This preprint proposes a mass-independent central-field relation linking planetary surface acceleration with cyclic orbital motion. The central mathematical expression is (R^2g = rv^2), where (R) is the planetary radius, (g) the independently reported surface acceleration, (r) the satellite orbital radius, and (v) the orbital speed.
The relation is first examined in the Earth-Moon system. Earth's measured surface acceleration and mean radius correspond to an equivalent cyclic speed of approximately 7.91 km/s. Preserving the same central parameter gives approximately 3.075 km/s at geosynchronous distance and approximately 1.018 km/s at the Moon's mean orbital distance, close to the observed orbital values. The reverse calculation reconstructs an Earth surface-equivalent acceleration of approximately 9.91 m/s² from lunar orbital motion.
Independent tests are then performed for Mars and Jupiter. Phobos and Deimos each reconstruct a Martian surface acceleration near 3.73 m/s². Io, Europa, Ganymede, and Callisto independently reconstruct values clustered around Jupiter's reported mean 1-bar surface acceleration of 25.92 m/s².
These results motivate a proposed Central Radial-Cyclic Equivalence Theorem, in which the surface term (R^2g) and the orbital term (rv^2) represent the same central kinematic parameter under a circular mean-orbit approximation.
Only after establishing the mathematical correspondence does the paper consider a physical interpretation. It proposes that radial binding in dense atomic environments and cyclic motion in low-density space may represent different geometrical manifestations of a common central electromagnetic organization. This electromagnetic interpretation is presented as a testable hypothesis rather than as a conclusion established by the kinematic equality alone.
The framework also suggests a remote-inference method for estimating surface-equivalent central acceleration in distant planetary systems from observable orbital data.