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Newton's gravitational constant G, which determines the strength ofgravitational interactions both in Newton's theory and in Einstein's GeneralRelativity, is the least well known of all the fundamental constants. Given itsimportance, and with recent disparities between experimental measurements, anew approach is suggested. It is based on a purely gravitational oscillatorwithout any non-gravitational restoring forces. The suggested technique isbased on the oscillation period of a test mass oscillating through a hole boredin a solid sphere in free space, or, equivalently, in orbit. The period ofoscillation depends only on the density of the solid sphere, providing a methodwith systematic errors different from terrestrial approaches to thedetermination of G. Deviations from standard Newtonian gravity and the equalityof gravitational and inertial mass can also be searched for.

Measuring Newton's Gravitational Constant With a Gravitational Oscillator