Space Elevators would be easier to construct (and probably more secure from terrorism) for the Moon and Mars. Of course, Earth would benefit most, but to overcome Earth's gravity, we still need some refinements or breakthroughs in materials science.
Space elevator: https://en.wikipedia.org/wiki/Space_elevator
"The main component would be a cable (also called a tether) anchored to the surface and extending into space. An Earth-based space elevator would consist of a cable with one end attached to the surface near the equator and the other end attached to a counterweight in space beyond geostationary orbit (35,786 km altitude)."
" With the tether deployed, climbers (crawlers) could repeatedly climb up and down the tether by mechanical means, releasing their cargo to and from orbit.[2] The design would permit vehicles to travel directly between a planetary surface, such as the Earth's, and orbit, without the use of large rockets."
"One of the most significant challenges in manufacturing a space elevator for Earth is the strength of the materials utilized for its construction. Considering the structure must be designed to be sufficiently strong to hold up not only its own weight but also the payload it may carry, the strength-to-weight ratio, or specific strength, of the elevator's construction material needs to be extremely high."
" For locations in the Solar System with weaker gravity than Earth's (such as the Moon or Mars), the strength-to-density requirements for tether materials are not as problematic. Currently available materials (such as Kevlar) are strong and light enough that they could be practical as the tether material for elevators there.[44]"
The Modern Day Space Elevator is Closer than You Think! https://www.isec.org/
Could We Build a Real Space Elevator in Our Lifetime?
How Space Elevators Will Work: https://science.howstuffworks.com/space-elevator.htm
"A space elevator made of a carbon nanotubes composite ribbon anchored to an offshore sea platform would stretch to a small counterweight approximately 62,000 miles (100,000 km) into space. Mechanical lifters attached to the ribbon would then climb the ribbon, carrying cargo and humans into space, at a price of only about $100 to $400 per pound ($220 to $880 per kg)."
Note that other materials are now being considered due to the difficulty of producing very long carbon nanotubes.
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