A Systems Design for a Prototype Space Colony

6.30 Lhull = (2.llxl0 5 kg-m 2 /sec) whull with whull again in the range .209 to .314. Following the .75g example, L = 5.72xl0 4 kg-m 2 / sec 2 hull. ?Sg which would precess the hull once around per sidereal year. Were this torque applied by two forces at the tips of the end~ caps (one in the positive-q direction, the other in the negative-q direction), these forces would each be given by: (Force applied) Torque (2) (150m) where 150 meters is the length of the moment arm between the center of mass of the hull and the point of application of each force. (Force applied) .?Sg = l.9lxl0 2 kg-m/sec 2 Figure 6.15 also shows the angular deflection ahull around the torque axis. In the steady-state situation, this is given by: 0 steady statehull 1 Yhull Lhull Hhull 2 where I is the moment of inertia about the transverse axis. Yhull An estimate of I for the hull, agricultural dirt, human housYhull ing, machinery, and atmosphere appears in Appendix VI.C. Substituting that estimate, the estimate for Hhull and the estimate for Lhull into the equation above, we get: 0 steady statehull (2.42xlo-7 sec-1) whull 0 steady statehull .75g 8.93xl07 radian

RkJQdWJsaXNoZXIy MTU5NjU0Mg==