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Expansion of the Principal Functions of Keplerian Motion Using Complex Variables. / Mikryukov, D. V. ; Kholshevnikov, K. V. .

в: Astronomy Letters, Том 42, № 4, 2016, стр. 268-275.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{91c70c85ab6c4627b4f49fb79c216ca4,
title = "Expansion of the Principal Functions of Keplerian Motion Using Complex Variables",
abstract = "A special system of canonical variables is considered. An algorithm for expanding the principal functions of Keplerian motion in new elements is presented. The advantage of the proposed system is a relatively small number of terms in the classical expansions of the unperturbed two-body problem. A method for expanding the time derivatives of the rectangular coordinates is proposed. Some estimates of the number of terms in the presented expansions have been obtained through numerical experiments.",
keywords = "задача двух тел, канонические преобразования, вторая система канонических элементов Пуанкаре, кеплеровский процессор",
author = "Mikryukov, {D. V.} and Kholshevnikov, {K. V.}",
note = "Mikryukov, D.V., Kholshevnikov, K.V. Expansion of the principal functions of Keplerian motion using complex variables. Astron. Lett. 42, 268–275 (2016). https://doi.org/10.1134/S1063773716040046",
year = "2016",
doi = "10.7868/S0320010816040045",
language = "English",
volume = "42",
pages = "268--275",
journal = "Astronomy Letters",
issn = "1063-7737",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "4",

}

RIS

TY - JOUR

T1 - Expansion of the Principal Functions of Keplerian Motion Using Complex Variables

AU - Mikryukov, D. V.

AU - Kholshevnikov, K. V.

N1 - Mikryukov, D.V., Kholshevnikov, K.V. Expansion of the principal functions of Keplerian motion using complex variables. Astron. Lett. 42, 268–275 (2016). https://doi.org/10.1134/S1063773716040046

PY - 2016

Y1 - 2016

N2 - A special system of canonical variables is considered. An algorithm for expanding the principal functions of Keplerian motion in new elements is presented. The advantage of the proposed system is a relatively small number of terms in the classical expansions of the unperturbed two-body problem. A method for expanding the time derivatives of the rectangular coordinates is proposed. Some estimates of the number of terms in the presented expansions have been obtained through numerical experiments.

AB - A special system of canonical variables is considered. An algorithm for expanding the principal functions of Keplerian motion in new elements is presented. The advantage of the proposed system is a relatively small number of terms in the classical expansions of the unperturbed two-body problem. A method for expanding the time derivatives of the rectangular coordinates is proposed. Some estimates of the number of terms in the presented expansions have been obtained through numerical experiments.

KW - задача двух тел

KW - канонические преобразования

KW - вторая система канонических элементов Пуанкаре

KW - кеплеровский процессор

UR - https://link.springer.com/article/10.1134/S1063773716040046

UR - https://elibrary.ru/item.asp?id=25670713

U2 - 10.7868/S0320010816040045

DO - 10.7868/S0320010816040045

M3 - Article

VL - 42

SP - 268

EP - 275

JO - Astronomy Letters

JF - Astronomy Letters

SN - 1063-7737

IS - 4

ER -

ID: 7609825