Well no one likes this dynamic space lift at Mars so how about using the same technique here on Earth ? First a robot lander is placed onto a suitable methane orebody with a mass sufficiently large to anchor a reel brake . The robot has a hot pile fission energy source to mine and store methane...
Launch with a graphene tethered swing that lands a shoe from low orbit and apply a reeling brake to lift a load placed into the shoe . This elevator is dynamic and can rise to any height with an elliptic orbit . This elevator can shorten the tether length that makes a fixed space elevator unlikely .
From observation I believe that the moons of Mars may provide a landing and lift off platform . The moon Deimos is near to geosynchronous orbit and drops a tether to dangle over the orbit of Phobos above the surface of Mars . From Phobos a shoe swing is tethered out and dropped onto Mars as...