Krusinski-Pisa-Goelzer

The Krusinski-Pisa-Goelzer house system is one of the newest additions to the astrological toolkit, developed independently in 1995 by the Polish mathematician Bogdan Krusinski and shortly after by the French researcher Jan Goelzer. The system is based on a series of great circles that pass through the ecliptic poles — the two points perpendicular to the plane of Earth's orbit around the Sun. By dividing the ecliptic using these pole-anchored great circles, the method creates house cusps through a mathematically rigorous process that is both geometrically elegant and astronomically grounded. The result is a set of houses that reflects the actual three-dimensional structure of the celestial sphere rather than relying on approximations or time-based interpolation. One of the most significant practical advantages of the Krusinski system is its consistent behavior at all geographic latitudes, including polar regions. Many traditional house systems — particularly time-based ones like Placidus and Koch — encounter mathematical difficulties or produce distorted houses at extreme latitudes where certain degrees of the ecliptic never rise or set. Krusinski-Pisa-Goelzer avoids these problems entirely through its pole-based geometry, making it equally valid for charts cast in tropical, temperate, and polar zones. While the system has not yet achieved widespread adoption in mainstream astrological practice, it has attracted interest from mathematically oriented astrologers and researchers who appreciate its theoretical consistency. The emergence of Krusinski-Pisa-Goelzer reminds us that astrology is not a closed system but a living discipline capable of incorporating new mathematical insights. It demonstrates that the ancient question of how to divide the sky into meaningful sectors continues to inspire creative solutions in the modern era. For practitioners interested in the intersection of mathematical rigor and astrological meaning, this system represents a frontier — an invitation to test whether newer geometric approaches can yield insights that complement or challenge those of time-honored methods. Its very existence enriches the conversation about what houses truly represent and how we might best map the relationship between celestial geometry and human experience.