Analytical solutions for Euler parameters Academic Article

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. 1974 D. Reidel Publishing Company.

authors

• Junkins, John

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

publisher

• Springer Nature  Publisher

published in

• Celestial Mechanics and Dynamical Astronomy  Journal

Digital Object Identifier (DOI)

• 10.1007/bf01586859

start page

• 287

end page

• 301

volume

• 10

issue

• 3

URL

• http://dx.doi.org/10.1007/bf01586859