On topic of ideas from the Shuttle era, ToughSF links the Nuclear Inertial rotational-tether. doi 10.2514/6.2000-3611 by Allan Goff and (Dr.) Joel Siegel. I don't think many picked up on this as opposed to other tether plans.
What disassociates this from the others: the counterweight is a moving crawler that also doubles an an electric thruster for reboosting the tether, all kept powered by a nuclear reactor
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They recommended it for yeeting cargo to... Mars. No seriously. From here the bestcase (Hohmann) injection burn requires 2.95 km/s; another 2.65 km/s is required to push from Hohmann to match Mars'. To take the strain, they moot *sigh* Carbon Naynoe Toobz of 20 gigapascals ("GP") breaking-stress over that ρ = 1.3 g/cm. Equation #6 told them up to 5.5 km/s of deltaV out of this setup, on the Earth side. 8.8 GPa for 50 GPa.
That's a lot to play with. Say we have already injected something into the 100 Mm orbit. We have a chart for several cycler orbits in Longuski-Byrnes 2002 (remember that?), with their outgoing v∞. For Aldrin's 6.54 km/s, which is a Martian flyby to return our chassis, Copilot recommends 5.2 km/s. The bespoke "S1L1" is also in reach.
The mission profile at the end, even for the Earth side, relies on a relay of two skyhooks: Earth supplies the lower 'hook from a "spaceplane" (in 2000, considered more workable than a reusable rocket), which LEO hook flings cargo up to the HEO 'hook. We'll wholly ignore the Mars side for now (likely forever).
They thought the cargo could go up to 100 "tons" at a time, implicitly metric. Equations #9-11 say more tonnes means increasing the thickness (in cm2) of the cable whatever-it-is, which tapers.
For this poast we'll leave aside the CNT hardcore. We assume such GPa as can do Mars' or Venus' Hohmann - only; like Jensen's SiO2. Which is itself a reach.
Here we'll talk about those nuclear reactors. Per 'hook, such is to transfer momentum between payload and tether
. HEO as in, past GEO: maybe; LEO, I doubt. Nuclear is chosen over solar for a few (good) reasons: brute force, and infrequency of resupply. The paper assures that that each pull to another orbit is minor. This may allow some enthalpic solution as doesn't have to stay in LEO for long. But that would have to be supplied.