Abstract
With the aid of software LinModel elaborated on the basis of the computer algebra system “Mathematica” we have conducted an analysis of dynamics for a mechanical system, which represents an unguided satellite with 3 gyrodines on a circular orbit. Modeling of systems (i.e., constructing nonlinear and linearized differential equations of motion in the Lagrange 2nd kind form), as well as investigation of the issues of stability and gyroscopic stabilization for eight steady motions obtained, have been conducted on a PC with the aid of symbolic or symbolic-numeric computations. The domains of stability and stabilization constructed are represented in either an analytical form or graphic form.
The work has been supported by RF President’s grant (Project SS–1676.2008.1).
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Banshchikov, A.V. (2009). Parametric Analysis of Stability Conditions for a Satellite with Gyrodines. In: Gerdt, V.P., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2009. Lecture Notes in Computer Science, vol 5743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04103-7_2
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DOI: https://doi.org/10.1007/978-3-642-04103-7_2
Publisher Name: Springer, Berlin, Heidelberg
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