Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Confusion
Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance
General None Reported / Taken
Human Factors; Procedure
This was the third and last flight of day one on a 3-day trip. The previous two flights were very delayed resulting in quick turns. Both flights were very task saturating because they were very short. The first flight required an ILS Cat II landing into ZZZ; while the other required a non-coupled approach down to mins into LGA. Departing LGA we were assigned the LGA 5 Coney departure departing Runway 13. We set and briefed everything properly. However; on the climbout we continued flying heading 180. We failed to intercept the CRI 043R to CRI and then outbound on the 223R. We did comply with the crossing restriction and climb gradient. When we switched to departure frequency; ATC asked us to say heading; in which I; Captain (PM) replied 'heading 180.' ATC then stated 'roger;' gave us a turn direct to our first fix and a climb to 11;000 feet. It was late at night and ATC workload seemed low. ATC did not mention anything about the departure when giving us a frequency change. We didn't realize our mistake until the next morning while we were discussing it the next day. This mistake was due to multiple factors. We had a long day that was full of delays with quick turns; both crew members were task saturated from previous flights; and both crew members are ZZZ based and do not fly into or out of LGA. I also think the departure procedures are a little confusing since none of it shows up in the box or MFD and has to be manually put in. The next morning we flew into and out of JFK. We noticed that JFK had FOQA alerts for the JFK 5 departure. This would be a good idea to also implement FOQA alert or company notes in the LGA 5 departure to help alleviate some of the confusion of the LGA 5 departure; especially for those who do not operate into or out of the LGA airport.
Air carrier flight crew reported that while departing LGA via the LA GUARDIA FIVE SID; the flight continued on a heading and did not intercept the charted VOR radial. The crew cited fatigue; lack of familiarity with the departure airport and confusing SID procedures that must be manually input into the FMS; as contributing factors.