A model of gravitational waves is proposed using a complex Yukawa potential which is non-singular and predicts a dual-wave structure composed of incoming and outgoing waves. Using this potential, a fundamental gravitational wave frequency associated with the mass of the Universe is calculated to be the equal to Hubble’s Constant. The characteristic out wave frequency of the Earth is calculated to be 3.38 x 10^(-5) Hz, which is in good agreement with the range of frequency of gravitation waves as predicted by Hawking and Israel. Also, the Lorentz transformation of the outgoing wave speed to the incoming wave speed predicts the same time dilation as the G44 solution from the Einstein field equations. Measurements with a high-resolution accelerometer sampled at 200 Hz over a period of 16, 24 and 32 hours demonstrates the signals with the expected frequencies of the Earth and Moon masses. These measurements show the Moon signal having a broader and more distinct peak during Full Moon and more diffuse during New Moon, consistent with the interaction of gravitational waves on the Sun side of the measurement, which diffuses the regular Moon signal to a lower level than the Full Moon.