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Titlebook: Rotational Dynamics of Orbiting Gyrostats; Department of Genera Robert E. Roberson,Pierre Y. Willems,Jens Wittenbu Book 1971 Springer-Verla

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978-3-211-81198-6Springer-Verlag Wien 1971
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Rotational Dynamics of Orbiting Gyrostats978-3-7091-2930-2Series ISSN 0254-1971 Series E-ISSN 2309-3706
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0254-1971 Overview: 978-3-211-81198-6978-3-7091-2930-2Series ISSN 0254-1971 Series E-ISSN 2309-3706
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Notation and Mathematical Conventions,The mathematics used in rotational dynamics is simple enough, and undoubtedly very familiar to the audience. However, the best background does not necessarily imply familiarity with all the notational conventions that will be used here, so it is well ro review them briefly.
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Angular Velocity of Free Rigid Body,The general problem is governed by the Euler rotational equations.in which the external torques L and internal angular momentum have been set equal to zero.
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The Free Gyrostat,The gyrostat is a relatively obvious and stright-forward generalization of the rigid body, although the problem of a gyrostat spinning about a fixed point in the absence of external torque is a century junior to the corresponding problem of the free rigid body.
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General Equilibria of Gravitationally Stabilized Gyrostats,In this lecture we consider eqyilibria for Case 4. where neither J. = 0 nor J. = 0. The problem of finding these equilibria can be approached in two different ways:
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Effects of Flexibility on Stability,ll be the orbital frame with one axis pe. pendicular to the plane of the orbit . and a second axis aligned with the local vertical, . (Fig. 1). For satellites spinning in free-space, the reference frame will have a constant angular velocity equal to the nominal angular velocity of the system.
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