This work presents the formal derivation of the Fortier Gravitational Laws, a mass-based gravitational framework that reorganizes orbital and barycentric dynamics without invoking additional physical constants or external assumptions. The formulation establishes a complete and self-consistent set of relations linking mass, time, distance, velocity, kinetic energy, and barycentric geometry across all orbital regimes.Series 1 describes the standard gravitational regime, including orbital distances, barycentric anchoring of spin, maximum spin limits, and the effective gravitational force. Series 2 characterizes the transition to total barycentric anchoring, in which two bodies rotate jointly around a common center and intrinsic spin collapses. Series 3 provides the cumulative gravitational structure that governs orbital spacing in multi-mass systems.The framework introduces a normalized system of units—the Fortier Universal Units (F.U.U.)—revealing the underlying geometric invariants of gravitational systems independently of scale.Application to the Earth–Moon and Pluto–Charon systems demonstrates high predictive accuracy using only physical masses and a single gravitational timescale constant.This work constitutes the foundational formulation of the Fortier Gravitational Laws and forms the orbital sector of The Atoms Theory of Relativity, extending naturally from atomic to planetary and stellar scales.