Date: 201511
Local time of day: 1801-2400
Location: LAX.Airport, CA
Flight conditions: VMC
Weather elements / visibility: 10
Light: Night
Aircraft: Medium Transport; Low Wing; 2 Turbojet Eng
Operator: Air Taxi
Operating under: Part 91
Flight plan: IFR
Mission: Passenger
Flight phase: Taxi
ATC / advisory: Ground LAX
Reporter organization: Air Taxi
Reporter function: Captain; Pilot Not Flying
Reporter qualification: Flight Crew Air Transport Pilot (ATP)
Human factors: Fatigue; Confusion; Distraction; Situational Awareness
Anomaly: Conflict Ground Conflict; Less Severe; Deviation / Discrepancy - Procedural Clearance; Flight Deck / Cabin / Aircraft Event Other / Unknown; Ground Incursion Runway
Detector: Person Flight Crew
When detected: Taxi
Result: Flight Crew Took Evasive Action
Contributing factors: Chart Or Publication; Human Factors
Primary problem: Human Factors

Narrative: I was a contract pilot on a crew of three pilots. Two contract captains and a copilot that was company employed. Two of crew had never flown together. We arrived LAX after departing ZZZZ 15 hours earlier; stopping through ZZZ for customs and fuel.Weather at LAX was generally good VFR with a light scattered layer at 2;400 and a higher broken layer; visibility was greater than ten miles. The aircraft was cleared to land the North Complex; Runway 24 Right. General aviation parking is located on the south side of the airport. We were a three pilot crew and flight attendant with no crew rest in the aircraft. Any crew rest was obtained by sleeping on the Galley floor or a small Lawn Chair again; located in the Galley area and or the cockpit jumpseat.Proposed departure was XD:00 with a decided show time of XA:15 local. Actual Departure was XD:30; well into our circadian low period. Arrival into ZZZ was uneventful with a 45 minute refuel/customs stop. None of the flight crews obtained any true rotational crew rest due to the lack of space and configuration. The leg from ZZZ to LAX was to be flown by the co-pilot from the right seat. All taxiing would be accomplished by the pilot in the left seat. The flight was expected to land at XC:50 local with the majority of the flight at night.After landing LAX after a 19 hour duty day to that point; all crew members were feeling extremely fatigued. There were a few radio procedural mistakes and a requirement to clarify a hold short instruction by the copilot now operating the radios. It was then read back incorrectly for the reciprocal runway. Our position was holding short of runway 25 Left at Uniform. At that time we also had a Brake temperature probe sensor spiking indication. It did draw our attention and a discussion. Although it was obviously erroneous it did divert our attention after an extremely long; fatiguing day. Runway 25 Left is the widest of the runways at 200 feet with a slight rise at that end of the runway resulting in difficulty looking across to obtain sight of the opposite taxiway entrance. At a first glance 'Uniform' also appeared as being on a slight angle to our position. Taxiway Uniform is also very wide and the lighting blended with the other markings. After a very short period of time we were instructed to cross runway 25L at taxiway uniform and follow Uniform to Taxiway Alpha. Traffic was reported a two mile final and to (I believe) expedite.We began the taxi; entered the runway and I began what I thought was the correct angle for the entry of the taxiway Uniform. Both pilots were attempting to locate the entrance but the angular path we took was too much and we had passed it. I realized it and was about to instruct the co-pilot to radio we had missed Uniform and would have to clear at Tango taxiway if possible; when the tower transmitted we were on the runway and to clear at taxiway Tango. And for a flight to go around. We expedited the taxi and cleared at the designated taxiway. Taxiing to general aviation we were informed to contact the Tower Supervisor. I was informed there would be a report and that there had been no loss of separation and no RA alert had been indicated. I indicated the basic problem in judging the taxi angle as well as obtaining site of the designated taxiway. As well our attention slightly diverted by the Brake temperature indication.




Synopsis: Air taxi Captain reported missed Taxiway Uniform while crossing LAX Runway 25L at Uniform and was cleared to continue and exit at Taxiway Tango. An aircraft on final for Runway 25L was sent around.