Expansion of the Hamiltonian for the Planetary Problem into a Poisson series in the Heliocentric Reference Frame

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Expansion of the Hamiltonian for the Planetary Problem into a Poisson series in the Heliocentric Reference Frame. / Mikryukov, D. V. .

в: Astronomy Letters, Том 42, № 8, 2016, стр. 555-566.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{bec9686aaf8b452b89494e0c94a58562,

title = "Expansion of the Hamiltonian for the Planetary Problem into a Poisson series in the Heliocentric Reference Frame",

abstract = "An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.",

keywords = "disturbing function, Hamiltonian, heliocentric coordinates, Laplace coefficients, N-body problem, Poincar{\'e} canonical elements, Poisson series",

author = "Mikryukov, {D. V.}",

note = "Mikryukov, D.V. Expansion of the Hamiltonian for the planetary problem into a Poisson series in the heliocentric reference frame. Astron. Lett. 42, 555–566 (2016). https://doi.org/10.1134/S106377371608003X",

year = "2016",

doi = "10.1134/S106377371608003X",

language = "English",

volume = "42",

pages = "555--566",

journal = "Astronomy Letters",

issn = "1063-7737",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "8",

}

RIS

TY - JOUR

T1 - Expansion of the Hamiltonian for the Planetary Problem into a Poisson series in the Heliocentric Reference Frame

AU - Mikryukov, D. V.

N1 - Mikryukov, D.V. Expansion of the Hamiltonian for the planetary problem into a Poisson series in the heliocentric reference frame. Astron. Lett. 42, 555–566 (2016). https://doi.org/10.1134/S106377371608003X

PY - 2016

Y1 - 2016

N2 - An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.

AB - An expansion of the Hamiltonian for the N-planet problem into a Poisson series using a system of modified (complex) Poincare´ canonical elements in the heliocentric coordinate system is constructed. The Lagrangian and Hamiltonian formalisms are used. The first terms in the expansions of the principal and complementary parts of the disturbing function are presented. Estimates of the number of terms in the presented expansions have been obtained through numerical experiments. A comparison with the results of other authors is made.

KW - disturbing function

KW - Hamiltonian

KW - heliocentric coordinates

KW - Laplace coefficients

KW - N-body problem

KW - Poincaré canonical elements

KW - Poisson series

UR - https://link.springer.com/article/10.1134/S106377371608003X

UR - https://www.elibrary.ru/item.asp?id=27136062

UR - https://elibrary.ru/item.asp?id=26301638

U2 - 10.1134/S106377371608003X

DO - 10.1134/S106377371608003X

M3 - Article

AN - SCOPUS:84981713474

VL - 42

SP - 555

EP - 566

JO - Astronomy Letters

JF - Astronomy Letters

SN - 1063-7737

IS - 8

ER -

ID: 32711792