NDLI: On the stability of a planar resonant rotation of a satellite in an elliptic orbit

Content Provider	Springer Nature Link
Author	Bardin, Boris S. Chekina, Evgeniya A. Chekin, Alexander M.
Copyright Year	2015
Abstract	We study the Lyapunov stability problem of the resonant rotation of a rigid body satellite about its center of mass in an elliptical orbit. The resonant rotation is a planar motion such that the satellite completes one rotation in absolute space during two orbital revolutions of its center of mass. The stability analysis of the above resonance rotation was started in [4, 6]. In the present paper, rigorous stability conclusions in the previously unstudied range of parameter values are obtained. In particular, new intervals of stability are found for eccentricity values close to 1. In addition, some special cases are studied where the stability analysis should take into account terms of degree not less than six in the expansion of the Hamiltonian of the perturbed motion. Using the technique described in [7, 8], explicit formulae are obtained, allowing one to verify the stability criterion of a time-periodic Hamiltonian system with one degree of freedom in the special cases mentioned.
Starting Page	63
Ending Page	73
Page Count	11
File Format	PDF
ISSN	15603547
Journal	Regular and Chaotic Dynamics
Volume Number	20
Issue Number	1
e-ISSN	14684845
Language	English
Publisher	Pleiades Publishing
Publisher Date	2015-02-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hamiltonian system symplectic map normal form resonance satellite stability Dynamical Systems and Ergodic Theory
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics Mechanical Engineering Modeling and Simulation

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