Some vehicle families that were prominent in this era (other variants and families are possible):
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Advanced Gemini
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Apollo
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Big Gemini
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Dyna-Soar
Dyna Soar aka X-20 was death end
planned under BOMI and ROBO as manned Orbital Bomber and reconnaissance space plane
it lose first the Bomber role to the ICBM, Manned space flight to Mercury Capsule and reconnaissance to Discovery Satellite
so Sectary of Defense McNamara killed the program, that had much delays and no practical use.
Gemini vs Apollo
Gemini is excellent Spacecraft, but was a interim program between Mercury and Apollo
in fact Apollo was planned BEFOR JFK "We shall go to Moon" as 3 man orbital spacecraft with option for flight around the Moon and get back
those plans were modified to Lunar orbit rendezvous for landing mission in july 1962.
But no one had tested a rendezvous in space and Mercury was unusable for task, while Apollo space craft had to be build.
so Gemini was born as quick and dirty program that was quite successful
but as program end NASA show no interest in further Gemini Flights like Advance Mission or Gemini Ferry for Space Station or flight around the Moon.
NASA administration even consider this as "counterproductive" and obstruction for Apollo program.
so Gemini ended in USAF after X-20 death as
Manned Orbiting Laboratory
but MOL was cancelled in 1969, so McDonnell Douglas try to sell MOL to NASA, no interest because Skylab was build and served by Apollo CSM.
here is a twist, NASA wanted to build bigger Space station with 12 to 50 men onboard after Skylab.
but the Apollo CSM could carry maximal 6 astronauts with little supply in orbit, so the big station needed 9 apollo docking ports.
McDonnell Douglas proposed a enlarge Gemini with 12 astronauts and 2.5 tons supply.
but there came the Space Shuttle and Big Gemini remained a Mock-up
i wonder what happened if Gemini had be a join venture between NASA & USAF as proposed by Sectary of Defense McNamara?