With the purported absence of the gravitational equivalent of B, the magnetic flux density of electromagnetics, in the Relativistic Domain theory of gravitation, the velocity of propogation of gravitational changes cannot be determined via the gravitational Maxwell equations, and thereby cannot be equated to the velocity of light, in the same manner as for electromagnetic waves. However, in this theory, it is quite clear that the velocity of propogation of such changes must be u_is and u_s, the spatial expansion velocity generated by the source. Reference to (C.14) and (C.25) clearly shows that any variation to the mass, M, of the source, or to s, the distance from it, results is a variation of u_is and thereby u_s which in turn carries with it a variation in the Acceleration Potential.

D.1 Variation of Mass - An Example.

The time for a gravitational shock wave, caused by a sudden change in the mass of a gravitational source, to travel a distance s is given by

Now consider the Crab Nebula, the result of a large supernova observed by Chinese and Japanese astronomers in 1054A.D. If this star were typical of the largest, with a radius of 1.4E14cm. and a mass of ~ 2E36gms, then the time taken for the leading edge of the supernova gravitational shock wave to reach Earth would be, from (D.1), (s = 5500LY).

As the actual event took place only some 6,500 years ago, clearly the shock wave will not reach Earth until long after the latter's demise.

D.2 Variation in Distance - An Example.

Assume that there is a large binary system sufficiently close such that its gravitational waves have already reached Earth. The question is whether the wave could be detected. If the system were one of a large planet or small star orbiting a very large star, then the composite temporal rate generated would be

where

u_B     is the composite temporal rate of the binary system.

a_S     is the gravitational radius of the large star.

s_S     is the distance of the large star from the measuring point, (Earth).

a_P     is the gravitational radius of the orbiting planet.

s_P     is the average orbital radius of the orbiting planet.

w_P     is the average angular rate of the orbiting planet.

then taking the spatial differential of (D.3)

and therefore the force generated on a test mass m_t, at the measuring point, is given by

where

M_S     is the mass of the large star.

M_P     is the mass of the planet.

Expanding the inverse square

So that the fundamental component of variation is inversely proportional to the cube of the distance to the large star, while the period of variation is directly proportional to the orbital angular rate of the orbiting planet.

In view of the above two examples, it is considered unlikely that gravitational waves will ever be detected on Earth, unless they emanated from a catastrophic event that occurred astronomically close by.

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