In this paper we present a remodeled form of Einstein's relativity theories that retains and incorporates only experimentally proven principles. This remodeled relativity theory (RRT) follows the methodology of nature and is based on a generalized law for spinning and rotational motion, which is in fact the conservation law of momentum vector direction and can be successfully used to precisely compute planetary and lunar orbits. The most fundamental principles of RRT are the conservation laws of energy and momentum. Based on eight decades of relativity experiments, we adopted two fundamental principles: one, that energy level is the underlying cause of relativistic effects, and, two, that mass is expressed by Einstein's relativistic energy equation. From the space-age ephemeris generation experience, following nature's way of conserving energy and momentum, we found sufficient reason to replace the concept of "relativity of all frames" with that of "nature's preferred frame,"which helped us to escape the dilemma faced by Einstein up until 1912, when he concluded that "thereis no way of escape from the consequence of non-Euclidean geometry, if all frames are permissible." Einstein formulated the general theory as a law for all coordinate systems, but physicists and astronomers have continued to adopt one or another ad hoc approach that does not completely conform with the basic tenets of Einstein's theories. Based on the few well-proven basic principles mentioned above, a comprehensive remodeling effort by us led to the proposed theory, which uses Euclidean space to consistently and successfully simulate numerically the results of all the "wellestablished" tests of the general theory at their current accuracy levels (as presented in our earlier papers), and to precisely calculate relativistic effects observed in the case of global positioning system applications, accurate macroscopic clock experiments, and other tests of the special theory. Utilizing the essential essence of Einstein's theory, and enriched by the benefits of numerous spaceage experiments, this theory can by its capability and consistency be proved to avoid the inadequacies of Einstein's theory.