A geometric method to locate Neptune
Siddharth Bhatnagar, Jayanth P. Vyasanakere, Jayant Murthy
TL;DR
This paper introduces a new geometric approach to determine Neptune's orbital parameters and mass without curve fitting, providing an educational method for understanding planetary orbits.
Contribution
It presents a direct geometric method for orbital parameter estimation, avoiding curve fitting, and applies it to Neptune using high-precision planetary data.
Findings
Successfully determined Neptune's orbital parameters and mass
Provided a pedagogical approach for orbital mechanics education
Demonstrated the method's effectiveness with real planetary data
Abstract
We develop a direct geometric method to determine the orbital parameters and mass of a planet, and we then apply the method to Neptune using high-precision data for the other planets in the solar system. The method is direct in the sense that it does not involve curve fitting. This paper, thereby, offers a new pedagogical approach to orbital mechanics that could be valuable in a physics classroom.
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