On two mass estimators for clusters of galaxies
Héctor Aceves and
Received 20 July 1998 / Accepted 4 February 1999
The two most common mass estimators that use velocity dispersions and positions of objects in a stellar system, the virial mass estimator (VME) and the projected mass estimator (PME), are revisited and tested using N-body experiments. We consider here only spherical, isolated, and isotropic velocity dispersion systems.
We have found that the PME can overestimate masses by %, for realistic cluster mass profiles, if applied only to regions around the total system's effective radius. The VME can yield a correct mass at different radii provided that the potential energy term is correctly taken into account and the system is completely sampled; otherwise, it may lead to similar errors as the PME.
A surface pressure () term recently alluded to be usually neglected when using the VME and therefore required as a correction term is here found not necessarily required, although it can be used to yield a reasonable correction term. The preferred method here, however, is the virial theorem due to its simplicity and better agreement with N-body experiments. The possible reasons for the mass discrepancies found when using the PME and the VME in some N-body simulations are also briefly discussed.
Key words: celestial mechanics, stellar dynamics galaxies: clusters: general
Send offprint requests to: H. Aceves (email@example.com)
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© European Southern Observatory (ESO) 1999
Online publication: April 19, 1999