Regional Jet 900 (CRJ900)
Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 120
Time Pressure; Communication Breakdown; Situational Awareness
Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter Weather / Turbulence
Flight Crew Became Reoriented
Human Factors
In cruise I messaged Dispatch and asked the RVR for [Runway] XXR.  They told me 1400 for [Runway] XXR.  About 30 minutes from arrival we started our brief. We briefed the arrival and the approach plate for [Runway]. We then briefed the CAT2 checklist. We both put 705 feet in our DH and verified it. We did the decent check and verified it again. Did the approach check and was getting vectors to [Runway] XXR. Gear down flaps 45 before the marker.  I called 1;000 feet cleared to land when I knew something was wrong. I couldn't grasp why we only had 300 feet left to go missed. Told the First Officer something wasn't right. We hit minimums at 705 feet AGL and I called the missed. Did the missed approach; cleaned up aircraft and did the checklist. Didn't take me long to figure out what I did. The RA for [Runway] XXR is 116 feet. We put the new DH in and took our time to get set up for approach.  We got vectors on the LOC and shot the approach to a landing.We both missed the right number for the DH. I knew the approach would be to minimums so I was looking at chart in cruise so I wouldn't miss anything.  Ended up on a go around at 700 feet AGL because we had the MDA in. It was first flight of day we both felt good. Just the low visibility at destination caused a threat.Even after the lengthy briefing and checklist usage the DH was still put in there wrong. What I have learned over my career is not to get upset at the moment you realize you did something wrong.  Great training over the years and good CRM has trained me to fly the airplane. Run the appropriate checklists and then discuss what happened at a safe time later.
We incorrectly set the 705 feet in the DH for a CAT 2 approach and logically got the mins aural alert more than 500 feet early. We executed a go-around; set up the DH properly and flew the second approach normally.
CRJ--900 flight crew reported setting the wrong DH for the approach and executing a missed earlier than required.