The Extended Curvature Orbital Principle: Rotation, Curvature, and Moons

This work introduces a testable principle in orbital dynamics that links planetary rotation to the possibility of hosting natural satellites. Building on Newton’s description of gravity as a force and Einstein’s reinterpretation as curvature, the framework presented here proposes a unifying extension: without sufficient rotational support, no stable orbital domain for moons can exist. The paper develops the mathematical outline of this principle, derives its observational consequences, and specifies falsification criteria. By addressing classical counterarguments and clearly distinguishing empirical predictions from interpretive models, the work aims to provide a concise and rigorous contribution to the study of orbital architecture.