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Advanced search Physics and Chemistry of Liquids An International Journal Latest Articles Submit an article Journal homepage Full Article Figures & data References Citations Metrics Reprints & Permissions Read this article /doi/full/10.1080/00319104.2026.2762456?needAccess=true ABSTRACT Water is essential for life and industry, often existing as aqueous solutions.
Abstract Based on Newton's laws of motion and Kepler's empirical laws, this study presents a pedagogically oriented derivation of the inverse-square law of gravitation and develops a numerical model to simulate two-dimensional planetary motion under central gravitational interaction. The governing equations are solved using a finite-difference time-stepping scheme, enabling visualization of orbital trajectories and conservation properties.
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