Light Transport
Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 100; Flight Crew Total 11000; Flight Crew Type 150
Communication Breakdown; Troubleshooting; Confusion; Distraction
ATC Issue All Types; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance
Air Traffic Control Provided Assistance; Flight Crew Returned To Clearance; Flight Crew Became Reoriented
Procedure; Human Factors; Chart Or Publication
Upon departing LGB and after a few handoffs and climb instructions; one Controller at LA Center gave us a re-routing.  This new route included adding two new fixes to our flight plan: FIXIT & IKAYE.  So the new route was direct to FIXIT - IKAYE - RZS.  As the pilot flying I was focused on aircraft control while the pilot not flying was making the appropriate changes on the FMS.  I acknowledged the first direct (to FIXIT) and proceeded to engage LNAV to FIXIT.  We were not too far from this fix by the time I proceeded direct to this fix. Moments after crossing FIXIT the pilot flying realized that we were proceeding to RZS instead of IKAYE and notified ATC of this deviation.  Workload in the cockpit prior to receiving the re-route was above normal.  The new route was properly received; acknowledged; and read back to ATC.  The pilot not flying and I were not familiar with this fixes; and the pilot not flying had to confirm the spelling of both way points; and then properly identify them on our navigation charts.  We feel that we were too close to the above mentioned fixes in order to properly (and correctly) load the fixes on the FMS and perform a cross check with both pilots about the new FMS changes.  The deviation was discovered by the pilot flying just moments after crossing the first new fix (FIXIT) and I proceeded to make an immediate right turn towards the fix while the pilot not flying informed ATC about this error.
Pilot complains about re-route with fixes they are not familiar with and having to enter them to the FMS; while flying close to the first intersection.