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The authors of this journal paper explore the geodesic movement on an effective four-dimensional hypersurface that is embedded in a five-dimensional Ricci-flat manifold described by a canonical metric, in order to applying to planetary orbits in our solar system. Some important solutions are given, which provide the standard solutions of general relativity without any extra force component. They study the perihelion advances of Mercury, the Earth and Pluto using the extended theory of general relativity (ETGR). [Source: Canadian Journal of Physics]
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