Mass of cluster question in astronomy

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SUMMARY

The discussion centers on estimating the mass of a galaxy cluster with a radius of 2 Mpc and a typical galaxy speed of 1500 km/s. Participants highlight the need for a formula that relates mass, speed, and radius to derive the cluster's mass. The relevant equation for this calculation is derived from the virial theorem, which connects the kinetic energy of the galaxies to the gravitational potential energy of the cluster. The lack of a clear starting point for applying these concepts is a common challenge among participants.

PREREQUISITES
  • Understanding of the virial theorem in astrophysics
  • Familiarity with basic concepts of galaxy clusters
  • Knowledge of gravitational dynamics
  • Ability to perform unit conversions in astrophysical contexts
NEXT STEPS
  • Research the virial theorem and its application in astrophysics
  • Learn how to calculate mass using the formula M = (v^2 * r) / G
  • Explore the dynamics of galaxy clusters and their formation
  • Study the relationship between galaxy speed and cluster mass
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding the dynamics and mass estimation of galaxy clusters.

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Homework Statement



You observe that in a rich cluster of radius 2 Mpc, galaxies move with a typical speed of 1500km s^(-1). Estimate the mass of the cluster.

Homework Equations



I can't seem to find any type of formula that makes sense to me in regards to this question.

The Attempt at a Solution



I don't even know where to begin. I though of using a simple mass formula, but I can't find one that uses speed and radius as givens.
 
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