Steady-state motions of an elastic membrane in circular orbit

Details Steady-state motions of an elastic membrane in circular orbit Steady-state motions of an elastic membrane in circular orbit

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990kosis..28...47f&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 28, Jan.-Feb. 1990, p. 47-55. In Russian.

Mathematics

Astrodynamics, Circular Orbits, Elastic Bodies, Membranes, Spacecraft Motion, Steady State, Branching (Mathematics), Equations Of Motion, Liapunov Functions, Roots Of Equations

Scientific paper

An analysis is made of the motion of an elastic membrane stretched onto a rigid closed contour in circular Keplerian motion in a central Newtonian force field. The existence of weak solutions of the equation of motion is demonstrated. Sufficient conditions for the existence of steady-state solutions are formulated, and their Liapunov stability is analyzed. The particular case of the bifurcation of a trivial steady-state motion is examined.

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