This paper presents a detection algorithm for constellation faults on LPV-200 precision approach. In particular, this work focuses on the Earth Orientation Parameters (EOP) faults which are the only Constellation Wide Fault listed in the current GPS Standard Positioning Service and Performance Standard. These faults are particularly hazardous for single-constellation RAIM algorithms since they cannot be detected by measurement redundancy. This paper investigates the properties of the rotation of the ephemeris-based satellite positions caused by EOP fault and its impact in the pseudorange fault vector. This work will show that EOP faults are constrained, aspect that can be exploited in the pseudorange domain. Under a dual constellation GPS-Galileo scenario, we develop an Integrity Risk evaluation method based on Residual Based RAM specifically designed to account for EOP faults. In addition, this paper investigates different EOP constellation fault scenarios based on the independence of the fault across constellations. We finally show that EOP determination process at the ground and satellite ephemeris updating method play an essential role in the availability performance.