Study of singular surfaces of systems of unsupported gyrodynes by the parameter continuation method

Details Study of singular surfaces of systems of unsupported gyrodynes by the parameter continuation method Study of singular surfaces of systems of unsupported gyrodynes by the parameter continuation method

Aug 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cosre..47..322i&link_type=abstract

Cosmic Research, Volume 47, Issue 4, pp.322-329

Computer Science

45.40.Cc

Scientific paper

A system of two-degree-of-freedom force gyroscopes (gyrodynes) is considered to be used for spacecraft attitude control. Possible values of its total angular momentum form some finite region P in the frame of reference rigidly connected with the spacecraft. Near the boundary of this region and singular surfaces located inside it the control of the angular momentum is complicated or impossible. The program angular momentum of the gyrodynes, realizing the law of variation of the spacecraft orientation, should lie inside P and outside some singular surfaces, and due to this fact the boundary and internal singular surfaces should be studied. This work is dedicated to the numerical construction of region P and its internal singular surfaces by the method of parameter continuation. Using the results by E.N. Tokar’ we formalize sufficient conditions which in some cases allow one to determine the type of the singular surface. As an example, a system of six gyrodynes is considered, for which the regions of variations of the intrinsic angular momentum and singular surfaces are constructed. The possibilities of the system are demonstrated for the case when one gyrodyne fails.

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