This investigation deals with the stability, in a circular orbit, of a flexible space station consisting of two inertially identical rigid end bodies connected together by an elastic structure. The earth-pointing motion and the rotation with arbitrary initial angular velocity perpendicular to the orbital plane are studied by using the multiple-scales technique. The first-order approximate analytical solution and the conditions of stability are obtained.
FruehF JMillerJ MThe effect of elasticity on the stability of manned rotating space stations. ARD-TR-02–004 (also as AFOSR scientific report 64–0991), Giannini Controls Corp., May 1964.
2.
FruehF JMillerJ MExperimental investigation of the effect of elasticity on the stability of manned rotating space stations. AFOSR scientific report 65–1404, Giannini Controls Corp., June 1965.
3.
AustinFTorsional dynamics of an axially symmetric two- body flexibly connected rotating space stationJ. Spacecraft and Rockets, July-August 1965, 2 (4), 626–628.
4.
RobeT RKaneT RDynamics of an elastic satellite—I,II,IIIInt. J. Solids and Structs, 1967, 3, 333–352, 691–703, 1031–1051.
5.
BerbyukV EOn the controlled rotation of a system of two rigid bodies with an elastic elementPrikl. Mat. Mekh., 1984, 48 (2), 238–246.
6.
KravetsV VKryshkoE PSpatial motion of rigid bodies connected by an elastic rod (in Russian)Prikl. Mekh., June 1988, 24 (6), 109–113.
7.
NayfehA HIntroduction to Perturbation Techniques, 1981 (John Wiley, New York).
