Originally posted by FabianFnas
Well, we forget about the sun, and just concern ourselves about a space elevator from the earth, shall we?
If I ask you the following questions:
Have you calculated how long this elevator wire should be if it is fastened at a site at the equator? I.e. how far from the surface is the operational platform at the end of the cable be? How much further is ...[text shortened]... n orbiting point. Do you really take the orbit parameters in consideration in your calculations?
The real calculations would of course be a lot more complex for travel to a given planet or interstellar journey, I just did the calculation of the velocity relative to Earth. I did include the orbital velocity of Earth when I calculated the velocity at the top of the cable and the angle of release of a craft at the top can be way over the escape velocity of the sun or way under it depending on the angle of release.
If you released in a direction going backwards from the direction of travel of Earth in its obit around the sun, the velocity would be reduced a lot from that if you chose an angle of release that was in the same direction as the Earth obits the sun.
I think all the mass, mass per meter and such has all been worked out for theoretical cables, probably 20 years ago or more. It pretty much HAS to be fastened to Earth close to the Equator, since the tilt of the Earth at 22.5 degrees does not allow one from the poles as we already worked out.
The geo point is about 22,500 miles or 36,000 kilometers high and the top end counterbalance is supposed to be at 100,000 kilometers up or 62,500 miles.
It is clear you have to add velocity to the top mass if you want it to not fall behind and create havoc.
I don't think it much matters what the geo point mass is, I think the mass at the top of the cable would be more important to know since it is stretching the cable through centripetal forces and the more mass the more stress there would be on the cable so there would be a limit to that mass determined by the ultimate strength of the cable.
The geo point platform doesn't even have to add stress to the cable, just be fastened at the geo stationary point where the cable and the platform would both be basically in the same orbit so the stress on the cable due to the platform would be minimal.
It would be at the end of the cable where mass Vs length and cable strength would come into play.
One version of the lifter goes like this: There is a massive laser pointing up and the laser energy is concentrated below the lifer and that energy powers wheels attached to the cable by friction forces.
The time to get to the geostationary platform was worked out to be in the order of 2 weeks to go from the surface of Earth to the Geo point.