I just found Blaise Gassend's page about space elevators.
One nice sub-page is the one about non-equatorial elevators:
http://gassend.net/spaceelevator/non-equatorial/index.html
This is how the Martian one would look like.
He also has some simulations of breaking elevators:
http://gassend.net/spaceelevator/breaks/index.html
and falling climbers:
http://gassend.net/spaceelevator/falling-climbers/index.html
(these things happen distressingly often in RPGs)
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Mea Culpa: My mode of speech can make others feel uninvited to argue or participate. This is the EXACT opposite of what I intend when I post.