Virial theorem for a Newtonian-Yukawa-type gravitational potential - Implications for the missing mass problem

Astronomy and Astrophysics – Astrophysics

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Gravitation Theory, Gravitational Fields, Missing Mass (Astrophysics), Newton Theory, Virial Theorem, Galactic Clusters, Galaxies, Kinetic Energy

Scientific paper

The Newtonian-Yukawa potential of Sanders (1986) is used to simultaneously solve the missing mass problems for galaxies and galactic clusters, and a virial theorem based on the amplification factor sigma has been developed to determine dynamical masses. A Monte Carlo technique is employed to calculate theoretical overestimation values (ratios of the Newtonian virial mass to the determined dynamical mass). Two domains of overestimation have been identified, one for galaxies and the other for clusters. The intersection of these domains is shown to define universal values for the coupling coefficient (muu = 0.985 + or - 0.005) and the scale (lambdau = 2.4 +2.6, -1.4 Mpc).

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