Apollo, Soyuz Test Project Was A Joint Endeavor Of The United States And The Soviet Union: The Basic Mission Was A Docking Rendezvous. At 8:20 A.M. New York Time Soyuz Took Off From Baikonur, Kazakstan, U.S.S.R. And At 3:30 P.M. New York Time Apollo Form Kennedy Space Center, Florida, U.S.A. Both Modules Met In Space For A Link Up At 12:09 P.M., July 17, 1975.