Exploring the sky localization and early warning capabilities of third generation gravitational wave detectors in three-detector network configurations

This work characterises the sky localization and early warning performance of networks third generation gravitational wave detectors, consisting different combinations detectors with either Einstein Telescope or Cosmic Explorer configuration in sites North America, Europe Australia. Using a Fisher matrix method which includes effect earth rotation, we estimate uncertainty for $1.4\text{M}\odot$-$1.4\text{M}\odot$ binary neutron star mergers at distances $40\text{Mpc}$, $200\text{Mpc}$, $400\text{Mpc}$, $800\text{Mpc}$, $1600\text{Mpc}$, an assumed astrophysical population up to redshift 2 characterize its observations. We find that, $200\text{Mpc}$ network Telescope, extra Telescope-like detector Australia(2ET1CE), upper limit size 90% credible region best localized signals is $0.25\text{deg}^2$. For simulated distribution, this $91.79\text{deg}^2$. If Australia replaced Explorer-like detector(1ET2CE), case, $0.18\text{deg}^2$, while it $56.77\text{deg}^2$. note that 1ET2CE can detect 7.2% more than 2ET1CE network. In terms performance, both provide warnings order 1 hour prior merger uncertainties 30 square degrees less. Our study concludes good compromise between stars detection rate, capabilities.