Re: shuttle disaster
Gary Turner wrote:
Center of gravity (CG) is of doubtful value in thinking about this
problem. The object extends over a region in which substantially
different gravitational accelerations occur, and is at rest in a
reference frame in which there is significant centrifugal force.
John Hasler wrote:
It would be under tension, because the upper station is outside the
geosynchronous orbit. So the bit above the break would fly off into
space, and the lower bit would fall back.
The tension would taper from nominally zero at the base to maximum at the
attachment to the counterweight.
Actually, maximum tension occurs at the CG, with minimums at the ends.
Forces are reversed, maximum at the ends, and minimum (balanced) at the
CG. These are tidal forces. A single point counter-weight, as opposed
to distributed, will cause a discontinuity in the function, but the
function holds true on either side of the break.
The rules of the space elevator game, as I understand them, are
1 a vertical tension member
2 mass at upper end is at higher altitude than geostationary orbit
3 mass at lower end is close to the surface of the Earth
4 the whole thing is stationary with respect to the Earth as a reference
5 Adjust unspecified parameters so that it stays put without very large
rockets or other cheats.
These conditions imply that maximum tension is at geosychronous orbit
altitude. Below that altitude tension is increasing with altitude. Above
that altitude tension is decreasing with increase in altitude.