge base.

A simple way to calculate ascension difference with use of spherical triangle equation. Astrological knowledge base

What math equations are needed to express zodiacal longitude and latitude to the right ascension and declination?

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?