As back-up for the possibility of the loss of rocket fuel to guarantee slack in hose, and “killing two birds with one stone” because of the need for a heavy CW at the 60,000 mile end of elevator shaft, the CW, with enough mass and large enough radius because of a series of “Ferris Wheels”, torque (T = M x A x R, where M = Mass, A = radial acceleration, and R = radius), causes the CW to move inward, perpendicular to direction of rotation. Because centrifugal force is – m x v^2 / R, a much heavier CW Ferris Wheel, or set of many, closer to GEO than 37,000 miles means fewer rocket launches from Earth, “m” is the same, a lower R, but much lower v^2 for lower centrifugal force that can be overcome by less of a demand for high Ferris Wheel A and R. If enough Ferris Wheels are built to accelerate fast enough with large armatures in the correct direction, the result of InGaAs multi-junction (possibly carbonate) high-voltage electricity solar panels with the intense radiation from the sun in space, it alone may override centrifugal force without being equal to it, assisted by increasing gravity, preventing any strain on SH.
The spinning Ferris Wheels will cause CW to move inward every 12 hours, ±3 hours, during apogee phase of elliptical orbit to prevent over-extension of SH and breaking, then engage in angular acceleration (by virtue of angular deceleration, which is acceleration in the opposite direction) during two perigee phases, extending the hose somewhat to overcome too-much-slack in SH from semi-minor axis, and try to make apogee (semi-major axis) less distant, with a lower eccentricity factor. This is practical as the Ferris Wheels have an unlimited source of power, but not the H2/O2 fuel rockets. Any CW, coupled with the desire for high mass for, say, 4 ends for 4 armatures of the Ferris wheels, will require many payload trips dragged by elevator or
rocket missions, but might be offset with meteorite/asteroid net “capture” and depositing the extraterrestrial material (plentiful on Moon, which can be mined, spacecrafts leave back toward CW to build network of Ferris Wheel inhabitable stations) into nets at the ends of the armatures, or better yet, construct “virtual spinning spheres” for maximum moment of inertia. See https://en.wikipedia.org/wiki/List_of_moments_of_inertia for calculations of I, or moment of inertia, for rotational bodies of different shape and bulk. The Moon has a much lower escape velocity than Earth, so a semi-permanent Moon station, not that much further from CW than earth such that the need for Earth mining of CW Ferris Wheel weights, as the expensive rocket payloads with 19,000 mph escape velocity is too dangerous, too expensive, and time consuming, making the extra time to go from CW to Moon and back worth it (the Moon is 320,000 miles away). A giant graphene “catcher’s mitt” can intercept the many small meteorites traveling toward the Earth under gravity or around the Earth bound by Newton’s central force, faster in a more eccentric orbit than the nearby counterweight-to-be when meteorites are at perigee, and then mixed with water and mortar from Earth-born rockets to form counterweights, which are the Kuprick Ferris Wheels. Two-way direct current produced by solar panels along surface area of wheels can use Faraday induction to turn wheels with magnetized inner surface of wheel ring, or torus. With the vacuum of space to avoid the scattering effects of air molecules, no gravity, less friction, and Newton’s first law causing torque to be perpetual motion inward, until outward torque compensates at perigee, you can save a lot of money. The same is true for perpendicular wheels to overcome Kepler drag. Because the CW should be a “bulb”, I suggest wheels start in a short diameter at end of SH, new wheels increase in size as you move inward, then decrease, an odd number of wheels, say, 7, the forth wheel has the largest diameter, to approximate a sphere and maximum torque, or moment of inertia. They can serve as quasi-permanent space colonies, like the Stanley Kubrick “Space Odyssey 2001” models, where centrifugal forces simulate gravity on the body, long-term weightlessness has always proven to be bad and will become obsolete. If each wheel accelerates at the greater angular rates to produce enough torque to overcome hose breaking, the inhabitants will be pulled toward the center of wheel, in cabin-elevators, and pushed higher in radial direction when the angular acceleration (above video) Kepler’s three laws: 1. All objects revolve around a larger object in an elliptical path, the larger object at one of two foci 2. Objects sweep out equal areas in equal time periods 3. The cube of the distance from center of object to center of larger object it revolves around is proportional to the square of the period. The above video is for planets revolving around the sun, but also applies to objects that revolve around the Earth. So a rocket with umbilical and/or torque from Kuprick Ferris Wheels is mandatory as backup and for astronaut material support and refueling interplanetary space crafts, as CW will otherwise naturally have much longer period than SS at GEO, and it will wrap around Earth. This way the whole SH revolves around Earth once per day is less, to always simulate gravity, or 9.8 m/s², as closely as possible. So many of these wheels, for many long-term space colonists, who will not experience muscular atrophy, will decrease the likelihood of the hose(s) breaking, and allow far more experiments then ever before. More H2 and O2 can be used, therefore, for breathing and drinking (not all water can be recycled, a lot is lost to evaporation), watering fruit and vegetable gardens, fuel for interplanetary space ships, etc., and not for CW-driven-inward rocket propulsion except in rare emergencies anticipated by sensor-controlled computers and human 24/7 backup. Because of the drag from the restrictions of Kepler’s law, dictating the CW must revolve around Earth in a longer period than GEO, rockets constantly firing to the west may not seem practical, and a series of one or more Ferris Wheels with axis along the path of revolution would not work, as angular acceleration in one direction to produce torque pushing CW east means they must eventually decelerate, which is “reverse acceleration” pushing the CW west, but not when the larger CW wheel the smaller wheels are perpendicular to, mounted on rim, rotates 180 degrees, the smaller wheels use the rims of bigger wheels, whose radii are perpendicular to the direction of orbit to rotate clockwise relative to the east, so torque constantly pushes CW eastward. Environmentalists (and I’m one of them) don’t want us to use constant high volume electrolysis, and potentially suck the oceans dry. Much of the H2-O2 exhaust will recycle itself when it returns to Earth under gravity. The hose must never be taunt, and a constant supply of sunlight, with only an eclipse every few days for a few seconds with battery backup, means torque wheels, many of them, should overcome any interruption of H2-O2 loss from failed electrolysis, should there be mechanical or loss of energy problem at ESS. A three-way “backup” insurance policy of hose rocket propulsion, torque wheels, and the tethering of four hoses for four elevators at 90-degree angles, much like computer backup with hard drive, USB chip, and cloud, will be sufficient, so expensive, high-strength, low density carbon matrices, difficult to mass produce in a short period of time, are unnecessary,