The 33rd episode of Rod Serling’s The Twilight Zone airs on CBS. Orson Bean stars in an episode adapted from an unsold Rod Serling series pilot.
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Toho Studios release the third Godzilla movie, King Kong vs. Godzilla, directed by Inoshiro Honda. This is the first Godzilla film in color. (Once again, the movie undergoes significant changes for its later American release.) 
The second manned Gemini flight, Gemini 4, lifts off with Jim McDivitt and Ed White aboard for a four-day mission. Four hours into the flight, White becomes the first American spacewalker, controlling his movement with a handheld device with small jets allowing him to change his own orientation, though he is tethered to the Gemini capsule at all times. This is the first NASA flight overseen from the new Manned Space Center constructed in Houston, Texas, and the first to be broadcast live worldwide.
Gemini 9 lifts off on a three-day mission to complete the still unfulfilled docking objectives of the Gemini program. The flight has already seen significant problems, not the least of which is the death of the originally-assigned crew, Elliott See and Charles Bassett, in an accident involving T-38 training jets. The backup crew, Thomas Stafford and Gene Cernan, fly Gemini 9 instead, but find that their rendezvous/docking target is still trapped in the aerodynamic shroud that protected it during launch (the shroud would normally have been jettisoned). Furthermore, a spacewalk has been written into the mission plan, requiring Cernan to leave Gemini and go to the rear of the vehicle to unstow and test a “jetpack” (an early prototype of the Manned Maneuvering Unit that will finally see use in the space shuttle program in the 1980s). The spacewalk becomes a two-hour ordeal which leaves Cernan exhausted, thanks to the lack of handholds on the exterior of the Gemini capsule. The flight ends after three days in space.
The 165th episode of Doctor Who airs on the BBC. This is the second Doctor’s second and final encounter with the Daleks, and this story also introduces Deborah Watling as new companion Victoria Waterfield. This episode is now missing from the BBC’s archives.
This timeline entry leads to an entry covering this entire Doctor Who serial; there are plans to write new episodic entries in the future. You can support this effort!
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The 79th episode of Gene Roddenberry’s science fiction series Star Trek airs on NBC. This was the final episode produced or broadcast; Gene Roddenberry, having caught the meaning of the series’ move to a Friday night “death slot,” had already moved on to greener pastures without making arrangements for another fan protest for Star Trek’s renewal. 
The 326th episode of Doctor Who airs on BBC1. Roger Delgado guest stars as the Master; future Star Wars star David Prowse appears as the Minotaur.
This timeline entry leads to an entry covering this entire Doctor Who serial; there are plans to write new episodic entries in the future. You can support this effort!
Order Earl Green’s book VWORP!1 from theLogBook.com Store
ITV airs the fourth episode of the HTV West-produced children’s fantasy series Into The Labyrinth, co-created by Bob Baker (Sky, Doctor Who, K-9) and starring Ron Moody and Pamela Salem.
The Soviet Union launches a scaled-down test model of a compact space shuttle design into orbit, part of an ultimately abandoned study of a vehicle design called Spiral. The BOR4 structural test article is photographed being recovered from the Indian Ocean by the Australian government, revealing the design to the western world for the first time. NASA begins a study of the BOR4 lifting body design, finding that it has a stable flight profile and unusually good reentry and landing characteristics, and though NASA’s version of the vehicle, HL20, is later mooted as a shuttle replacement, both countries’ space agencies pass on the design, which will later be revived by Sierra Nevada Corporation as the Dream Chaser. BOR4 is launched three more times through 1984, at which point the Soviets instead press ahead with development of Buran, a near-exact copy of the American Space Shuttle.
The week-long national syndication window opens for the 98th episode of Star Trek: The Next Generation. Michelle Scarabelli (Alien Nation) guest stars; Patrick “Picard” Stewart directs this episode.
The week-long national syndication window opens for the 23rd episode of Xena: Warrior Princess.
Cable channel TNT premieres the 103rd episode of J. Michael Straczynski’s science fiction series Babylon 5.
Atlantic Records releases Jewel‘s fifth album, 0304, featuring the single “Stand”.
The soundtrack from the direct-to-video movie The Animatrix is released, consisting primarily of songs with a few selections of Don Davis’ instrumental score.
Having been featured on The Matrix Reloaded soundtrack, Australian remixer Rob Dougan releases his debut album, Furious Angels.
La-La Land Records releases Bear McCreary’s soundtrack from the first season of Sci-Fi Channel’s Battlestar Galactica reboot. Released by popular demand from the show’s fan base, the soundtrack displays the series’ rapidly evolving, complex musical direction, including the unusual dual main theme tunes (one used for broadcast in the UK, one used in the US).
The 720th episode of Doctor Who (the 22nd since the series’ revival) airs on BBC1. Danny Webb, Shaun Parks and Will Thorp guest star; this is the first part of a two-part story, and is the first appearance of the Ood.
The 837th episode of Doctor Who airs on BBC1 (the 138th episode since the series’ revival). Peter Capaldi, Pearl Mackie, and Matt Lucas star. Michelle Gomez guest stars.