2025, 56(4), 1-9, 10.61649/kujos/v56i4.25.19, Dec. 30, 2025
This study aims to develop a unified method for solving central-force problems, specifically the Kepler problem, through quadratic energy decomposition and trigonometric parameterization. The results show that this approach provides closed-form solutions for conic-section orbits, including prece…