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| The relativistic astrodynamics of spiral track is discussed in this thesis. This study shows that, in outer regions of the Milky Way galaxy, the relativistic effects, in particular, the aberration effect of relativity are the causes of logarithmic spiral tracks of the celestial bodies, which result in the flat rotation curves of the galaxy and the phenomena of dark matter in universe. As an important conclusion derived, at large galactic and cosmological distances, the ratio of the inertia to the gravitational mass of an object appears the phenomenon of running between the different local inertial viewers. Such a geodesic deviation from the equivalence principle is the performance of relative acceleration between two local Lorentz frame in the non-local sense. The key constants of our Milky Way galaxy are determined by this theory without dark matter, including the mass of Milky Way galaxy and the galactic orbital parameters of logarithmic spiral track in outer regions of the galaxy. |
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| Keywords: Dark matter, Astrodynamics, Equivalence principle, Rotation curves, logarithmic spiral track |
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