Standard

Studies of regular precessions of a symmetric satellite by means of computer algebra. / Shevchenko, Ivan I.; Sokolsky, Andrej G.

Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993. ed. / Manuel Bronstein. Association for Computing Machinery, 1993. p. 65-67 (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Shevchenko, II & Sokolsky, AG 1993, Studies of regular precessions of a symmetric satellite by means of computer algebra. in M Bronstein (ed.), Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993. Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, Association for Computing Machinery, pp. 65-67, 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993, Kiev, Ukraine, 6/07/93. https://doi.org/10.1145/164081.164094

APA

Shevchenko, I. I., & Sokolsky, A. G. (1993). Studies of regular precessions of a symmetric satellite by means of computer algebra. In M. Bronstein (Ed.), Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993 (pp. 65-67). (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC). Association for Computing Machinery. https://doi.org/10.1145/164081.164094

Vancouver

Shevchenko II, Sokolsky AG. Studies of regular precessions of a symmetric satellite by means of computer algebra. In Bronstein M, editor, Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993. Association for Computing Machinery. 1993. p. 65-67. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC). https://doi.org/10.1145/164081.164094

Author

Shevchenko, Ivan I. ; Sokolsky, Andrej G. / Studies of regular precessions of a symmetric satellite by means of computer algebra. Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993. editor / Manuel Bronstein. Association for Computing Machinery, 1993. pp. 65-67 (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).

BibTeX

@inproceedings{8600e78930cc4ea4a6db72e429f0e681,
title = "Studies of regular precessions of a symmetric satellite by means of computer algebra",
abstract = "The perturbed motion in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circular orbit is studied. The {"}Norma{"} specialized program package [1,2], intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used to obtain normal forms of the Hamiltonian. A full catalogue of non-resonant and resonant normal forms up to the 6th order of normalization is constructed for the case of hyperboloidal precession. The case of cylindrical precession, more complicated in analytical sense, is considered as well. Analytical expressions for coefficients of terms of the normal forms are derived as dependences on the frequencies and the initial physical parameters of the system. Though the intermediary expressions occupy megabytes of computer memory, the final normal forms are compact.",
author = "Shevchenko, {Ivan I.} and Sokolsky, {Andrej G.}",
year = "1993",
month = aug,
day = "1",
doi = "10.1145/164081.164094",
language = "English",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
publisher = "Association for Computing Machinery",
pages = "65--67",
editor = "Manuel Bronstein",
booktitle = "Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993",
address = "United States",
note = "1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993 ; Conference date: 06-07-1993 Through 08-07-1993",

}

RIS

TY - GEN

T1 - Studies of regular precessions of a symmetric satellite by means of computer algebra

AU - Shevchenko, Ivan I.

AU - Sokolsky, Andrej G.

PY - 1993/8/1

Y1 - 1993/8/1

N2 - The perturbed motion in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circular orbit is studied. The "Norma" specialized program package [1,2], intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used to obtain normal forms of the Hamiltonian. A full catalogue of non-resonant and resonant normal forms up to the 6th order of normalization is constructed for the case of hyperboloidal precession. The case of cylindrical precession, more complicated in analytical sense, is considered as well. Analytical expressions for coefficients of terms of the normal forms are derived as dependences on the frequencies and the initial physical parameters of the system. Though the intermediary expressions occupy megabytes of computer memory, the final normal forms are compact.

AB - The perturbed motion in the neighbourhood of regular precessions of a dynamically symmetric satellite on a circular orbit is studied. The "Norma" specialized program package [1,2], intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is used to obtain normal forms of the Hamiltonian. A full catalogue of non-resonant and resonant normal forms up to the 6th order of normalization is constructed for the case of hyperboloidal precession. The case of cylindrical precession, more complicated in analytical sense, is considered as well. Analytical expressions for coefficients of terms of the normal forms are derived as dependences on the frequencies and the initial physical parameters of the system. Though the intermediary expressions occupy megabytes of computer memory, the final normal forms are compact.

UR - http://www.scopus.com/inward/record.url?scp=0010960138&partnerID=8YFLogxK

U2 - 10.1145/164081.164094

DO - 10.1145/164081.164094

M3 - Conference contribution

AN - SCOPUS:0010960138

T3 - Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

SP - 65

EP - 67

BT - Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993

A2 - Bronstein, Manuel

PB - Association for Computing Machinery

T2 - 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC 1993

Y2 - 6 July 1993 through 8 July 1993

ER -

ID: 45990755