Narrative:

We were inbound to beuty intersection on the milton arrival at 10;000 feet/300 KIAS as assigned by new york center. Radio traffic indicated that there was a parachute jump aircraft in the vicinity of beuty at 12;500 feet VFR. He was in communications with new york center. As we approached the intersection; the pilot of the jump aircraft announced that his jumpers were away and asked center for instructions to begin his spiral down. At this point I noted a traffic alert hit on the jump aircraft at 12 o'clock; inside of 2.5 miles and 1;600 feet above us. The next hit which was mere seconds later was +200 and less than 1 mile. At this point I acquired the aircraft visually and he appeared to be rolling out at our 12 o'clock position and co-altitude; opposite direction. I immediately disconnected the autopilot and began an aggressive climbing right turn to avoid a midair. As I did so we received a 2000ft/min climb RA. As I complied with the RA; the pilot monitoring announced our TCAS climb to ATC. At our nearest point; it appeared our aircraft came within 100 feet altitude and 1/2 mile laterally. In my estimation; a midair would've most likely occurred without our evasive action. New york center was advised of our intent to file this report and I advised the [company] upon landing so that other inbound aircraft would be made aware of the threat on the milton arrival.

Google
 

Original NASA ASRS Text

Title: A flight crew reported an airborne conflict with a jump aircraft on arrival to LGA.

Narrative: We were inbound to BEUTY intersection on the Milton Arrival at 10;000 feet/300 KIAS as assigned by New York Center. Radio traffic indicated that there was a parachute jump aircraft in the vicinity of BEUTY at 12;500 feet VFR. He was in communications with New York Center. As we approached the intersection; the pilot of the jump aircraft announced that his jumpers were away and asked Center for instructions to begin his spiral down. At this point I noted a Traffic Alert hit on the jump aircraft at 12 o'clock; inside of 2.5 miles and 1;600 feet above us. The next hit which was mere seconds later was +200 and less than 1 mile. At this point I acquired the aircraft visually and he appeared to be rolling out at our 12 o'clock position and co-altitude; opposite direction. I immediately disconnected the autopilot and began an aggressive climbing right turn to avoid a midair. As I did so we received a 2000ft/min climb RA. As I complied with the RA; the Pilot Monitoring announced our TCAS climb to ATC. At our nearest point; it appeared our aircraft came within 100 feet altitude and 1/2 mile laterally. In my estimation; a midair would've most likely occurred without our evasive action. New York Center was advised of our intent to file this report and I advised the [company] upon landing so that other inbound aircraft would be made aware of the threat on the Milton arrival.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.