<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Decomposition of the free (triaxial) rigid body Hamiltonian into a “main problem” and a perturbation term provides an efficient integration scheme that avoids the use of elliptic functions and integrals. In the case of short-axis-mode rotation, it is shown that the use of complex variables converts the integration of the torque-free motion by perturbations into a simple exercise of polynomial algebra that can also accommodate the gravity-gradient perturbation when the rigid body rotation is close enough to the axis of maximum inertia.</p></abstract>

Decomposition of the free (triaxial) rigid body Hamiltonian into a “main problem” and a perturbation term provides an efficient integration scheme that avoids the use of elliptic functions and integrals. In the case of short-axis-mode rotation, it is shown that the use of complex variables converts the integration of the torque-free motion by perturbations into a simple exercise of polynomial algebra that can also accommodate the gravity-gradient perturbation when the rigid body rotation is close enough to the axis of maximum inertia.

Complex variables approach to the short-axis-mode rotation of a rigid body

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Complex variables approach to the short-axis-mode rotation of a rigid body"}

Decomposition of the free (triaxial) rigid body Hamiltonian into a “main problem” and a perturbation term provides an efficient integration scheme that avoids...

Complex variables approach to the short-axis-mode rotation of a rigid body

Published Online: Dec 31, 2018

Page range: 537 - 552

Received: Sep 22, 2018

Accepted: Dec 22, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00042

Keywords
Free rigid body, short-axis-mode, perturbation theory, gravity gradient

© 2018 Martin Lara, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Complex variables approach to the short-axis-mode rotation of a rigid body

Published Online: Dec 31, 2018

Page range: 537 - 552

Received: Sep 22, 2018

Accepted: Dec 22, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00042

KeywordsFree rigid body, short-axis-mode, perturbation theory, gravity gradient

© 2018 Martin Lara, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Free rigid body, short-axis-mode, perturbation theory, gravity gradient