A comment on spiral motions in projective relativity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Galactic Structure, Projective Geometry, Relativity, Spiral Galaxies, Two Body Problem, Astronomical Models, Galactic Rotation, Oort Cloud, Orbital Mechanics

Scientific paper

Analytical arguments are presented to demonstrate that the spiral trajectories of particles infalling to a central mass in the two-body problem do not serve as a model for the spiral structure and kinematical properties of galaxies. It is noted that current astronomical data only show concentrations of young objects in galaxy spiral arms, and not mass concentrations. Oort's constant is shown to be applicable only in the solar neighborhood. Finally, the application of projective relativity to describing the spiral structure of galaxies is demonstrated to involve length and velocity scales which exceed those of galactic inner structures.

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