The steady motions of gyrostats with equal moments of inertia in a central force field

Journal of Applied Mathematics and Mechanics - Tập 75 Số 5 - Trang 517-521 - 2011
A. A. Burov1, Anna Guerman1, R.S. Sulikashvili1
1Moscow, Russia, Cavilha, Portugal, Tbilisi, Georgia

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Sulikashvili RS. The steady motions of a tetrahedron and an octahedron in a central gravity field. In: Problems of Investigating the Stability and Stabilization of Motion, Moscow: Computing Centre, Academy of Sciences of the USSR; 1987: 57–66.

Sulikashvili, 1989, The steady motions of bodies, allowing of symmetry groups of regular polygons in a Newtonian force field, Prikl Mat Mekh, 53, 582

Sulikashvili, 1989, On stationary motions of Plato's bodies in a gravitational field, Teor Primen Meh, 119

Guzman, 2002, A preliminary study for a tetrahedron formation: quality factors and visualization, AIAA Paper, 2002

Bainum, 2002, Tethered satellite constellations in Auroral observation missions, AIAA Paper, 2002

Capó-Lugo, 2006, Digital LQR control scheme to maintain the separation distance of the NASA benchmark tetrahedron constellation, AIAA Paper, 2006

Burov, 2008, Relative equilibria of a tetrahedral structure with rigid and tethered elements, Adv Astronaut Sci, 129, 1665

Burov, 2010, The orbital motion of a tetrahedral gyrostat, Prikl Mat Mekh, 74, 594

Karapetyan, 1992, The bifurcation and stability of the steady motions of two gravitating bodies, Prikl Mat Mekh, 56, 935

Riaguas, 2001, Non-linear stability of the equilibria in the gravity field of a finite straight segment, Celest Mech and Dynam Astronomy, 18, 235, 10.1023/A:1013217913585

Pascal, 1972, Sur le mouvement d’un triple bâtonnet dans un champ newtonien, J de Méc, 11, 147

Routh, 1877

Karapetyan, 1998

Stepanov, 1995

Burov, 2010, Poisson variations in the problem of the stability of equilibria in rigid body mechanics, J Appl Mat Mech, 74, 68, 10.1016/j.jappmathmech.2010.03.007