Generalized Newtonian force law and hidden mass

Abstract

view Abstract Citations (9) References (15) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Generalized Newtonian Force Law and Hidden Mass Liboff, Richard L. Abstract A generalized force is presented in resolution of the missing mass problem. The force appears as a closed form, two-parameter continuous function of interparticle displacement and is based on the exponential variation of the ratio of particle-mass to square displacement, in the small- and large-scale constant circular speed, in accord with observed halo galactic rotation and further, is in agreement with the infrared Tully-Fisher law. The variation in scale length is contained in a displacement-dependent exponential factor. A nondimensionalization scheme is introduced which permits present and previous generalized forces to be written as simple expressions of nondimensionalized acceleration and displacement. A graphical display of these nondimensionalized forces reveals very good agreement of the proposed force with related limiting forms in the two characteristic domains. When viewed with respect to a broad class of galaxy rotational data, it is found consistent with the present formulation to conclude that the separation from Newtonian gravitation occurs about the radius about 10 kpc. Publication: The Astrophysical Journal Pub Date: October 1992 DOI: 10.1086/186547 Bibcode: 1992ApJ...397L..71L Keywords: Dark Matter; Dwarf Galaxies; Gravitation; Kinematics; Missing Mass (Astrophysics); Spiral Galaxies; Galactic Rotation; Mass Ratios; Particle Mass; Astrophysics; COSMOLOGY: DARK MATTER; GALAXIES: KINEMATICS AND DYNAMICS; GALAXIES: SPIRAL; GRAVITATION full text sources ADS |