Crash of a Rockwell 680W Turbo II Commander in Atlanta

The pilot reported that on the previous flight, the center fuel tank gauge was malfunctioning and indicated 800 lbs even when it was full with 1400 lbs. After landing at Charlotte, NC, it was still indicating 800 lbs. Before takeoff, the center tank was refilled. While en route about 40 miles west of Atlanta, GA, the pilot noted that the fuel gauge indicated 500 lbs and was dropping rapidly. A few minutes later, both engines flamed out. Vectors were obtained to fly to the nearest airport. During the descent, the engines were restarted. The pilot intercepted the ILS and remained high on the glide slope. The weather at the airport was reported as 100 feet overcast, visibility 1/4 mile with fog and rain. The aircraft broke out of the clouds approximately 2/3 of the way down the runway, then continued off the end of the runway and went thru ILS antenna array. An exam revealed the center fuel cap was missing, it was found in the grass near the parking ramp at Charlotte. The fuel cap was found to be worn and would not lock securely.