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Estimating the masses of galaxy groups - Alternatives to the virial theorem
Heisler, J.; Tremaine, S.; Bahcall, J. N.
AA(MIT, Cambridge, MA), AB(MIT, Cambridge, MA), AC(Institute for Advanced Study, Princeton, NJ)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 298, Nov. 1, 1985, p. 8-17. (ApJ Homepage)
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NASA/STI Keywords:
Astronomical Models, Galactic Clusters, Mass, Virial Theorem, Many Body Problem, Monte Carlo Method
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The authors present three alternatives to the virial theorem for estimating the masses of groups of galaxies. The projected mass estimator uses the mean value of Vi2|Ri|, where Vi and Riare the radial velocity and projected separation of galaxy i from the group center. The other two methods rely on the average and median of (Vi-Vj)2|Ri-Rj| over all pairs of galaxies in the group. These three estimators and the virial theorem estimator are tested using a series of N-body simulations and Monte Carlo realizations of Michie models. The authors use the mass estimators to calculate the masses and mass-to-light ratios of nearby groups catalogued by Huchra and Geller. The results confirm their work, implying that there is a large amount of dark mass in groups on scales of ≡700 kpc.

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