Elon Musk himself promised this once in a rush for the Falcon 9, but decided not to engage in nonsense ...
In 2015, SpaceX managed for the first time in the history of astronautics to land (without breaking) the first stage of the Falcon 9 rocket, which, at the same time, completed the main task - put the satellite into a given orbit. An important stage in the development of space technology became a wonderful reality, and then just a routine, part of the well-organized delivery of spacecraft (SC) into near space, into near-earth orbits.
An extra promise from SpaceX - how and why to save the second stage?
The audience has already forgotten, but after all, SpaceX, personally represented by Elon Musk, for some reason, in September 2011, announced ambitious plans to gently land the second stage of Falcon 9. Yes, this company was going to learn how to save the second stage with time ... Here is the link ...
SpaceX even filmed a video on this topic (they spent money) - there the second stage with legs optimistically entered the atmosphere with a heat shield forward, an engine backward, and then braked at the very surface with this engine. Not a simple engine, but a Merlin 1D Vacuum jet engine with a huge nozzle optimized for vacuum at altitudes of about 100 km ...
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In this article, I examined the problem of saving a spent second stage from the opposite positions: to save not “down”, but “up”. It should be noted that in astronautics there are still many problems and aspects of application, such as elements that have been mastered for a long time, for which a look from an unusual, sometimes absurd point of view can give interesting and promising solutions.
We must clearly realize that space exploration is a step-by-step and complex task of building not only infrastructure on Earth and launching rockets from there, but also of gradually building infrastructure in space using everything that is available now or in the future.