Note that the parameters in the original laws as quoted in [1], have, in the above table, been co-ordinated with those as used in this series of papers.

The applicability of Newton's three general laws of motion within a relativistic Domain are affected primarily by the influence of the mass rate. This parameter modifies both the second and third laws. These modifications are such that they disturb the degree of consolidation of the original three laws, to just the relativistic first and the third. It could be said that (2.10) also incorporates the second relativistic law, thus maintaining the consolidation of all three, but it is considered that (2.10) must be augmented by (2.11) to provide a more explicit mathematical description of the second law in D₀.

When the effects of gravity are introduced, the first law is no longer applicable. This is because of the different natural states of existence within the two Domains, Pseudo-Euclidean Space-Time and the Gravitational Space-Time. The first law has thereby to be re-stated and effectively becomes a first law of gravitational motion. The original first law, either relativistic or otherwise, is then only applicable in the (assumed) complete absence of a gravitational field.

The fact that Kepler's three laws of planetary motion have been found to be valid under relativistic conditions with only very minor modification is not surprising. The reason is that the nature of planetary central orbits, i.e. their orbital velocities, are such as to be only minimally subject to relativistic effects.