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Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian. / Shevchenko, Ivan I.; Sokolsky, Andrej G.

In: Celestial Mechanics & Dynamical Astronomy, Vol. 62, No. 4, 01.12.1995, p. 289-304.

Research output: Contribution to journal › Article › peer-review

Harvard

Shevchenko, II & Sokolsky, AG 1995, 'Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian', Celestial Mechanics & Dynamical Astronomy, vol. 62, no. 4, pp. 289-304. https://doi.org/10.1007/BF00692282

APA

Shevchenko, I. I., & Sokolsky, A. G. (1995). Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian. Celestial Mechanics & Dynamical Astronomy, 62(4), 289-304. https://doi.org/10.1007/BF00692282

Vancouver

Shevchenko II, Sokolsky AG. Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian. Celestial Mechanics & Dynamical Astronomy. 1995 Dec 1;62(4):289-304. https://doi.org/10.1007/BF00692282

Author

Shevchenko, Ivan I. ; Sokolsky, Andrej G. / Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian. In: Celestial Mechanics & Dynamical Astronomy. 1995 ; Vol. 62, No. 4. pp. 289-304.

BibTeX

@article{93d50e4daaaf40f2a927ed09b12d96d5,
title = "Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian",
abstract = "The 'Norma' specialized program package, intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used in studies of small-amplitude periodic motions in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circular orbit. The case of hyperboloidal precession is considered. Analytical expressions for normal forms and generating functions depending on frequencies of the system as on parameters are derived. Possible resonances are considered in particular. The 6th order of normalization is achieved. Though the intermediate analytical expressions occupy megabytes of computer's main memory, final ones are quite compact. Obtained analytical expressions are applied to the analysis of stability of small-amplitude periodic motions in the neighbourhood of hyperboloidal precession.",
keywords = "Hamiltonian system, normalization, precession of a satellite",
author = "Shevchenko, {Ivan I.} and Sokolsky, {Andrej G.}",
year = "1995",
month = dec,
day = "1",
doi = "10.1007/BF00692282",
language = "English",
volume = "62",
pages = "289--304",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Hyperboloidal precession of a dynamically symmetric satellite. Construction of normal forms of the Hamiltonian

AU - Shevchenko, Ivan I.

AU - Sokolsky, Andrej G.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - The 'Norma' specialized program package, intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used in studies of small-amplitude periodic motions in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circular orbit. The case of hyperboloidal precession is considered. Analytical expressions for normal forms and generating functions depending on frequencies of the system as on parameters are derived. Possible resonances are considered in particular. The 6th order of normalization is achieved. Though the intermediate analytical expressions occupy megabytes of computer's main memory, final ones are quite compact. Obtained analytical expressions are applied to the analysis of stability of small-amplitude periodic motions in the neighbourhood of hyperboloidal precession.

AB - The 'Norma' specialized program package, intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used in studies of small-amplitude periodic motions in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circular orbit. The case of hyperboloidal precession is considered. Analytical expressions for normal forms and generating functions depending on frequencies of the system as on parameters are derived. Possible resonances are considered in particular. The 6th order of normalization is achieved. Though the intermediate analytical expressions occupy megabytes of computer's main memory, final ones are quite compact. Obtained analytical expressions are applied to the analysis of stability of small-amplitude periodic motions in the neighbourhood of hyperboloidal precession.

KW - Hamiltonian system

KW - normalization

KW - precession of a satellite

UR - http://www.scopus.com/inward/record.url?scp=3643091656&partnerID=8YFLogxK

U2 - 10.1007/BF00692282

DO - 10.1007/BF00692282

M3 - Article

AN - SCOPUS:3643091656

VL - 62

SP - 289

EP - 304

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 4

ER -

ID: 45990451