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arXiv · 1804.02647

Short-axis-mode rotation in complex variables

Martin Lara
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Abstract

Decomposition of the free 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.

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Martin Lara. 2018-04-08. Short-axis-mode rotation in complex variables. https://arxiv.org/abs/1804.02647

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