The Hasan Constant (H = 2.322 AU): A Physically Derived Parameter for Reproducing All Solar System Orbital Distances

This paper introduces the Hasan Constant (H = 2.322 AU), a single parameter derived from the gravitational torque balance of the nine-planet solar system with the Sun excluded. Using two formulas — D = H × (n²+1)^(−1/2) for the pre-inflection region and D = H × (n²+1)^(+1/2) for the post-inflection region — the orbital distances of all nine planets, the asteroid belt, and trans-Neptunian objects (Gonggong, Sedna) are reproduced with an average accuracy of 99.05%, significantly outperforming the classical Titius-Bode law.Mars serves as the mathematical inflection point at D = √H = 1.5238 AU. The integer sequence n is physically determined by the gravitational fulcrum at 7.522 AU, which lies above the prime number 7; the nearest composite numbers 6 and 8 yield the pre- and post-inflection sequences via their divisors. The framework extends successfully to Neptune (99.32%), Pluto (99.84%), Gonggong (99.82%), and Sedna (99.58%) — regions where Titius-Bode fails completely.Three falsifiable predictions are presented: undiscovered trans-Neptunian objects near 48.77 AU and 58.09 AU, exact torque balance at 7.522 AU verifiable from NASA data, and the structural necessity of Pluto for maintaining that balance. All values are sourced from the NASA Planetary Fact Sheet.