A Spacetime Curvature Model for the Three-Body Problem: A Novel Approach to Orbital Dynamics

Abstract

The three-body problem, a cornerstone challenge in Physics today, involves predicting the motion of three interacting bodies under the influence of gravity. Traditionally approached through Newtonian Gravity models or General Relativity, both methods have their limitations. This paper proposes a simplified Spacetime Curvature Model, which conceptualizes gravity as a dynamic curvature of spacetime influenced by the positions and masses of the objects involved. By avoiding singularities and replacing the traditional inverse-square law with a smoother gravitational potential, the model offers a computationally efficient alternative while maintaining key physical insights.

Keywords: Three-body problem, Physics, Gravity, Newtonian Gravity, General Relativity, Spacetime Curvature Model, Dynamic curvature, Gravitational potential, Singularities, Computational efficiency