<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

Publié en ligne: 31 déc. 2018

Pages: 537 - 552

Reçu: 22 sept. 2018

Accepté: 22 déc. 2018

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

Mots clés
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.

Fig. 1

Figure 2

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

Publié en ligne: 31 déc. 2018

Pages: 537 - 552

Reçu: 22 sept. 2018

Accepté: 22 déc. 2018

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

Mots clésFree 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.

Fig. 1

Figure 2

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