Gravitational Field Measurements (Energy Based)

This work presents a computational framework for modeling gravitational fields on celestial bodies, particularly exoplanets, where internal structures and mass distributions are uncertain. Unlike traditional methods, this approach calculates gravity using energy interactions and stress-energy tensor formulations rather than mass-based assumptions. The framework includes: Field energy redistribution equations, integrating stress-energy gradients for precise gravitational field modeling. Rotational corrections, incorporating frame-dragging and anisotropic stress effects for fast-rotating planets. Tidal stress modeling, refining gravitational field calculations for exoplanets influenced by stellar forces. By offering a scalable, first-principles approach, this tool enables improved exoplanet characterization and gravitational field predictions, supporting missions like JWST, PLATO, and TESS. This framework expands the toolkit for celestial mechanics, ensuring more accurate gravitational calculations across diverse planetary environments.