CHIEF OF F.A.A. QUITS TO RETURN TO HIS BUSINESS
J. Lynn Helms, the Administrator of the Federal Aviation Administration, submitted his resignation today, saying he wanted to resume his business consulting work. President Reagan accepted the resignation expressing regret and thanked Mr. Helms for a ''job well done.'' Mr. Helms's handling of the 1981 air traffic controller's strike was, as President Reagan said in his brief letter of acceptance today, his best-known accomplishment. Mr. Helms, with the backing of the President, dismissed 11,400 strikers of the Professional Air Traffic Controllers Organization and kept the nation's airports open, though at a reduced level. The exchange of letters between Mr. Helms and President Reagan made no mention of reports that Mr. Helms's private business dealings had been under investigation.