The fundamental postulate of general relativity is that one can not tell the difference between the gravitational field and the uniform acceleration, which is called the equivalence principle. So according to this postulate, the gravitational field is basically the same as the source of the acceleration of the matter itself. Now, for there to be a gravitational wave, this acceleration field must be disturbed in such a way that it changes its magnitude depending on time. However, in general mechanics, the time derivative of an acceleration is not defined. That is to say, there is no da/dt, which is the time derivative of an acceleration.
If the gravitational waves were found, it means that the general equation of motion can be a third order differential equation instead of being a second order one. It breaks down the fundamental principle of Newtonian mechanics in a strange way since there is no such thing as the rate of change of the acceleration defined in the Newtonian laws of the mechanics. But then so was dipole gravity, in a different way, since an object can be physically displaced without the external force in the direction of the displacement, which occurs in the rotating hemispherical objects.
And without the detailed investigation of this effect, it was easy to dismiss dipole gravity as non existent physical entity from the start. Now with the gravitational quadrupole radiation, no one seems to pay attention on how it may violate Newtonian mechanics and the equivalence principle. For the sake of fairness, it is far more imperative to investigate dipole gravity experimentally. It won't be too late to test the quadrupole radiation effect later.
While an electric charge in circular motion around a positively charged ion loses energy by electromagnetic radiation, although the electron keeps its stable orbit around the proton due to the quantum effect, the satellite matters orbiting around the heavy condensed stars do not lose energy by radiation. Therefore, the constantly accelerating mass due to its circular motion around a host stellar object does not produce the gravitational waves.
This is the fundamental physical difference between the electrodynamics and the gravity. If the gravity is the same as the acceleration field of an object, the gravitational radiation must be a time derivative of the acceleration field itself, which is not defined in mechanics, although, this point may need more serious debate.
The energy loss observed from the fast rotating binary stars has been considered an evidence of the gravitational radiation. However, the space debris that being attracted by the two mass pole star system will see the center of mass of the two stars as the focal point of the gravitational attraction when viewed from the far distances. The impact of the debris with the two massive stars will be perpendicular to the rotational motion of the individual stars. This will create enough losses of the angular momentum and could account for the major energy loss. Therefore, this observation can not be considered an ultimate proof of the existence of the gravitational waves.
What it fundamentally suggests is that the gravitational wave may be harder to produce than one would imagine, if not impossible.
One possible application of dipole gravity may be that one can easily change the geometrical configuration of the rotating hemispherical object by using many layers of independently rotating discs or rings. This can be made to produce a longitudinal(directional) dipole gravity pulses like a pulsating beam of light which can be used to remotely pull or push objects where the pulsed dipole gravity beam may be pointed at.
Still, in this case, the pulsating beam of a directional dipole gravity is fundamentally different from the quadrupole gravitational radiation typically understood in the field of gravitation and general relativity.