Falcon 50 captain reported a near mid-air collision with a light aircraft after departing opf.

Attributes
ACN	1617576
Time
Date	201902
Local Time Of Day	1201-1800
Place
Locale Reference	MIA.TRACON
State Reference	FL
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	Falcon 50
Operating Under FAR Part	Part 91
Flight Phase	Climb
Route In Use	Vectors
Flight Plan	IFR
Aircraft 2
Make Model Name	Beechcraft Single Piston Undifferentiated or Other Model
Operating Under FAR Part	Part 91
Flight Phase	Cruise
Route In Use	Other unknown
Person 1
Function	Captain Pilot Flying
Qualification	Flight Crew Air Transport Pilot (ATP) Flight Crew Flight Instructor Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 50 Flight Crew Total 13350 Flight Crew Type 2800
Events
Anomaly	Conflict NMAC Deviation - Procedural Published Material / Policy
Miss Distance	Horizontal 0 Vertical 200

Narrative:

We were on an IFR flight plan. After departure; we were given vectors for left turn and assigned a 290 degree heading with clearance to climb to 9000' MSL while still in class B airspace of mia northwest of kopf airport.as we were climbing through approximately 6300' at a climb rate of approximately 2000' per minute; we were issues a traffic alert (TA) from out TCAS. I shallowed out the climb and scaled our multi-function display (mfd) to get a better look at the yellow TA traffic. As we were climbing through 6900' we were issued a resolution advisory (RA) from the TCAS to descend. I immediately matched the 1000 feet per minute down indication of the RA on the vsi and took the radio and made a 'TCAS descent' call to ATC; at which time they gave us a reply of 'make an immediate right turn to 360 degrees; traffic 2 o'clock'.in the process of maneuvering from a climb to a descent we had rounded out and were beginning the descent from about 7300' and we spotted the beech bonanza go immediately over the top of us at the same time we were initiating the right turn to 360 heading.ATC said nothing to us about contacting anyone and nothing further came from them except the hand off to mia center for the continuation of our IFR flight.

Original NASA ASRS Text

Title: Falcon 50 Captain reported a near mid-air collision with a light aircraft after departing OPF.

Narrative: We were on an IFR flight plan. After departure; we were given vectors for left turn and assigned a 290 degree heading with clearance to climb to 9000' MSL while still in Class B airspace of MIA northwest of KOPF airport.As we were climbing through approximately 6300' at a climb rate of approximately 2000' per minute; we were issues a Traffic alert (TA) from out TCAS. I shallowed out the climb and scaled our Multi-function Display (MFD) to get a better look at the yellow TA traffic. As we were climbing through 6900' we were issued a Resolution Advisory (RA) from the TCAS to descend. I immediately matched the 1000 feet per minute down indication of the RA on the VSI and took the radio and made a 'TCAS Descent' call to ATC; at which time they gave us a reply of 'make an immediate right turn to 360 degrees; traffic 2 o'clock'.In the process of maneuvering from a climb to a descent we had rounded out and were beginning the descent from about 7300' and we spotted the Beech Bonanza go immediately over the top of us at the same time we were initiating the right turn to 360 heading.ATC said nothing to us about contacting anyone and nothing further came from them except the hand off to MIA Center for the continuation of our IFR flight.

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.