Skylane 182/RG Turbo Skylane/RG
Flight Crew Instrument; Flight Crew Commercial
Flight Crew Last 90 Days 8; Flight Crew Total 2949; Flight Crew Type 2819
Communication Breakdown; Situational Awareness
Conflict NMAC; Deviation / Discrepancy - Procedural Published Material / Policy
General None Reported / Taken
Human Factors
In my aircraft (Aircraft X) I was positioned at the approach end but off Runway XX at ZZZ Airport; in preparation for taking Runway XX for my second takeoff of the morning. An aircraft (Aircraft Y) with a male voice pilot called inbound for Runway XY. Shortly; a female voice pilot in a Hawker aircraft (Aircraft Z) called 10 miles out for Runway XX. I radioed and advised I would wait for landing traffic Runway XY. Then; Aircraft Z called her turn to base for Runway XX. Shortly; Aircraft Y radioed he was on a 5 mile approach for Runway XY. I visually saw the incoming Aircraft Z on final approach for Runway XX at the same time she called final for Runway XX. The pilot of Aircraft Y radioed he would change to downwind for Runway XX. Aircraft Z passed visually by me as I was perpendicular to the Runway XX. I watched her land; complete her taxi and turnoff off the runway on XX taxiway; about midfield; when she called clear of Runway XX. I checked to my sides and scanned for Aircraft Y; but did not see that aircraft. I felt that with the passage of time that occurred Aircraft Y was downwind Runway XX and behind my field of vision. I called taking Runway XX with a left turnout to leave the area. I rolled; lifted off; maintained Runway XX heading for 3/4 to 1 mile; then turned left while continuing to climb. Then I heard the pilot of Aircraft Y say an aircraft just crossed under him. I looked back and saw his aircraft above; perpendicular to and ahead of my flight path. I radioed that I had just departed Runway XX having given a prior announcement that I was making a left turnout and that I thought he was much further downwind. He repeated that I crossed underneath him. I said I was sorry; but that I calculated him much further downwind based upon his call of change to downwind [Runway] XX. There was no other comment from either of us.
Pilot reported a Near Mid Air Collision during departure.