Abstract
The existing numerical or analytical theories of the rotational motion of a rigid body based on the use of elements have a common drawback that singularities appear when the inclination of the body approaches some critical value. The elements which will be derived in this paper, being based on the Euler parameters, avoid this difficulty. A complete set of elements valid for all inclinations are introduced. The key to these regular elements is the use of a redundant set of elements.
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© 1973 D. Reidel Publishing Company, Dordrecht-Holland
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Vitins, M. (1973). Uniform Theory of a Rotating Rigid Body with Dynamical Symmetry. In: Tapley, B.D., Szebehely, V. (eds) Recent Advances in Dynamical Astronomy. Astrophysics and Space Science Library, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2611-6_41
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DOI: https://doi.org/10.1007/978-94-010-2611-6_41
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-2613-0
Online ISBN: 978-94-010-2611-6
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