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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Hasan Constants (HC1, HC2): Universal Architectural Constants of the Solar System Derived from the Jupiter-Saturn Gravitational Boundary

Authors: Hasan, Shadab;

The Hasan Constants (HC1, HC2): Universal Architectural Constants of the Solar System Derived from the Jupiter-Saturn Gravitational Boundary

Abstract

This paper presents the discovery of two universal constants of the Solar System — HC1 (2.058 AU) and HC2 (2.322 AU) — designated the Hasan Constants. These constants are derived from the gravitational fulcrum of the nine-planet system (7.522 AU) and the orbital positions of Jupiter and Saturn. HC1 is Saturn's distance from the fulcrum; HC2 is Jupiter's distance from the fulcrum. Using only HC1, HC2, and Pi, the orbital distances of all nine classical planets, Ceres, eight Kuiper Belt Objects, Sedna, and the trans-Neptunian object Leleakuhonua (2015 TG387, semi-major axis 1080 AU, aphelion 2712 AU) are derived with errors consistently below 3%. Pi emerges independently three times from the Jupiter-Saturn boundary through three separate methods: geometric (Jupiter - HC1 = 3.142), mass-radius ratio of planetary groups (3.140), and thermal emission ratio (3.143). Seven testable predictions for undiscovered solar system objects are recorded with date stamp March 2026. Highest search priority: 81.3 AU, 84.0 AU, and 91.7 AU in the anti-Sun direction. These zones are currently unoccupied by any confirmed named object.

Keywords

H1 and H2, Hasan Constants, HC1, HC2, Solar System architecture, Jupiter-Saturn boundary, orbital distances, Pi, gravitational fulcrum, trans-Neptunian objects, Planet Nine, undiscovered objects, Shadab Hasan, Planetary science, Astrophysics, Hasan Constants,, Solar system

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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