Optimizing Observational Strategy for Future Fgas Constraints
  The Planck cluster catalog is expected to contain of order a thousand galaxy
clusters, both newly discovered and previously known, detected through the
Sunyaev-Zeldovich effect over the redshift range 0 < z < 1. Follow-up X-ray
observations of a dynamically relaxed sub-sample of newly discovered Planck
clusters will improve constraints on the dark energy equation-of-state found
through measurement of the cluster gas mass fraction fgas. In view of follow-up
campaigns with XMM-Newton and Chandra, we determine the optimal redshift
distribution of a cluster sample to most tightly constrain the dark energy
equation of state. The distribution is non-trivial even for the standard w0-wa
parameterization. We then determine how much the combination of expected data
from the Planck satellite and fgas data will be able to constrain the dark
energy equation-of-state. Our analysis employs a Markov Chain Monte Carlo
method as well as a Fisher Matrix analysis. We find that these upcoming data
will be able to improve the figure-of-merit by at least a factor two.
