Physics
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997aps..apr.m1105b&link_type=abstract
American Physical Society, APS/AAPT Joint Meeting, April 18-21, 1997, abstract #M11.05
Physics
Scientific paper
Recently Bartlett & Su have shown that there are only three central potentials that allow a uniqueness theorem. (D.F. Bartlett & Y. Su, Am J. Phys. 62, 683 (1994)) Two of these, the newtonian and Yukawa, are familiar. The third, e^± ikr/r has hardly been studied at all. I consider the potential GM cos(kr)/r as an alternative to dark matter. The universal wavelength λ = 2π/k = 1800 lt-yrs comes from the only thoroughly catalogued system of galactic shells, those around the elliptical, NGC 3923. This λ is confirmed by the location of the gravitationally lensed images in the Einstein Cross. The potential can also explain several features of our Galaxy. The central bar is related dynamically to the spiral arms and, surprisingly, to the distant dwarf spheroidals. The radial oscillations of the potential provide the strong galactic tidal force that may be required to nudge distant comets into the inner solar system. The large, periodic oscillation of the sun within this radial pocket gives a unique mechanism for exposing the solar system to a periodic tidal force. The period of this oscillation and the period of cratering and mass extinctions agree, within errors.
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