Analytical solutions for Euler parameters Academic Article uri icon


  • 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. 1974 D. Reidel Publishing Company.

published proceedings

  • Celestial Mechanics and Dynamical Astronomy

author list (cited authors)

  • Morton, H. S., Junkins, J. L., & Blanton, J. N.

citation count

  • 66

complete list of authors

  • Morton, Harold S||Junkins, John L||Blanton, Jeffrey N

publication date

  • September 1974