The significance of vector potentials for low-speed geodesics within metric distributions

The polar potential of rotating organizations can significantly change the centripetal acceleration in inner-zone orbits. Einstein’s celestial mechanics with four metric potentials predicts shifts in Keplerian frequencies and measurable differences in orbital speeds for direct and retrograde circulation within visible ellipsoids and disks of rotating galaxies. The conventional bulge-disk model completed by the polar potential, instead of the dark matter halo, can quantitatively match the recently measured Milky Way rotation curve up to 25 kpc. The Einstein-Grossmann geodesics from 1914 and the Heaviside gravimagnetism from 1893 predict mechanical analogies to the Aharanov-Bohm effect. Physical significance of the vector potential should be taken into account to more accurately and safely organize spacecraft missions. • Establishes a fruitful analogy between the Aharonov-Bohm effect in electrodynamics and field mechanics. • Discovers the difference between Einstein’s and Newton’s low-speed physics. • Extends Einstein’s metric formalism to nonlocal descriptions of inertial selforganizations. • Initiates conceptual probes with retrograde bodies to falsify the classical concept of empty space.