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  United States President Lyndon Johnson states that the United States should stay in South Vietnam until Communist aggression there is ended.
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  February 3 – The unmanned Soviet Luna 9 spacecraft makes the first controlled rocket-assisted landing on the Moon.
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  March 29 – The 23rd Communist Party Conference is held in the Soviet Union; Leonid Brezhnev demands that U.S. troops leave Vietnam, and announces that Chinese-Soviet relations are not satisfying.
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  April 2 – The Indonesian army demands that the country rejoin the United Nations.
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  August 1
 Sniper Charles Whitman kills 13 people and wounds 31 from atop the University of Texas at Austin Main Building tower, after earlier killing his wife and mother.
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  August 23 - two hundred Gurindji people walk off Wave Hill Station in the Northern Territory in protest at low wages and poor conditions
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  September 6 – In Cape Town, the South African architect of Apartheid, Prime Minister Hendrik Verwoerd, is stabbed to death by Dimitri Tsafendas
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  October 3 – Tunisia severs diplomatic relations with the United Arab Republic.
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  December 22 – Prime Minister Ian Smith declares that Rhodesia is already a republic.