CL65 AND A JUMP ACFT HAD A TCASII RA IN ATL CLASS B AIRSPACE.

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TOOK OFF RWY 9R ATL; ENRTE TO ILM. FLEW 095 DEGS AFTER TKOF. CLBED TO 10000 FT; LEVELED OFF; AND ACCELERATED TO 300 KTS. ATC TOLD THE ACFT IN FRONT OF US TO MAINTAIN 10000 FT; TURN HDG 360 DEGS. THIS NOT A NORMAL PROC. WE WERE SOON ISSUED THE SAME INSTRUCTIONS. WE WERE TOLD THAT CTR WOULD NOT ACCEPT THE HDOF. HE ALSO TOLD US TO SLOW TO 250 KIAS. SOON AFTER; TCASII GAVE US A TA. I SELECTED THE TFC SCREEN ON MY EFIS AND OBSERVED A TARGET AT 1:30 POS; 5 MI; 1000 FT BELOW; CLBING AND CLOSING RAPIDLY. 2 SECONDS LATER; TCASII ISSUED AN RA 'CLB; CLB.' I TURNED OFF THE AUTOPLT AND BEGAN A +3000 FPM CLB AS INDICATED. I DID THIS QUICKLY AND DEFINITELY HIGHER THAN NORMAL G-FORCES WERE OBSERVED. PASSING THROUGH 11500 FT; ATC SAID 'I SEE YOU ARE CLBING FOR TFC WARNING; TURN R 090 DEGS.' AT THIS TIME THE TFC WAS AT OUR 3 O'CLOCK POS. WE SAID UNABLE DUE TO TFC. HE SAID 'OK; WELL; WHEN ABLE.' AT SOME TIME DURING THIS EXCHANGE; HE MENTIONED THAT THE ACFT WAS A PARACHUTE DROP ACFT. THIS INCIDENT WAS CAUSED BY ZTL'S SUDDEN INABILITY TO TAKE THE HDOF. WX WAS CAVU; NO ACFT WERE DEVIATING. THE ONLY THING I CAN THINK OF IS A COMPUTER PROB. WE WERE EVENTUALLY HANDED OFF TO ANOTHER SECTOR. WE HAD TO STAY AT 10000 FT FOR AN EXTENDED TIME BECAUSE NEITHER APCH NOR THE SECTOR ABOVE US WOULD TAKE US.