This study expands the Collatz-Octave Model (COM) by incorporating the HQS (23.5%) and LZ (1.23498) constants from Unified Oscillatory Dynamic Field Theory (UODFT). We demonstrate that these quantum-derived scaling factors precisely govern planetary distances, masses, and orbital velocities when integrated with COM's octave structuring.

Our analysis reveals that the Solar System's architecture emerges from a harmonic resonance pattern matching atomic energy scaling, with relativistic corrections accounting for residual deviations. The modified COM framework shows remarkable alignment with both Solar System and exoplanetary data, suggesting a universal oscillatory basis for celestial mechanics.

Logos_Astro_Xl_app - Advanced Planetary Predictor- Planetary Spacing

A sophisticated graphical application built with Python and Tkinter that predicts potential planetary orbits in exoplanetary systems using a novel mathematical resonance model based on the LZ and HQS constants.

Features

• Multi-System Analysis: Pre-loaded with parameters for 14 known exoplanetary systems (Trappist-1, Solar System, Kepler-90, etc.) and a custom system builder.
• Tunable Constants: Test predictions against seven different progressively accurate sets of the LZ and HQS constants (LZ_1 to LZ_s, LZ).
• Custom Resonance Models: Choose from five different mathematical functions (sin, tanh, exp, gaussian, lorentzian) to model orbital resonance.
• Interactive Visualization: Dynamically generated plots showing resonance strength, predicted vs. observed orbits, and constants comparison.
• Comparative Analysis: Run a batch analysis to compare the predictive power of all constant sets simultaneously.
• Data Export: Export all calculated resonance data to CSV, JSON, or Excel format for further analysis.
• Fractal Analysis: Includes a preliminary module for analyzing the fractal properties of the resonance patterns.

Predicting JWST Anomalies

Proposed JWST Observing Programs

https://github.com/gatanegro/Astro--COM/releases

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👉 gatanegro/community

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Research & Contribution Policy

This repository contains original research, mathematics, and unconventional approaches.
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Note: Apparent errors or unconventional methods are intentional and part of new theoretical work.