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Analytical solutions for Euler parameters

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Abstract

Two new analytical solutions for Poinsot motion in terms of Euler parameters are derived. The first solution is a straightforward ‘universal’ (no branches) time series practical for short time motion calculations or as a basis for analytical continuation. The second, more involved solution is also universal but is not restricted to short times; it is in terms of circular, hyperbolic, and elliptic functions and elliptic integrals.

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Authors and Affiliations

  1. Dept. of Engineering Science and Systems, University of Virginia, 22901, Charlottesville, Va., USA

    Harold S. Morton Jr., John L. Junkins & Jeffrey N. Blanton

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  1. Harold S. Morton Jr.
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  2. John L. Junkins
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  3. Jeffrey N. Blanton
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Morton, H.S., Junkins, J.L. & Blanton, J.N. Analytical solutions for Euler parameters. Celestial Mechanics 10, 287–301 (1974). https://doi.org/10.1007/BF01586859

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  • DOI: https://doi.org/10.1007/BF01586859

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