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On the Definition of the Astrocentric Coordinates in the Planetary Problem. / Mikryukov, D. V.

In: Astronomy Letters, Vol. 47, No. 11, 11.2021, p. 782-789.

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

Harvard

Mikryukov, DV 2021, 'On the Definition of the Astrocentric Coordinates in the Planetary Problem', Astronomy Letters, vol. 47, no. 11, pp. 782-789. https://doi.org/10.1134/S1063773721110049

APA

Mikryukov, D. V. (2021). On the Definition of the Astrocentric Coordinates in the Planetary Problem. Astronomy Letters, 47(11), 782-789. https://doi.org/10.1134/S1063773721110049

Vancouver

Mikryukov DV. On the Definition of the Astrocentric Coordinates in the Planetary Problem. Astronomy Letters. 2021 Nov;47(11):782-789. https://doi.org/10.1134/S1063773721110049

Author

Mikryukov, D. V. / On the Definition of the Astrocentric Coordinates in the Planetary Problem. In: Astronomy Letters. 2021 ; Vol. 47, No. 11. pp. 782-789.

BibTeX

@article{709d2b83896a4cc58e947637dd5ff970,
title = "On the Definition of the Astrocentric Coordinates in the Planetary Problem",
abstract = "Abstract: Two ways of defining the Poincar{\'e} astrocentric coordinates in the planetary problem are considered and compared. Both ways are shown to lead to the same system of equations of planetary motion after the elimination of the center of mass. Formulas for the transition from the osculating elements in the Poincar{\'e} coordinate system to the ordinary astrocentric osculating elements are given. The analytical apparatus constructed here is suitable for the practical application of perturbation methods, in particular, averaging methods.",
keywords = "astrocentric coordinates, canonical transformations, Hamiltonian, heliocentric coordinates, osculating elements, planetary problem, Poincar{\'e} canonical elements, Poincar{\'e} coordinates",
author = "Mikryukov, {D. V.}",
note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Inc.",
year = "2021",
month = nov,
doi = "10.1134/S1063773721110049",
language = "English",
volume = "47",
pages = "782--789",
journal = "Astronomy Letters",
issn = "1063-7737",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "11",

}

RIS

TY - JOUR

T1 - On the Definition of the Astrocentric Coordinates in the Planetary Problem

AU - Mikryukov, D. V.

N1 - Publisher Copyright: © 2021, Pleiades Publishing, Inc.

PY - 2021/11

Y1 - 2021/11

N2 - Abstract: Two ways of defining the Poincaré astrocentric coordinates in the planetary problem are considered and compared. Both ways are shown to lead to the same system of equations of planetary motion after the elimination of the center of mass. Formulas for the transition from the osculating elements in the Poincaré coordinate system to the ordinary astrocentric osculating elements are given. The analytical apparatus constructed here is suitable for the practical application of perturbation methods, in particular, averaging methods.

AB - Abstract: Two ways of defining the Poincaré astrocentric coordinates in the planetary problem are considered and compared. Both ways are shown to lead to the same system of equations of planetary motion after the elimination of the center of mass. Formulas for the transition from the osculating elements in the Poincaré coordinate system to the ordinary astrocentric osculating elements are given. The analytical apparatus constructed here is suitable for the practical application of perturbation methods, in particular, averaging methods.

KW - astrocentric coordinates

KW - canonical transformations

KW - Hamiltonian

KW - heliocentric coordinates

KW - osculating elements

KW - planetary problem

KW - Poincaré canonical elements

KW - Poincaré coordinates

UR - http://www.scopus.com/inward/record.url?scp=85126209743&partnerID=8YFLogxK

U2 - 10.1134/S1063773721110049

DO - 10.1134/S1063773721110049

M3 - Article

AN - SCOPUS:85126209743

VL - 47

SP - 782

EP - 789

JO - Astronomy Letters

JF - Astronomy Letters

SN - 1063-7737

IS - 11

ER -

ID: 94616851