Analytical solutions for Euler parameters

Details Analytical solutions for Euler parameters Analytical solutions for Euler parameters

Sep 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..287m&link_type=abstract

Celestial Mechanics, Volume 10, Issue 3, pp.287-301

Physics

9

Scientific paper

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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