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Mathematics > Dynamical Systems

arXiv:1804.02647 (math)
[Submitted on 8 Apr 2018]

Title:Short-axis-mode rotation in complex variables

Authors: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.
Comments: Journees des Systemes de Reference et de la Rotation Terrestre, 25-27 September 2017, Alicante, Spain
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:1804.02647 [math.DS]
  (or arXiv:1804.02647v1 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1804.02647

Submission history

From: Martin Lara [view email]
[v1] Sun, 8 Apr 2018 08:22:36 UTC (9 KB)
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