<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We study the roto-orbital dynamics of a uniform sphere and a triaxial body by means of a radial intermediary, which defines a 2-DOF Hamiltonian system. Our analysis is carried out by using variables referred to the total angular momentum. Its validity and applicability is assessed numerically by experiments comprising three different scenarios; analysis of the triaxiality, eccentricity and altitude. They show that there is a range of parameters and initial conditions for which the radial distance and the slow angles are estimated accurately, even after one orbital period. On the contrary, fast angles deteriorates as the triaxiality grows. We also include the study of the relative equilibria, finding constant radius solutions filling 4-D and lower dimensional tori. These families of relative equilibria include some of the classical ones reported in the literature and some new types. For a number of scenarios the relation between the triaxiality and the inclination connected with relative equilibria are given.</p></abstract>

We study the roto-orbital dynamics of a uniform sphere and a triaxial body by means of a radial intermediary, which defines a 2-DOF Hamiltonian system. Our analysis is carried out by using variables referred to the total angular momentum. Its validity and applicability is assessed numerically by experiments comprising three different scenarios; analysis of the triaxiality, eccentricity and altitude. They show that there is a range of parameters and initial conditions for which the radial distance and the slow angles are estimated accurately, even after one orbital period. On the contrary, fast angles deteriorates as the triaxiality grows. We also include the study of the relative equilibria, finding constant radius solutions filling 4-D and lower dimensional tori. These families of relative equilibria include some of the classical ones reported in the literature and some new types. For a number of scenarios the relation between the triaxiality and the inclination connected with relative equilibria are given.

The Triaxiality Role in the Spin-Orbit Dynamics 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":"The Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body"}

We study the roto-orbital dynamics of a uniform sphere and a triaxial body by means of a radial intermediary, which defines a 2-DOF Hamiltonian system. Our...

The Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body

Published Online: Oct 03, 2018

Page range: 187 - 208

Received: Feb 06, 2018

Accepted: May 21, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00015

Keywords
Rotational and orbital dynamics, gravity-gradient, intermediary, relative equilibria

© 2018 A. Cantero et al., published by Sciendo

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

The Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body

Published Online: Oct 03, 2018

Page range: 187 - 208

Received: Feb 06, 2018

Accepted: May 21, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00015

KeywordsRotational and orbital dynamics, gravity-gradient, intermediary, relative equilibria

© 2018 A. Cantero et al., published by Sciendo

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

Keywords
Rotational and orbital dynamics, gravity-gradient, intermediary, relative equilibria