A partial solar eclipse occurred on January 5, 1935.http://en.wikipedia.org/wiki/Solar_eclipse_of_January_5,_1935An annular solar eclipse occurred on January 5, 1954.http://en.wikipedia.org/wiki/Solar_eclipse_of_January_5,_1954
The discovery of the Evershed effect was made on 5th January 1909 http://en.wikipedia.org/wiki/Evershed_effect
Martin Brendel obtained the first successful photograph of the aurora borealis at Bossekop in northern Norway in 1892https://books.google.co.uk/books?id=iZk5OOf7fVYC&pg=PA450
Befana is an old woman in Italian folklore who delivers gifts to children on Epiphany Eve http://astronomy.activeboard.com/t9779558/la-befana/Twelfth Night is a festival in some branches of Christianityhttp://astronomy.activeboard.com/t52140936/twelfth-night/
Venera 5 was launched on 5 January 1969 http://en.wikipedia.org/wiki/Venera_5NASA's Space Shuttle program was formally launched on January 5, 1972http://en.wikipedia.org/wiki/Space_Shuttle_programGSLV-D5/GSAT 14 launch at 16:18 hrs (IST) on January 05, 2014 https://en.wikipedia.org/wiki/GSAT-14
On January 5, 1949, Charles Yeager performed the only conventional (runway) launch of the X-1 programhttp://en.wikipedia.org/wiki/Bell_X-1#Mach_1_flight
On 5 January 1941, Amy Johnson drowned after bailing out into the Thames Estuary. http://astronomy.activeboard.com/t43000531/amy-johnson/?r=332275Aviator Joseph E. Carberry sets an altitude record of 3,560 m on January 05, 1915 http://en.wikipedia.org/wiki/Joseph_E._Carberry
Edward Galen Givens, Jr (January 5, 1930 - June 6, 1967) was a NASA astronauthttp://en.wikipedia.org/wiki/Edward_GivensHarold Charles Gatty (5 January 1903 - 30 August 1957) was an Australian aviation pioneer. http://en.wikipedia.org/wiki/Harold_GattyJeannette Ridlon Piccard (January 5, 1895 - May 17, 1981) was an American high-altitude balloonisthttp://en.wikipedia.org/wiki/Jeannette_PiccardJulius Reichelt (1637 - 1717) was a German mathematician and astronomerhttp://en.wikipedia.org/wiki/Julius_ReicheltJulio Garavito Armero (January 5, 1865 - March 11, 1920) was a Colombian astronomer.http://en.wikipedia.org/wiki/Julio_Garavito_ArmeroNicole-Reine Lepaute (née Etable; 5 January 1723 - 6 December 1788) was a French astronomer http://en.wikipedia.org/wiki/Nicole-Reine_LepauteGeorge H. Rieke (born January 5, 1943), a noted American infrared astronomerhttp://en.wikipedia.org/wiki/George_H._RiekeDame Kathleen Mary Kenyon (5 January 1906 - 24 August 1978), was a leading archaeologist of Neolithic culturehttp://en.wikipedia.org/wiki/Kathleen_KenyonThe Queen of Shebah is thought to have been born on January 5, sometime in the 10th century BC.http://astronomy.activeboard.com/t52141076/the-queen-of-shebah/
Star Trek: "The Galileo Seven" was broadcast by NBC on January 5, 1967.
NGC 2502 was discovered by John Herschel on the 5th January 1837http://astronomy.activeboard.com/t56148383/ngc-2502/NGC 2925 was discovered by John Herschel on the 5th January 1837http://astronomy.activeboard.com/t56148387/ngc-2925/NGC 3431 was discovered by Francis Preserved Leavenworth on the 5th January 1887http://astronomy.activeboard.com/t56148399/ngc-3431/
Transit of the magnitude 10.1 Eskimo nebula (NGC 2392) in the constellation Gemini at 00:35 UT, 5th January http://en.wikipedia.org/wiki/Eskimo_NebulaOn 5 January 2010, scientists announced the discovery of two planets orbiting around HD 9446http://en.wikipedia.org/wiki/HD_9446The dwarf planet Eris was discovered on January 5, 2005http://www.pbs.org/wgbh/nova/space/brown-planet.html
8P/Tuttle (also known as Tuttle's Comet or Comet Tuttle) was discovered in 1858http://en.wikipedia.org/wiki/8P/Tuttle
The Morristown UFO hoax occurred on Monday, January 5, 2009http://en.wikipedia.org/wiki/Morristown_UFO_hoaxThe Beta Bootids is a weak shower that begins on January 5http://en.wikipedia.org/wiki/Bo%C3%B6tes#Meteor_showers
MeteoritesNo historical meteorite falls today, AFAIK