Alexey Borealis
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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.

Primary Direction in Placidus System

Primary Direction in Placidus System

A complete guide for astrologers: calculating a primary direction in Placidus house system with math formulas.

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A Circle of Mundane Aspects

A Circle of Mundane Aspects

Once it comes to primary directions, we need to observe the circle of aspects that doesn't coincide with the ecliptic.

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Mundane Position in the Placidus System

Mundane Position in the Placidus System

Equation of the mundane position of a planet from its right ascension and declination in Placidus house system.

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House Cusps in Placidus System

House Cusps in Placidus System

What is the mathematical equation for calculating the house cusps in the Placidus house system? For prof. astrologers

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Equatian of the Ecliptic

Equatian of the Ecliptic

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

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Equation for ASC & MC

Equation for ASC & MC

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

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What are the Sidereal Time and RAMC?

What are the Sidereal Time and RAMC?

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

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Ascension Difference Equation

Ascension Difference Equation

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

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How to Convert Ecliptical coordinates to Equatorial And Vice Versa?

How to Convert Ecliptical coordinates to Equatorial And Vice Versa?

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

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Spherical Triangles Equations

Spherical Triangles Equations

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

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