Narrative:

I operated as PF (pilot flying) from ZZZ to ZZZ1. The aircraft CADC2 (central air data computer 2) had just been replaced. Prior to takeoff I asked the first officer (first officer) to state any discrepancy at 80 KIAS in hopes we could catch any issues. We were cleared for takeoff on xxl. At 80 KIAS I called '80' because I did not hear the first officer. He made a comment like 'not again!'. We were now above 100 KIAS. I again continued the takeoff. Since we had dealt with the same exact issue 3 hours prior and the TCAS was far less crowded I elected to continue the SID flying raw data. We leveled at 5000 ft MSL to run/finish checklists and finish cleaning up aircraft. I then elected to continue flying eastward. WX as far as we could see was VMC. We had issues contacting the company on both satcom and jetcom. We continued to step climb in hopes of better reception. About 20 min after takeoff at approx FL230 we finally contacted company. After talking with [maintenance and operations]; checking wx with dispatch I decided to continue to ZZZ1. Possible divert fields were all VMC. The first officer started his disapproval several times. However; we had an operating primary and standby system plus good wx. I continued. We climbed to FL370 east of zzzzz with [center]. Uneventful en route; arrival; approach and landing at ZZZ1. Reviewing our procedures and my decisions I realized the next day we entered rvsm airspace without verifying with ATC rather than two primary; independent altimeter systems we instead had a primary and standby.

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Original NASA ASRS Text

Title: Captain reported failure of CADC2 for the second time resulted in loss of Air Data on Captains side during takeoff.

Narrative: I operated as PF (Pilot Flying) from ZZZ to ZZZ1. The aircraft CADC2 (Central Air Data Computer 2) had just been replaced. Prior to takeoff I asked the FO (First Officer) to state any discrepancy at 80 KIAS in hopes we could catch any issues. We were cleared for takeoff on XXL. At 80 KIAS I called '80' because I did not hear the FO. He made a comment like 'not again!'. We were now above 100 KIAS. I again continued the takeoff. Since we had dealt with the same exact issue 3 hours prior and the TCAS was far less crowded I elected to continue the SID flying raw data. We leveled at 5000 ft MSL to run/finish checklists and finish cleaning up aircraft. I then elected to continue flying eastward. WX as far as we could see was VMC. We had issues contacting the company on both SATCOM and JETCOM. We continued to step climb in hopes of better reception. About 20 min after takeoff at approx FL230 we finally contacted company. After talking with [Maintenance and Operations]; checking wx with dispatch I decided to continue to ZZZ1. Possible divert fields were all VMC. The FO started his disapproval several times. However; we had an operating primary and standby system plus good wx. I continued. We climbed to FL370 east of ZZZZZ with [Center]. Uneventful en route; arrival; approach and landing at ZZZ1. Reviewing our procedures and my decisions I realized the next day we entered RVSM airspace without verifying with ATC rather than two primary; independent altimeter systems we instead had a primary and standby.

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.