Date: 201506
Local time of day: 1201-1800
Location: BNA.Airport, TN
Flight conditions: VMC
Weather elements / visibility: 10
Light: Daylight
Aircraft: Falcon 2000
Operator: Corporate
Operating under: Part 91
Flight plan: IFR
Mission: Passenger
Flight phase: Descent
Airspace: Class E ZME
ATC / advisory: TRACON BNA
Aircraft component: FMS/FMC
Component problem: Improperly Operated
Reporter organization: Corporate
Reporter function: First Officer; Pilot Not Flying
Reporter qualification: Flight Crew Commercial
Human factors: Workload; Human-Machine Interface
Second reporter function: Pilot Flying; Captain
Anomaly: Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Detector: Person Air Traffic Control
When detected: In-flight
Result: Air Traffic Control Issued New Clearance; Air Traffic Control Issued Advisory / Alert; Flight Crew Returned To Clearance; Flight Crew Became Reoriented
Contributing factors: Human Factors; Procedure
Primary problem: Human Factors

Narrative: We were given the RNAV CHSNE2 arrival CHSNE transition. The flight was uneventful and when checking in with center we were given the south transition. The pilot not flying put the 20C runway in the FMS from ATIS and the arrival fixes and altitude crossings were crosschecked. 20L/R and C all had the same transition on the approach. We started our descent via the CHSNE2 arrival and crosschecked the altitudes again. Upon switching to approach we were given Runway 20R and changed the FMS to reflect the right runway from the 20C. The new runway was not cross checked by both pilots and ended up being programmed as 2R; the north runway. This changed the RNAV arrival points from OLNAH to GDSTF we took up a heading via FMS LNAV to 086 to BGSTR; instead of picking up an FMS LNAV heading of 066 to OLNAH. Before we got to BGSTR the controller told us it looked like we had taken the north transition and not the south transition. He instructed us to turn to a HDG 040 and maintain 5000 Feet minimum. We descended from 6300 to 5000 feet and turned to the HDG given. There was never a TCAS alert; nor did we hear any other aircraft given instruction due to our deviation. The remainder of the flight was uneventful. The runway change came extremely late in the arrival and almost over the initial transition fix that determined the heading to take for the different runway selections. Upon landing we discussed the error and confirmed the other pilot did not verify the new runway selection. We also tried the programming of the different runway and found that indeed changing the runway changed the arrival points; to what was observed. We have reviewed our SOPs and will confirm each FMS change against the arrival chart; no matter how close or what phase of flight we are in. This will alert us to a possible deviation much sooner; and has been our standard SOP in the past.


Second narrative: [Report narrative contained no additional information.]


Synopsis: Falcon 2000 flight crew reports inadvertently selecting Runway 02R in the FMC when attempting to switch from Runway 20C to Runway 20R at ATC's direction; late in the arrival. This results in a change to the arrival transition resulting in a track deviation which is corrected by ATC.