CORPORATE JET TAKING OFF TO THE N MADE A HIGH SPEED ABORT AND SWERVED TO AVOID AN ACR JET ON THE RWY CROSSING.

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I WAS OPERATING A HAWKER; HS125-600A. THE TAKEOFF ABORT OCCURRED IN RESPONSE TO ANOTHER ACFT TAXIING ACROSS RWY 01R AFTER I WAS CLRED FOR TAKEOFF AND BEGAN THE TAKEOFF RUN. MY ACFT HAD REACHED APPROX 90-100 KTS; WHEN I OBSERVED A LARGE ACFT CROSSING THE RWY AT TXWY 'H.' I REJECTED THE TAKEOFF AND PERFORMED A MAXIMUM BRAKING ABORT. OUR HAWKER SUCCESSFULLY COMPLETED THE ABORT AND WHILE STILL UNDER HEAVY BRAKING AT APPROX 40-50 KTS; PASSED BEHIND THE LARGE ACFT. THE ENTIRE EMPENNAGE OF THE LARGE JET WAS OVERHANGING THE (INTO) RWY AS OUR ACFT PASSED BEHIND. I HAVE SPOKEN WITH THE TOWER ABOUT THE INCIDENT. THEY HAVE INFORMED ME THAT IT WAS CAUSED BY AN 'OPERATIONAL ERROR.' SUPPLEMENTAL INFO FROM ACN 505208: I WAS BUSY CHECKING OUR ENGINE INSTRUMENTS ON TAKEOFF. THAT LEFT ONLY ONE CREWMEMBER HEADS UP. I'M GLAD HE (PF) SAW THE AIRBUS IN TIME TO INITIATE AN ABORT IN TIME TO MISS. WE HEARD NO CONTRADICTORY CLRNCS. AFTER THE ABORTED TAKEOFF WE SLOWLY TAXIED BACK IN FOR SOME BRAKE COOLING AND REGROUPING AND TO STOP THE 'SHAKES.' CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR SAID DURING THE TKOF ROLL ON RWY 01R AT ABOUT THE TIME HE WAS CHANGING FROM TILLER TO YOKE; HE PICKED UP THE LIGHTED TAIL OF AN ACR JET ON THE RWY CROSSING L TO R ON A TXWY THAT IS AT A 45 DEG ANGLE. HE DID NOT THINK THE ACR PLT COULD HAVE SEEN HIS ACFT BECAUSE OF THE ANGLE. HE SAID THEY MISSED BY ONLY 10 TO 20 FT. HE SAID THEY TAXIED BACK TO THE TERMINAL TO REGAIN THEIR COMPOSURE AND HAVE THE BRAKES CHECKED.