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Cosmic Research

, Volume 51, Issue 4, pp 289–303 | Cite as

Closed form perturbation solution of a fast rotating triaxial satellite under gravity-gradient torque

  • M. Lara
  • S. Ferrer
Article

Abstract

The attitude dynamics of a fast rotating triaxial satellite under gravity-gradient is revisited. The essentially unique reduction of the Euler-Poinsot Hamiltonian, which can be performed in different sets of variables, provides a suitable set of canonical variables that expedites the perturbation approach. Two canonical transformations reduce the perturbed problem to its secular terms. The secular Hamiltonian and the transformation equations of the averaging are computed in closed form of the triaxiality coefficient, thus being valid for any triaxial body. The solution depends on Jacobi elliptic functions and integrals, and applies to non-resonant rotations under the assumption that the rotation rate is much higher than the orbital or precessional motion.

Keywords

Canonical Variable Cosmic Research Canonical Transformation Gravity Gradient Hamilton Jacobi Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.San FernandoSpain
  2. 2.Grupo de Dinámica EspacialUniversidad de MurciaMurciaSpain

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