Stability of the relative equilibria in the generalized J2 problem

For a large class of concrete astronomical situations, the motion of celestial bodies is modelled by dynamical systems associated to a potential function α/r + εU (r = distance between particles, α = real constant, ε = real small parameter, U = perturbing potential). In this paper the nonlinear stab...
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Autor*in:	Mioc V. [verfasserIn] Stavinschi M. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2000

Übergeordnetes Werk:	In: Serbian Astronomical Journal - Astronomical Observatory, Department of Astronomy, Belgrade, 2008, (2000), 161, Seite 9-13
Übergeordnetes Werk:	year:2000 ; number:161 ; pages:9-13

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.2298/SAJ0061009M

Katalog-ID:	DOAJ038873605

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callnumber-first	Q - Science
author	Mioc V.
spellingShingle	Mioc V. misc QB1-991 misc Astronomy Stability of the relative equilibria in the generalized J2 problem
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topic_title	QB1-991 Stability of the relative equilibria in the generalized J2 problem
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title	Stability of the relative equilibria in the generalized J2 problem
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title_full	Stability of the relative equilibria in the generalized J2 problem
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title_sort	stability of the relative equilibria in the generalized j2 problem
callnumber	QB1-991
title_auth	Stability of the relative equilibria in the generalized J2 problem
abstract	For a large class of concrete astronomical situations, the motion of celestial bodies is modelled by dynamical systems associated to a potential function α/r + εU (r = distance between particles, α = real constant, ε = real small parameter, U = perturbing potential). In this paper the nonlinear stability of the relative equilibrium orbits corresponding to such a potential is being investigated using a less usual method, which combines a block diagonalization technique with the reduction procedure. The test points out certain nonlinearly stable orbits, and is inconclusive for the remaining equilibria. The latter ones are treated via linearization; all of them prove instability. The nonlinearly stable orbits remain stable under any perturbation that preserves the conserved momentum.
abstractGer	For a large class of concrete astronomical situations, the motion of celestial bodies is modelled by dynamical systems associated to a potential function α/r + εU (r = distance between particles, α = real constant, ε = real small parameter, U = perturbing potential). In this paper the nonlinear stability of the relative equilibrium orbits corresponding to such a potential is being investigated using a less usual method, which combines a block diagonalization technique with the reduction procedure. The test points out certain nonlinearly stable orbits, and is inconclusive for the remaining equilibria. The latter ones are treated via linearization; all of them prove instability. The nonlinearly stable orbits remain stable under any perturbation that preserves the conserved momentum.
abstract_unstemmed	For a large class of concrete astronomical situations, the motion of celestial bodies is modelled by dynamical systems associated to a potential function α/r + εU (r = distance between particles, α = real constant, ε = real small parameter, U = perturbing potential). In this paper the nonlinear stability of the relative equilibrium orbits corresponding to such a potential is being investigated using a less usual method, which combines a block diagonalization technique with the reduction procedure. The test points out certain nonlinearly stable orbits, and is inconclusive for the remaining equilibria. The latter ones are treated via linearization; all of them prove instability. The nonlinearly stable orbits remain stable under any perturbation that preserves the conserved momentum.
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title_short	Stability of the relative equilibria in the generalized J2 problem
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up_date	2024-07-03T20:22:07.157Z
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