On dynamical analysis of hydrostatic self-gravitating sphere: application to galaxy dusters [chapter]

R. Sadat, D. Gerbal
1988 Large Scale Structures of the Universe  
Consider an hydrostatic self-gravitating sphere . The gravitational field is generated by 2 components: a visible (o) and an unseen (x). The resolution of the equations yields global quantities such as the mass (observed, unseen or total) of matter in the configuration M 0 x t , the ratio of unseen mass to visible one R = MJM Q , the mean quadratic velocity computed on the configuration V 2 o,x, C v =V 2 X /V* Q the relative concentration indicator of kinetic energy, and the relative
more » ... relative concentration indicators of x-matter and x-potentiel energy C and C x . If the dynamical analysis is performed, using visible matter only, one can derive dynamical quantities and compare them to those of the model. With an appropriate virial theorem we may write : Fig 1-Typical true mass ratio versus dynamical one (large concentration) Fip2-R <ivn versus true ratio (various weak relative concentrations) 587 J. Audouze et al. (eds.), Large Scale Structures of the Universe, 587-588. ©1988 by the IAU. available at https://www.cambridge.org/core/terms. https://doi.
doi:10.1007/978-94-009-2995-1_139 fatcat:vqpvd2idgzfzbeprldzx5ohjqq