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Hagedorn, P.

Steady motions in controlled gyrostat systems. (English) Zbl 0503.70003

Ing.-Arch. 52, 183-204 (1982).
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Cited in 2 Documents

MSC:

70B99 Kinematics
70E99 Dynamics of a rigid body and of multibody systems
70F99 Dynamics of a system of particles, including celestial mechanics

Keywords:

steady motions; controlled gyrostat systems; gear
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References:

[1] Hagedorn, P.: On the stability of steady motions in free and restrained dynamical systems. J. Appl. Mech. 46 (1979) 427-432. See also Erratum: J. Appl. Meeh. 47 (1980) 462 · Zbl 0425.70008 · doi:10.1115/1.3424567
[2] Hagedorn, P.; Teschner, W.: An instability theorem for steady motions in free and restrained dynamical systems. J. Appl. Mech. 47 (1980) 908-912 · Zbl 0487.70026 · doi:10.1115/1.3153812
[3] Magnus, K.: Die Stabilität von Schwingungen in Rotorsystemen mit Synchronantrieb. Karl-Marguerre- Gedächtnis Kolloquium, Schriftenreihe Wissenschaft und Technik der TH Darmstadt 16 (1980) 179-188
[4] Magnus, K.: Aktive Kreiselsysteme. Ing.-Archiv 49 (1980) 295-308 · Zbl 0477.70003 · doi:10.1007/BF02426909
[5] Hagedorn, P.: On the controllability and stability of rotor systems. Collection of papers of the 23rd Israel Annual Conference on Aviation and Astronautics, Haifa 1981, 139-144
[6] Otterbein, S.: Stabilität und Steuerbarkeit bei Systemen mit quasizyklischen Koordinaten. Diss. TH Darmstadt 1981
[7] Müller, P. C.: Stabilität und Matrizen. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0363.93004
[8] Pascal, M.: Sur la recherche des mouvements stationaires dans les systémes ayant des variables cycliques. Celestial Mechanics 2 (1975) 337-358 · Zbl 0326.70020 · doi:10.1007/BF01228568
[9] Longman, R. W.: A generalized approach to gravity-gradient stabilization of gyrostat satellites. RM-5921-PR, 1959, The RAND Corporation, Santa Monica, California
[10] Otterbein, S.: Stabilität von freiem und eingeschränktem System am Beispiel des Gyrostaten-Satelliten. Institut für Mechanik, TH Darmstadt, Internal Report 1978
[11] Hagedorn, P.: Über die Instabilität konservativer Systeme mit gyroskopischen Kräften. Arch. Rat. Mech. Anal. 58 (1975) 1-9 · Zbl 0329.70008 · doi:10.1007/BF00280151
[12] Longman, R. W.; Hagedorn, P.; Beck, A.: Stabilization due to gyroscopic coupling in dual-spin satellites subject to gravitational torques. To appear in Celestial Mechanics · Zbl 0475.70029
[13] Rouche, N.; Habets, P.; Laloy, M.: Stability theory by Liapunov’s direct method. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0364.34022
[14] Risito, S.: Sulla stabilità asintotica parziale, Annali di matematica pura ed applicata. Serie IV, Tomo LXXXIX (1970) 279-292 · Zbl 0213.10602
[15] Li, T.; Longman, R.: Stability relationship between gyrostats with free, restrained and speed controlled rotors. Paper to be presented at the AAS/AIAA Astrodynamics Specialists Conference. Lake Tahoe, Cal., 1981
[16] Hautus, M. L. J.: Controllability and observability conditions of linear autonomous systems. Indagationes Matematical 31 (1969) 433-448 · Zbl 0188.46801
[17] Lur’e, L.: Mécanique Analytique, Vol. 2. Louvain: Librairie Universitaire 1968
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