Elements of spin motion

Details Elements of spin motion Elements of spin motion

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..59..149f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 59, no. 2, p. 149-159

Astronomy and Astrophysics

Astronomy

7

Celestial Mechanics, Orbit Perturbation, Orbital Mechanics, Rigid Structures, Rotation, Spin Dynamics, Astronomical Models, Hamiltonian Functions, Numerical Integration, Perturbation Theory

Scientific paper

For use in numerical studies of rotational motion, a set of elements is introduced for the torque-free rotational motion of a rigid body around its barycenter. The elements are defined as the initial values of a modification of the Andoyer canonical variables. A computational procedure is obtained for determining these elements from the combination of the spin angular momentum vector and a triad defining the orientation of the rigid body. A numerical experiment shows that the errors of transformation between the elements and variables are sufficiently small. The errors increase linearly with time for some elements and quadratically for some others.

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